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Paper Citation Record · LEDGER

Soft Factorisation and Exponentiation from Schwinger-Space Geometry

As of 19 August 2026, this Paper Citation Record lists 100 of 106 outbound references and 0 inbound Pith citation observations for arXiv:2506.15603.

A citation records a reference. It does not transfer a finding from one paper to another.

pith.paper-citation-record.v1
2506.15603 v1

Coverage vector

measured 100 of 106 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-07T00:00:29.988503Z

measured 100 of 100 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-19T06:32:44.657259+00:00

measured 0 of 0 inbound itemization

Pith citing papers itemized under the disclosed page cap.

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measured 0 of 1 external citation measurements

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Reference resolution

100 of 106 outbound references displayed

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  • verified fuzzy9
  • unresolved87
  • parse uncertain0
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Outbound references

Observation b745a0cc-5f32-4a30-a493-4e426205974f · outbound

This paper cites The Infrared Structure of Perturbative Gauge Theories.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry The Infrared Structure of Perturbative Gauge Theories

Reference 1

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Observation cd9c02d2-056f-4a31-905b-cd58de972a92 · outbound

This paper cites Bloch and A.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Bloch and A

Reference 2

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Observation 2ea1569e-c68e-4646-b467-e67109ef0d96 · outbound

This paper cites Doria, J.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Doria, J

Reference 3

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Observation d876330e-f057-4ed7-8e2e-232bc9e125d8 · outbound

This paper cites Di’Lieto, S.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Di’Lieto, S

Reference 4

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Observation 87c496c8-9a6f-4517-8610-ff9117a75009 · outbound

This paper cites On the non-cancellation of infrared singularities in collisions of massive quarks.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry On the non-cancellation of infrared singularities in collisions of massive quarks

Reference 5

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source=pdf_text observed=2026-08-07T00:00:17.525744Z digest=sha256:4f47bdf80d66a32fc8a7c2a2b11894075b9faf6f7d41c0a9b1dfd05ac6d95d61

Observation 8927a55c-c17c-4977-8688-9ccd1d0be712 · outbound

This paper cites Kinoshita, Mass singularities of Feynman amplitudes , J.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Kinoshita, Mass singularities of Feynman amplitudes , J

Reference 6

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Observation efc04fa1-61e9-42c0-b97f-26be78692c9e · outbound

This paper cites Lee and M.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Lee and M

Reference 7

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source=pdf_text observed=2026-08-07T00:00:17.774908Z digest=sha256:e5a117f661dd2dc32557f18d6ad9aeb55405dcfd67015c566b232a649a96b853

Observation cc130d0f-59e2-4afb-a03b-c3f74b1a2691 · outbound

This paper cites Infrared Finiteness and Forward Scattering.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Infrared Finiteness and Forward Scattering

Reference 8

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Observation ea39ccaa-341e-467e-96ae-8b64b9e6fdac · outbound

This paper cites Sterman and S.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Sterman and S

Reference 9

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source=pdf_text observed=2026-08-07T00:00:18.013836Z digest=sha256:054ffe63922395e9af4e23a03ebf720f7fa0bc20e8454c7a6b917d4562b60ba1

Observation a99d48d0-23c9-43d1-9cba-34836a19118e · outbound

This paper cites Clavelli, Jet Invariant Mass in Quantum Chromodynamics , Phys.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Clavelli, Jet Invariant Mass in Quantum Chromodynamics , Phys

Reference 10

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source=pdf_text observed=2026-08-07T00:00:18.121301Z digest=sha256:3b596caabe8fe2565db3faf6c841e336b0e65108372e2665ecf64cea8fa5725b

Observation 864a5e57-0e22-4737-bbb0-1c14a67af855 · outbound

This paper cites Farhi, A QCD Test for Jets , Phys.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Farhi, A QCD Test for Jets , Phys

Reference 11

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source=pdf_text observed=2026-08-07T00:00:18.275013Z digest=sha256:16cb67695f7fd9f14878f8de8d8f221b167d2d95d96516be720e8b3467bf0e77

Observation 5b78eeff-fe66-4f55-ab87-c6b93babe1e7 · outbound

This paper cites Catani, G.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Catani, G

Reference 12

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source=pdf_text observed=2026-08-07T00:00:18.392005Z digest=sha256:8c9ca83ec99b2db3940b48fc87a52dc9f728921f29de1a3f4ffed1b7a6591999

Observation 1ce3d048-1112-4238-88ba-29763f63b5fe · outbound

This paper cites Catani, L.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Catani, L

Reference 13

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source=pdf_text observed=2026-08-07T00:00:18.505070Z digest=sha256:67d87714837c9986ec5d428627fd9564edba67b6c8ee0dd160f99795516fc4e1

Observation b8428b31-638c-45c9-bf85-35deb36b8c6d · outbound

This paper cites On Determining $\alpha_s(m_Z)$ from Dijets in $e^+e^-$ Thrust.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry On Determining $\alpha_s(m_Z)$ from Dijets in $e^+e^-$ Thrust

