Recursive construction of scalar one-loop integrals in dimensional regularisation | Paper Citation Record

Observation d6715fa7-6afe-42aa-b218-46573f452f4a · outbound

This paper cites Collider Physics at the Precision Frontier.

Recursive construction of scalar one-loop integrals in dimensional regularisation Collider Physics at the Precision Frontier

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Observation cb525fc7-7cd4-4de9-baaa-9ca7d2a6e0ae · outbound

This paper cites The Path forward to N$^3$LO.

Recursive construction of scalar one-loop integrals in dimensional regularisation The Path forward to N$^3$LO

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Observation 307eea86-818b-4eca-aaf4-986de0394978 · outbound

This paper cites Multiloop integrals in dimensional regularization made simple.

Recursive construction of scalar one-loop integrals in dimensional regularisation Multiloop integrals in dimensional regularization made simple

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Observation ad0a838e-71c5-4e50-8a9e-c36931a1197b · outbound

This paper cites Mathematical aspects of scattering amplitudes.

Recursive construction of scalar one-loop integrals in dimensional regularisation Mathematical aspects of scattering amplitudes

Reference 4

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Observation 7161e575-e782-4a38-81d1-39d92da2b838 · outbound

This paper cites Hexagon functions and the three-loop remainder function.

Recursive construction of scalar one-loop integrals in dimensional regularisation Hexagon functions and the three-loop remainder function

Reference 5

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Observation 85c559d8-8695-4865-a7d4-b5dc17f81e1c · outbound

This paper cites Chetyrkin and F.V.

Recursive construction of scalar one-loop integrals in dimensional regularisation Chetyrkin and F.V

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Observation b73d4942-6e2b-4c05-96b4-71afcadc87ec · outbound

This paper cites High-precision calculation of multi-loop Feynman integrals by difference equations.

Recursive construction of scalar one-loop integrals in dimensional regularisation High-precision calculation of multi-loop Feynman integrals by difference equations

Reference 7

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Observation 6ff20920-8b34-4475-beb3-c7487d3e036c · outbound

This paper cites Classical Polylogarithms for Amplitudes and Wilson Loops.

Recursive construction of scalar one-loop integrals in dimensional regularisation Classical Polylogarithms for Amplitudes and Wilson Loops

Reference 8

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Observation 646500b8-0505-4ae9-bff7-0bc0a26ab062 · outbound

This paper cites Feynman Amplitudes and Cosmic Galois group.

Recursive construction of scalar one-loop integrals in dimensional regularisation Feynman Amplitudes and Cosmic Galois group

Reference 9

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Observation 22a82eec-d4cb-40ee-b1da-0162df933069 · outbound

This paper cites Graphical functions and single-valued multiple polylogarithms.

Recursive construction of scalar one-loop integrals in dimensional regularisation Graphical functions and single-valued multiple polylogarithms

Reference 10

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Observation 6e1baa5b-42ec-4ee8-9903-3740a2e98794 · outbound

This paper cites ’t Hooft and M.J.G.

Recursive construction of scalar one-loop integrals in dimensional regularisation ’t Hooft and M.J.G

Reference 11

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Observation 445a6d20-b0d6-4dcd-8eb7-898bba4c2104 · outbound

This paper cites Passarino and M.J.G.

Recursive construction of scalar one-loop integrals in dimensional regularisation Passarino and M.J.G

Reference 12

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Observation 9716c4e9-edbc-4bea-9afa-8dfd62b6293d · outbound

This paper cites A geometrical angle on Feynman integrals.

Recursive construction of scalar one-loop integrals in dimensional regularisation A geometrical angle on Feynman integrals

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Observation a977142c-aa57-4a85-bcd5-4dbd59a40b09 · outbound

This paper cites The geometry of one-loop amplitudes.

Recursive construction of scalar one-loop integrals in dimensional regularisation The geometry of one-loop amplitudes

Reference 14

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Observation 6a914273-6999-46da-ae67-62a53e7c6394 · outbound

This paper cites Amplitudes at Weak Coupling as Polytopes in AdS_5.

Recursive construction of scalar one-loop integrals in dimensional regularisation Amplitudes at Weak Coupling as Polytopes in AdS_5

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Observation d45dfaf6-9c78-45cf-ad0f-9fff4ef09874 · outbound

This paper cites Star Integrals, Convolutions and Simplices.

Recursive construction of scalar one-loop integrals in dimensional regularisation Star Integrals, Convolutions and Simplices

Reference 16

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Observation f150352a-685a-47b7-9759-7ed60482515f · outbound

This paper cites Multiple polylogarithms, cyclotomy and modular complexes.

Recursive construction of scalar one-loop integrals in dimensional regularisation Multiple polylogarithms, cyclotomy and modular complexes

Reference 17

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Observation 01b982da-7d2f-448b-b2be-90de52e62ff0 · outbound

This paper cites Volumes of hyperbolic manifolds and mixed Tate motives.