Reference 14

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source=pdf_text observed=2026-08-07T00:00:18.684753Z digest=sha256:a6db24c4243f9266d28757010678617c23d6eaec9cc02bb482ad2ea557d5d1c7

Observation 9e5b4645-0e4c-4d9f-b139-7fa82202db67 · outbound

This paper cites A Precise Determination of $\alpha_s$ from the Heavy Jet Mass Distribution.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry A Precise Determination of $\alpha_s$ from the Heavy Jet Mass Distribution

Reference 15

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source=pdf_text observed=2026-08-07T00:00:18.877519Z digest=sha256:672ab6ac5b9ad4cda58463ec3c6390dbcdef10fc663d6bbb25d698c0ddd2d2be

Observation d6daa05b-c30c-4d87-9abb-544b6c146c2c · outbound

This paper cites Jet Substructure at the Large Hadron Collider: A Review of Recent Advances in Theory and Machine Learning.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Jet Substructure at the Large Hadron Collider: A Review of Recent Advances in Theory and Machine Learning

Reference 16

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source=pdf_text observed=2026-08-07T00:00:19.081410Z digest=sha256:c1bd76e35d5a7a428f587e9b1da39bc5b7ff0ffc2ab675995471c9794abfcd17

Observation 7d1cedaa-6072-4b4c-a127-801b9d19a569 · outbound

This paper cites Looking inside jets: an introduction to jet substructure and boosted-object phenomenology.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Looking inside jets: an introduction to jet substructure and boosted-object phenomenology

Reference 17

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Observation 1177b752-b89f-4acd-aaba-bbe62af29398 · outbound

This paper cites Snowmass White Paper: S-matrix Bootstrap.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Snowmass White Paper: S-matrix Bootstrap

Reference 18

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source=pdf_text observed=2026-08-07T00:00:19.390123Z digest=sha256:8a339bfaeb6adc0afc941121555681eab737896d1d330c0ecf0aa7b75fa63ec7

Observation 5154968c-4bf8-4017-91e1-97b3a72e5179 · outbound

This paper cites Dollard, Asymptotic Convergence and the Coulomb Interaction , Journal of Mathematical Physics 5 (1964) 729.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Dollard, Asymptotic Convergence and the Coulomb Interaction , Journal of Mathematical Physics 5 (1964) 729

Reference 19

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source=pdf_text observed=2026-08-07T00:00:19.544918Z digest=sha256:609c6f978493ba19f3ce2cfc8ab0c462ae8c2500fd602b1eabdf8c7900ea5810

Observation 15c79ae7-2f52-4263-974b-1e32e88aa601 · outbound

This paper cites Dollard, Quantum-Mechanical Scattering Theory for Short-Range and Coulomb Interactions, The Rocky Mountain Journal of Mathematics (1971) 5.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Dollard, Quantum-Mechanical Scattering Theory for Short-Range and Coulomb Interactions, The Rocky Mountain Journal of Mathematics (1971) 5

Reference 20

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Observation ff824ecd-1fc8-40bb-bfc7-5eebf9c03c24 · outbound

This paper cites Chung, Infrared Divergence in Quantum Electrodynamics, Phys.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Chung, Infrared Divergence in Quantum Electrodynamics, Phys

Reference 21

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Observation 1d5e8d0c-bfdc-4729-af18-d23ce20dc9f0 · outbound

This paper cites Kulish and L.D.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Kulish and L.D

Reference 22

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Observation dc07e235-e82e-45e6-81ca-92bcf0ec9d9a · outbound

This paper cites A Finite $S$-Matrix.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry A Finite $S$-Matrix

Reference 23

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Observation e294b2d1-c541-431d-aa22-d1cf9da55bd8 · outbound

This paper cites An $S$-Matrix for Massless Particles.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry An $S$-Matrix for Massless Particles

Reference 24

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Observation 64aa2e31-565a-41e0-a01f-e5294c365c6f · outbound

This paper cites Infrared singularities of scattering amplitudes in perturbative QCD.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Infrared singularities of scattering amplitudes in perturbative QCD

Reference 25

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Observation 2b1d845b-91b7-4143-8e80-e947384fc8f7 · outbound

This paper cites Infrared singularities in QCD amplitudes.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Infrared singularities in QCD amplitudes

Reference 26

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Observation 4da76455-a592-4141-9d36-8ee7a79815f2 · outbound

This paper cites On the Structure of Infrared Singularities of Gauge-Theory Amplitudes.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry On the Structure of Infrared Singularities of Gauge-Theory Amplitudes

Reference 27

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Observation 6ab71f46-09f0-4f66-a23c-022aeca8402a · outbound

This paper cites Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Factorization constraints for soft anomalous dimensions in QCD scattering amplitudes

Reference 28

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Observation 706d7755-9043-4da5-bab8-1ae27b965e59 · outbound

This paper cites Collins, D.E.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Collins, D.E

Reference 29

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Observation f26f9bf3-e139-486e-9695-b08e1f359dcf · outbound

This paper cites Collins, D.E.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Collins, D.E

Reference 30

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Observation 71c49145-66e3-4e70-98dd-4736470df172 · outbound

This paper cites Collins, D.E.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Collins, D.E

Reference 31

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Observation 21a573d5-e40f-47c6-869d-aaeb04bf78f6 · outbound

This paper cites Sen, Asymptotic Behavior of the Wide Angle On-Shell Quark Scattering Amplitudes in Nonabelian Gauge Theories , Phys.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Sen, Asymptotic Behavior of the Wide Angle On-Shell Quark Scattering Amplitudes in Nonabelian Gauge Theories , Phys

Reference 32

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Observation 1b1208aa-de1e-496f-a405-30eca9c029a3 · outbound

This paper cites Collins, D.E.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Collins, D.E

Reference 33

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source=pdf_text observed=2026-08-07T00:00:21.560839Z digest=sha256:7276b6521aa6e83132a77818bcb357eddd871a2ebd458fbfffbbe5a5f4200776

Observation 524215db-f999-4a32-9b31-8192c839d3db · outbound

This paper cites Factorization of Hard Processes in QCD.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Factorization of Hard Processes in QCD

Reference 34

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Observation 46a7e427-9d61-4f53-9f71-763ab18040f8 · outbound

This paper cites Sudakov Factorization and Resummation.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Sudakov Factorization and Resummation

Reference 35

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Observation 69be0bcf-e52b-4c43-aebf-a1b7532b903d · outbound

This paper cites Evolution of Color Exchange in QCD Hard Scattering.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Evolution of Color Exchange in QCD Hard Scattering

Reference 36

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source=pdf_text observed=2026-08-07T00:00:21.974754Z digest=sha256:d42977e130e3c6c8b32bf4a5e4423bbb5f1c13b5293d93ede383bff5e5dd11f4

Observation 0153dd9d-91eb-4ae3-b369-86acfca0ec1a · outbound

This paper cites The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry The Two-loop Soft Anomalous Dimension Matrix and Resummation at Next-to-next-to Leading Pole

Reference 37

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source=pdf_text observed=2026-08-07T00:00:22.167100Z digest=sha256:5c248cdd4db2908b0640612e067a84827f9cb5c46c0688d0a85bf1747e5336b5

Observation 22f90022-1f64-4703-841f-a27a9a0771d3 · outbound

This paper cites An on-shell approach to factorization.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry An on-shell approach to factorization

Reference 38

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source=pdf_text observed=2026-08-07T00:00:22.314749Z digest=sha256:147e8c55538399910037cfbe9246e26780ea0d598e8641f875d61fc1015e1e20

Observation f77ede96-e463-4a1f-967c-fa53141b5385 · outbound

This paper cites Hard-Soft-Collinear Factorization to All Orders.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Hard-Soft-Collinear Factorization to All Orders

Reference 39

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Observation 736e313e-3ef0-4172-a7d8-b63c5d433984 · outbound

This paper cites Summing Sudakov logarithms in B -> X_s + gamma in effective field theory.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Summing Sudakov logarithms in B -> X_s + gamma in effective field theory

Reference 40

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source=pdf_text observed=2026-08-07T00:00:22.516293Z digest=sha256:cb8d8d86932a890b0f2edc8c3be5c438039bc79b263d1e0a6fd813308373cef5

Observation 0273d1ed-43ce-451e-91bc-268220b98570 · outbound

This paper cites Soft-Collinear Factorization in Effective Field Theory.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Soft-Collinear Factorization in Effective Field Theory

Reference 41

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source=pdf_text observed=2026-08-07T00:00:22.651453Z digest=sha256:e3d2421a1f9c20fddf4d4fae664fa64972cf6d844e03cc6ae8275092bae24085

Observation 3f0c001f-f6f0-467a-83e4-79e9d8b19f47 · outbound

This paper cites Soft-collinear effective theory and heavy-to-light currents beyond leading power.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Soft-collinear effective theory and heavy-to-light currents beyond leading power

Reference 42

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source=pdf_text observed=2026-08-07T00:00:22.788422Z digest=sha256:67a0b332eacc2b2403fa0cfacf8d2cb4b96df7722c14803818be4a9d746638bb

Observation 239705fe-ec41-4798-8e3f-54a6b968c8f3 · outbound

This paper cites Stewart, Lectures on the Soft-Collinear Effective Theory , Lectures on the Soft-Collinear Effective Theory, MIT Open Courseware (2013).

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Stewart, Lectures on the Soft-Collinear Effective Theory , Lectures on the Soft-Collinear Effective Theory, MIT Open Courseware (2013)

Reference 43

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source=pdf_text observed=2026-08-07T00:00:22.902592Z digest=sha256:2b8f43d66bfc08e06baf8a6a1c3a32b2aceb8be94b6db4f6d1c94e243b64bbdc

Observation a4ec9dbf-c1e7-4e27-815d-3ebb03d70372 · outbound

This paper cites Introduction to Soft-Collinear Effective Theory.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Introduction to Soft-Collinear Effective Theory

Reference 44

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source=pdf_text observed=2026-08-07T00:00:23.000201Z digest=sha256:577c61dfdc39510c5ef06c14abddb841f090b9fdedb45feca93a842958b34ef7

Observation 6764a254-ceef-4e4a-846a-af4ce5d45892 · outbound

This paper cites Polyakov, Gauge Fields as Rings of Glue , Nucl.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Polyakov, Gauge Fields as Rings of Glue , Nucl

Reference 45

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source=pdf_text observed=2026-08-07T00:00:23.144753Z digest=sha256:eeba3eaa7635e6a802bbb65a25c6cf98133e00322cdf701faf85fece8ce02c4f

Observation 01533582-49a6-4958-ba5f-e9696213be50 · outbound

This paper cites Arefeva, Quantum Contour Field Equations , Phys.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Arefeva, Quantum Contour Field Equations , Phys

Reference 46

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source=pdf_text observed=2026-08-07T00:00:23.190040Z digest=sha256:2309e8d1fe014a2ba41fce1ec6a1a1a53fbd3defccc3dfc9a9a56fd4f2849995

Observation 6a11ec01-fe73-43a8-a9dd-9f1c8001eb1b · outbound

This paper cites Dotsenko and S.N.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Dotsenko and S.N

Reference 47

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source=pdf_text observed=2026-08-07T00:00:23.270154Z digest=sha256:8f848bdb48ae25b8233410d39c32742de94006ca34524794bd1af906de7f1976

Observation 0737f669-8748-4769-8b1e-e19b1a9c418b · outbound

This paper cites Brandt, F.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Brandt, F

Reference 48

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source=pdf_text observed=2026-08-07T00:00:23.345544Z digest=sha256:f2571dca20049177e0c820ca24c780da45d9fd1606617b93984ff2211416d57e

Observation 7eccef39-276d-4543-9bdd-a551fbf52568 · outbound

This paper cites Korchemsky and A.V.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Korchemsky and A.V

Reference 49

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source=pdf_text observed=2026-08-07T00:00:23.469035Z digest=sha256:0881b6bf303ce4ad9e4d02d2fd6c4a45e2ff1f8410cb1144b00f266c8d50624d

Observation b7a58e7d-3ddd-4973-93e8-c2baac07aca1 · outbound

This paper cites Korchemsky and A.V.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Korchemsky and A.V

Reference 50

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source=pdf_text observed=2026-08-07T00:00:23.629327Z digest=sha256:61d5cdeb7ec00ab04116fae1375511d5cd5ea6421261da352e8490cea492c5fa

Observation 35f380e3-7bd1-4184-a017-8901abd3f4c2 · outbound

This paper cites Korchemsky and A.V.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Korchemsky and A.V

Reference 51

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source=pdf_text observed=2026-08-07T00:00:23.754052Z digest=sha256:d31e994474af789ec15ad733b2130340d397ea210468c7fd150d1115f1c553f6

Observation c48ca561-2e1a-4f04-8eb1-770a80b8836e · outbound

This paper cites The Massive Soft Anomalous Dimension Matrix at Two Loops.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry The Massive Soft Anomalous Dimension Matrix at Two Loops

Reference 52

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local_arxiv, observed 2026-08-07T00:00:32.561281Z

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source=pdf_text observed=2026-08-07T00:00:23.862985Z digest=sha256:eb0aaaf067bb6c3abec95f9310bce422a230c0421555ad9d003f5bee0d14f878

Observation 5a014e26-bfb2-41b1-b1b1-cf5400958c2c · outbound

This paper cites Two-loop divergences of massive scattering amplitudes in non-abelian gauge theories.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Two-loop divergences of massive scattering amplitudes in non-abelian gauge theories

Reference 53

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source=pdf_text observed=2026-08-07T00:00:23.989599Z digest=sha256:430999ab2f5a4ebbe83afc6a0bbc7ae8fdfd82f54812f85809c24670e1ffa9ef

Observation 05617e56-acab-49be-a644-575055c31854 · outbound

This paper cites Two-loop divergences of scattering amplitudes with massive partons.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Two-loop divergences of scattering amplitudes with massive partons

Reference 54

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source=pdf_text observed=2026-08-07T00:00:24.100678Z digest=sha256:2cc9c67161d29ac1381b7b25c77c3ae02442a42439070ad26bc46a2cfcbcb5f3

Observation b6987d15-a989-4826-a66c-7ffa0c84a858 · outbound

This paper cites Three-loop corrections to the soft anomalous dimension in multi-leg scattering.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Three-loop corrections to the soft anomalous dimension in multi-leg scattering

Reference 55

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source=pdf_text observed=2026-08-07T00:00:24.307877Z digest=sha256:792b1f452f5ff8b7e63a4df638ca3e1ccbc08e4ac748dbb591dbbbff5a6e6584

Observation f5557e8d-f701-4080-8b92-0542645f3c5f · outbound

This paper cites Bootstrapping the QCD soft anomalous dimension.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Bootstrapping the QCD soft anomalous dimension

Reference 56

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source=pdf_text observed=2026-08-07T00:00:24.469970Z digest=sha256:f1dc2ce03191a9367387e2bfc6713e5ae2e65edccc61cbdc2f9fd9bbe510f974

Observation ec50a625-cdcb-4396-aa2c-e366fa398bc8 · outbound

This paper cites Infrared singularities of multi-leg QCD amplitudes with a massive parton at three loops.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Infrared singularities of multi-leg QCD amplitudes with a massive parton at three loops

Reference 57

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source=pdf_text observed=2026-08-07T00:00:24.577686Z digest=sha256:6b1ca9aa2c44c1edefd0107f9f44e8ac3c35ec75f9769c6a4bf579d67dd908f4

Observation 403e3736-e646-4b6a-b868-34a5903677e0 · outbound

This paper cites The Three-Loop Splitting Functions in QCD: The Non-Singlet Case.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry The Three-Loop Splitting Functions in QCD: The Non-Singlet Case

Reference 58

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source=pdf_text observed=2026-08-07T00:00:24.759411Z digest=sha256:745f8dfe8e465f6736f7497e7ec39feac716918c07ba600bcac9f128faf389e5

Observation 04017ee5-e87e-4f7d-9cc9-55898144710f · outbound

This paper cites The Three-Loop Splitting Functions in QCD: The Singlet Case.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry The Three-Loop Splitting Functions in QCD: The Singlet Case

Reference 59

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source=pdf_text observed=2026-08-07T00:00:24.864769Z digest=sha256:b69e653ffa52abb5f93ca6929f49ab3943a5047502239e9881e5caaaf40bf1ae

Observation 3b70e76a-37e2-47fc-bed4-f469d9776c9f · outbound

This paper cites Matter dependence of the four-loop QCD cusp anomalous dimension: from small angles to all angles.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Matter dependence of the four-loop QCD cusp anomalous dimension: from small angles to all angles

Reference 60

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source=pdf_text observed=2026-08-07T00:00:25.004149Z digest=sha256:70d2abbc0d8d898847bc3c07838979944e80f5fe8b04b303d0d681d86e469e25

Observation b52458ba-d357-45f5-935a-9ebf83ff4061 · outbound

This paper cites The full four-loop cusp anomalous dimension in $\mathcal{N}=4$ super Yang-Mills and QCD.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry The full four-loop cusp anomalous dimension in $\mathcal{N}=4$ super Yang-Mills and QCD

Reference 61

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source=pdf_text observed=2026-08-07T00:00:25.146965Z digest=sha256:2c0a5c2067e1eb17b05b18ed8c1ab4214f4eb3e961c51d5670cc7ef0ea3982d4

Observation 1829427b-f7f1-4769-92c6-76d3d1d2ac9f · outbound

This paper cites Cusp and collinear anomalous dimensions in four-loop QCD from form factors.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Cusp and collinear anomalous dimensions in four-loop QCD from form factors

Reference 62

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source=pdf_text observed=2026-08-07T00:00:25.259282Z digest=sha256:bf92a0605079db0eae7a16de16e4c07f7cf8a4cf3c08833d2e4a0e783a2849ef

Observation 3dd12e90-8a3f-46c7-8c2b-9b67c9ef9af2 · outbound

This paper cites Two-loop corrections to Higgs boson production.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Two-loop corrections to Higgs boson production

Reference 63

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source=pdf_text observed=2026-08-07T00:00:25.361956Z digest=sha256:add5ae745b502af53e2986f7cf5cf864d4300bc5f5f6554e215c4886bd348b9c

Observation 8c9fd256-b959-4543-b06d-969a0d7dbbd2 · outbound

This paper cites The Quark Form Factor at Higher Orders.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry The Quark Form Factor at Higher Orders

Reference 64

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source=pdf_text observed=2026-08-07T00:00:25.590943Z digest=sha256:0f36c6a86c5773fb1b7b9f1d49ec9796b39c29ae8e572601fcbd314f94683587

Observation 11f770f9-5d9d-495e-a016-15533b36b2b7 · outbound

This paper cites Three-Loop Results for Quark and Gluon Form Factors.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Three-Loop Results for Quark and Gluon Form Factors

Reference 65

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source=pdf_text observed=2026-08-07T00:00:25.724754Z digest=sha256:c5673e28482286836083e0aeb4f2a58d2cfc4e5f44516f4d62fb4f69109cb74e

Observation 3e633afb-8899-43c7-817f-b5586e43221e · outbound

This paper cites Four-loop collinear anomalous dimensions in QCD and $\mathcal{N} = 4$ super Yang-Mills.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Four-loop collinear anomalous dimensions in QCD and $\mathcal{N} = 4$ super Yang-Mills

Reference 66

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source=pdf_text observed=2026-08-07T00:00:25.847619Z digest=sha256:47babfa6bba206bec609268909140a83cebbcfd746c5119eed741264c25b77b7

Observation 8299c91b-db55-4998-aeef-c4929ee3092e · outbound

This paper cites Weinberg, Infrared photons and gravitons , Phys.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Weinberg, Infrared photons and gravitons , Phys

Reference 67

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source=pdf_text observed=2026-08-07T00:00:25.966183Z digest=sha256:de6e3007cf4558b979f75324066ac11dae679751c203bfcfb90575c5717f6b08

Observation 54484019-0d49-4593-a390-675f156a0b6c · outbound

This paper cites Yennie, S.C.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Yennie, S.C

Reference 68

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source=pdf_text observed=2026-08-07T00:00:26.084766Z digest=sha256:20bc7fe57d483091973ada29ef400b07ba199a2b2c8fa64629c53bb216af6cab

Observation 930c8e18-89a7-4164-a309-c7570185705f · outbound

This paper cites QED as a many-body theory of worldlines: I. General formalism and infrared structure.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry QED as a many-body theory of worldlines: I. General formalism and infrared structure

Reference 69

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source=pdf_text observed=2026-08-07T00:00:26.175801Z digest=sha256:3024947b51dd43b426428f4084040e78f68483acc49edbc180993c93cdcf37c7

Observation d3387dfc-9715-428b-8247-ca1f9adad621 · outbound

This paper cites QED as a many-body theory of worldlines: II. All-order S-matrix formalism.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry QED as a many-body theory of worldlines: II. All-order S-matrix formalism

Reference 70

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local_arxiv, observed 2026-08-07T00:00:31.613996Z

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source=pdf_text observed=2026-08-07T00:00:26.284738Z digest=sha256:1354eb02afd92fc044bf21153a8d205fb21e4bcdb8b0b0cd7fb960258c3df558

Observation 5bf19337-67e1-4c26-839f-e610ce4748fd · outbound

This paper cites Feynman Integrals.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Feynman Integrals

Reference 71

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source=pdf_text observed=2026-08-07T00:00:26.387836Z digest=sha256:cc4cf00b3b9e5fdcf799c21615f5a7a1a6e155d8f8abb0664d8e16f5080800d1

Observation af490a29-7cec-4c7d-bc86-ccb70b4e9dcc · outbound

This paper cites What is the $i\varepsilon$ for the S-matrix?.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry What is the $i\varepsilon$ for the S-matrix?

Reference 72

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source=pdf_text observed=2026-08-07T00:00:26.476053Z digest=sha256:10c0cfbd88e8adcb88117105f4169804494ea1c33aa9b3b6c2883d0bc479f270

Observation 7a9f09ab-0618-40c5-ac7e-e52eec794abb · outbound

This paper cites Maclagan and B.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Maclagan and B

Reference 73

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source=pdf_text observed=2026-08-07T00:00:26.572172Z digest=sha256:fd07e642a3e74b11fc4ad46db8f8017efb7762b10397935e778ec727960434ad

Observation 4a566952-72b4-4c30-bcc9-d9d8087bd48c · outbound

This paper cites The on-shell expansion: from Landau equations to the Newton polytope.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry The on-shell expansion: from Landau equations to the Newton polytope

Reference 74

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source=pdf_text observed=2026-08-07T00:00:26.681155Z digest=sha256:caecbe892f28ce1b5f06932fc7c09f15c488a3870f9dbbec9f06c016c4d0cbc3

Observation 1b03ea60-30a8-4ec2-b78f-bb1cdb606154 · outbound

This paper cites Identifying regions in wide-angle scattering via graph-theoretical approaches.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Identifying regions in wide-angle scattering via graph-theoretical approaches

Reference 75

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source=pdf_text observed=2026-08-07T00:00:26.797349Z digest=sha256:e245f46927403a003801f90d90a5b0cae5b4d4d2675da4357da621206577020e

Observation 821cfb43-4a8e-4d74-bb61-75c270c2b43d · outbound

This paper cites Dissecting polytopes: Landau singularities and asymptotic expansions in $2\to 2$ scattering.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Dissecting polytopes: Landau singularities and asymptotic expansions in $2\to 2$ scattering

Reference 76

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source=pdf_text observed=2026-08-07T00:00:26.935306Z digest=sha256:3bfc2c5e2afee96128e60182a7f2fb2b3b4d0acb4a81ef6a0f2e81b1bac3c4f6

Observation 922f3cce-c4dd-4459-8c44-6d0fb8fb1fdc · outbound

This paper cites Bjorken, Experimental tests of Quantum electrodynamics and spectral representations of Green ’s functions in perturbation theory, Ph.D.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Bjorken, Experimental tests of Quantum electrodynamics and spectral representations of Green ’s functions in perturbation theory, Ph.D

Reference 77

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raw_fallback, observed 2026-08-07T00:00:34.941626Z

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source=pdf_text observed=2026-08-07T00:00:27.105594Z digest=sha256:6fef2a9c86a650378c00f371b9f92dda2c38a93508dd0bd523095e4de7ded4ef

Observation e4c9f9c4-b62e-4cc2-b235-62c67690be75 · outbound

This paper cites Landau, On analytic properties of vertex parts in quantum field theory , Nucl.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Landau, On analytic properties of vertex parts in quantum field theory , Nucl

Reference 78

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raw_fallback, observed 2026-08-07T00:00:34.724847Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T00:00:27.145889Z digest=sha256:dba958232f46a0998ed82a832a218e8a05a0588d8c3c84b965a3d8726d1a3cab

Observation c1936bf7-33e9-434f-8af6-962e6b9c0d41 · outbound

This paper cites Nakanishi, Ordinary and Anomalous Thresholds in Perturbation Theory , Prog.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Nakanishi, Ordinary and Anomalous Thresholds in Perturbation Theory , Prog

Reference 79

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:00:34.485371Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T00:00:27.247259Z digest=sha256:c1b177eac96b02d689224d53d01958dd1ed725c3c8731f969ce2f6f5740d00cc

Observation b332ea79-6e66-4204-b4dd-5b3c98da82bd · outbound

This paper cites Expansion by regions: revealing potential and Glauber regions automatically.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Expansion by regions: revealing potential and Glauber regions automatically

Reference 80

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:27.367841Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:27.367841Z digest=sha256:598f981a4727b786efb05b10535b754dd0313841c97c573bb694cb4f34344f21

Observation d2fd0e59-5d44-4e41-8981-eeca936e3df3 · outbound

This paper cites A Subtraction Scheme for Feynman Integrals.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry A Subtraction Scheme for Feynman Integrals

Reference 81

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:27.488130Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:27.488130Z digest=sha256:62a97b5915646e5a2982456ec5f4035e60222f656b1b832011fb597724dda798

Observation a06ccd66-4a5b-4b23-803a-9b3e5781615f · outbound

This paper cites The Tropical Geometry of Subtraction Schemes.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry The Tropical Geometry of Subtraction Schemes

Reference 82

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:27.583029Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:27.583029Z digest=sha256:cfff02d8d4ab06233a4cba9e62cf78d3b1bcd8920e0e15340b4d7f3ff5097e3f

Observation d61f5b96-a127-46f1-8a0e-fa120a72c07c · outbound

This paper cites Expansion by regions with pySecDec.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Expansion by regions with pySecDec

Reference 83

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:27.694749Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:27.694749Z digest=sha256:26635054e314d73a31f94347069e60584821bacdc87c6b46d26853a76145196c

Observation cd97d686-60f1-4a31-9db0-40550e610335 · outbound

This paper cites Feynman Polytopes and the Tropical Geometry of UV and IR Divergences.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Feynman Polytopes and the Tropical Geometry of UV and IR Divergences

Reference 84

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:27.795989Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:27.795989Z digest=sha256:08840e84c193968a3228b0c337aface95e31d7baaafbc9bca8642da31012ee94

Observation 9959a977-327f-4a00-b37c-aa06adce31ff · outbound

This paper cites Kirchhoff, On the solution of the equations obtained from the investigation of the linear distribution of galvanic currents , IRE Transactions on Circuit Theory 5 (1958) 4.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Kirchhoff, On the solution of the equations obtained from the investigation of the linear distribution of galvanic currents , IRE Transactions on Circuit Theory 5 (1958) 4

Reference 85

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:00:34.284550Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T00:00:27.925246Z digest=sha256:00e480c4c814f445698d7dc3ddf65306df26509e39e76e816756c873ac51d5f5

Observation 94340815-0e41-4eec-a125-6ddcf8b91f23 · outbound

This paper cites Frenkel and J.C.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Frenkel and J.C

Reference 86

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:00:34.076888Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T00:00:28.068532Z digest=sha256:c04969ed68bf87bdf9d6a8773a7566cd23fabaaa6f301f09045fa7157969c4e0

Observation 04570e8f-51cc-4ebc-9145-6440fb0715e4 · outbound

This paper cites Webs in multiparton scattering using the replica trick.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Webs in multiparton scattering using the replica trick

Reference 87

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:28.214365Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:28.214365Z digest=sha256:1daaee85c974a726925bdeef24134945d12d46d2313479b45b9dcebcb9a3491b

Observation 02157ae7-dcda-4546-9a5a-4b6602d5c938 · outbound

This paper cites On the renormalization of multiparton webs.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry On the renormalization of multiparton webs

Reference 88

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:28.334042Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:28.334042Z digest=sha256:34024e28dc07d0bd56d1c0949c0671c944f27b8f25bdd37505cbad4ec4276eb1

Observation acb12c23-dcd8-4bf6-a0cc-ea24f5370f66 · outbound

This paper cites The Non-Abelian Exponentiation theorem for multiple Wilson lines.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry The Non-Abelian Exponentiation theorem for multiple Wilson lines

Reference 89

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:28.444124Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:28.444124Z digest=sha256:cfc725c2897126a35c65083a9e3f702651246dc3cd8f1cdf5074dfd9da931264

Observation 4860da0d-20b6-4f49-9b09-b82c2139c94b · outbound

This paper cites Gawrilow and M.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Gawrilow and M

Reference 90

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:00:33.864748Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T00:00:28.598978Z digest=sha256:cb34714766f519b5cad55c4f861cc34d307cb3aaddd3fec78774a4959e58dc09

Observation c9ea0e46-bd69-476f-b173-d27897689b4d · outbound

This paper cites Assarf, E.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Assarf, E

Reference 91

Resolution
verified fuzzy
raw_fallback, observed 2026-08-07T00:00:33.635205Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-19T06:32:44.657259+00:00.

source=pdf_text observed=2026-08-07T00:00:28.763893Z digest=sha256:bbbd331499ed5bed943be83bcb3826031a2df6b73683406cb50e7adb23867e02

Observation 682967bf-832b-4016-82a9-8a5c467a9aa0 · outbound

This paper cites Landau Singularities Revisited: Computational Algebraic Geometry for Feynman Integrals.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Landau Singularities Revisited: Computational Algebraic Geometry for Feynman Integrals

Reference 92

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:28.863161Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:28.863161Z digest=sha256:e00d4162ddc7021ac69a196d251b42683693fd585e53c301a66fa0e1e9c45c97

Observation 1848293f-b671-4c55-ac5b-5900f4bd3e23 · outbound

This paper cites Principal Landau Determinants.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Principal Landau Determinants

Reference 93

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:28.978705Z

Source-reported events for the cited work

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source=pdf_text observed=2026-08-07T00:00:28.978705Z digest=sha256:fd13d667ead3ad07b650b61813dc2e03e4fed44ab206002981aef35ef2e668ae

Observation 9a069c93-33c4-45f3-8c66-ffb13fc0e4a2 · outbound

This paper cites Landau Singularities from Whitney Stratifications.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Landau Singularities from Whitney Stratifications

Reference 94

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:29.095890Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:29.095890Z digest=sha256:915f9a238e09f3f5fcb87d7765364764a75a03886f2cefa94391fa7086244c05

Observation 7e58c3a8-9c25-47bf-a1e0-e8b5997bc99b · outbound

This paper cites Recursive Landau Analysis.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Recursive Landau Analysis

Reference 95

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:29.266909Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:29.266909Z digest=sha256:ef996b5fdeb959d9691bbc01a8147869554b72fdf603f614e294e0ed3b03949a

Observation e6b8b08a-572d-416a-9d34-e405528109e8 · outbound

This paper cites Correia, M.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Correia, M

Reference 96

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:29.404227Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:29.404227Z digest=sha256:fa486e68250366a8d9aadfa27aad4dbe4a1e2b28079634fceaafc82aa8899159

Observation 7e28341e-b81e-4d99-b8af-af591e7fe8ba · outbound

This paper cites Unveiling Regions in multi-scale Feynman Integrals using Singularities and Power Geometry.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Unveiling Regions in multi-scale Feynman Integrals using Singularities and Power Geometry

Reference 97

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:29.655528Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:29.655528Z digest=sha256:89e7555910eef0bdf4556e9b5eee89713a5274ce754e2d3737d3cbc92f6377c4

Observation b5b065fd-11ea-4007-8f36-36672ee36ed5 · outbound

This paper cites Arkani-Hamed, C.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Arkani-Hamed, C

Reference 98

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:29.747646Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:29.747646Z digest=sha256:800e0189e586521c001c2b74b9fe929a8ecc22f839804c603e69142a0a26ecd0

Observation 3506c6af-4764-49c5-84b1-c37a8e574a2b · outbound

This paper cites Removing infrared divergences from two-loop integrals.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Removing infrared divergences from two-loop integrals

Reference 99

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:29.872110Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:29.872110Z digest=sha256:db2104688e0ebfec0ac0bf032940f80cdf79f4cde78a14c7a29024a1b2863dc9

Observation acdbbd2e-8144-469a-8735-fd20dc271db6 · outbound

This paper cites Locally finite two-loop amplitudes for off-shell multi-photon production in electron-positron annihilation.

Soft Factorisation and Exponentiation from Schwinger-Space Geometry Locally finite two-loop amplitudes for off-shell multi-photon production in electron-positron annihilation

Reference 100

Resolution
unresolved
no resolver link, observed 2026-08-07T00:00:29.988503Z

Source-reported events for the cited work

Unavailable: canonical work link unavailable.

source=pdf_text observed=2026-08-07T00:00:29.988503Z digest=sha256:b122ae71dd4ad1b4a75a52be75c8d6f895ab65e192c608a775a6f00d36a2c47c

Pith citing papers

No inbound Pith citation observations are available.