Recursive construction of scalar one-loop integrals in dimensional regularisation Volumes of hyperbolic manifolds and mixed Tate motives

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Observation 21462a7e-b9dd-4ec5-b088-01ae74830e93 · outbound

This paper cites On the Goncharov depth conjecture and a formula for volumes of orthoschemes.

Recursive construction of scalar one-loop integrals in dimensional regularisation On the Goncharov depth conjecture and a formula for volumes of orthoschemes

Reference 19

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Observation 03795cd5-3fe9-4117-8ac4-5e47a6a90939 · outbound

This paper cites One-loop Integrals from Volumes of Orthoschemes.

Recursive construction of scalar one-loop integrals in dimensional regularisation One-loop Integrals from Volumes of Orthoschemes

Reference 20

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Observation 034319fa-1967-4ee7-a99a-581130d0ea8c · outbound

This paper cites ’t Hooft and M.J.G.

Recursive construction of scalar one-loop integrals in dimensional regularisation ’t Hooft and M.J.G

Reference 21

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Observation d45c7015-5e62-47ee-9e73-bf8fb4765da5 · outbound

This paper cites Cicuta and E.

Recursive construction of scalar one-loop integrals in dimensional regularisation Cicuta and E

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Observation 0d147bc7-e2c5-4ce9-9b0d-347c51b8b759 · outbound

This paper cites Bollini and J.J.

Recursive construction of scalar one-loop integrals in dimensional regularisation Bollini and J.J

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Observation 7a63ae2d-924f-4acb-8661-e4ecfcca09af · outbound

This paper cites The one-loop pentagon to higher orders in epsilon.

Recursive construction of scalar one-loop integrals in dimensional regularisation The one-loop pentagon to higher orders in epsilon

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Observation 645aff06-5392-448e-b617-c9ed4451870e · outbound

This paper cites The one-loop six-dimensional hexagon integral and its relation to MHV amplitudes in N=4 SYM.

Recursive construction of scalar one-loop integrals in dimensional regularisation The one-loop six-dimensional hexagon integral and its relation to MHV amplitudes in N=4 SYM

Reference 25

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Observation faeca83e-5c24-4491-b5c3-74804a5a45b7 · outbound

This paper cites The massless hexagon integral in D = 6 dimensions.

Recursive construction of scalar one-loop integrals in dimensional regularisation The massless hexagon integral in D = 6 dimensions

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Observation f8cc3044-56e1-4d86-bb01-e5e7fd521290 · outbound

This paper cites The One-Loop One-Mass Hexagon Integral in D=6 Dimensions.

Recursive construction of scalar one-loop integrals in dimensional regularisation The One-Loop One-Mass Hexagon Integral in D=6 Dimensions

Reference 27

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Observation 9ab18f8c-e317-4caf-b673-a8ac367e779f · outbound

This paper cites The one-loop six-dimensional hexagon integral with three massive corners.

Recursive construction of scalar one-loop integrals in dimensional regularisation The one-loop six-dimensional hexagon integral with three massive corners

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Observation 8851c9c2-073f-4aef-8a86-7a7546af2630 · outbound

This paper cites Three-mass triangle integrals and single-valued polylogarithms.

Recursive construction of scalar one-loop integrals in dimensional regularisation Three-mass triangle integrals and single-valued polylogarithms

Reference 29

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Observation 427ceddf-b26d-4eb4-9b24-b0ac8be1922a · outbound

This paper cites One-loop pentagon integral in $d$ dimensions from differential equations in $\epsilon$-form.

Recursive construction of scalar one-loop integrals in dimensional regularisation One-loop pentagon integral in $d$ dimensions from differential equations in $\epsilon$-form

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Observation e34477cc-6a42-445b-a6c0-975db179a85e · outbound

This paper cites All-Mass $n$-gon Integrals in $n$ Dimensions.

Recursive construction of scalar one-loop integrals in dimensional regularisation All-Mass $n$-gon Integrals in $n$ Dimensions

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Observation ae8f682d-bdec-4f0f-b98d-55515b801292 · outbound

This paper cites The massless single off-shell scalar box integral -- branch cut structure and all-order epsilon expansion.

Recursive construction of scalar one-loop integrals in dimensional regularisation The massless single off-shell scalar box integral -- branch cut structure and all-order epsilon expansion

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Observation f4eea71f-dab1-4883-861e-d7142066ac78 · outbound

This paper cites The massless non-adjacent double off-shell scalar box integral -- branch cut structure and all-order epsilon expansion.

Recursive construction of scalar one-loop integrals in dimensional regularisation The massless non-adjacent double off-shell scalar box integral -- branch cut structure and all-order epsilon expansion

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Observation b57ed553-b170-4936-aebd-68429b6ce649 · outbound

This paper cites One loop QCD corrections to $gg \to t\overline{t}H$ at $\mathcal{O}(\epsilon^2)$.

Recursive construction of scalar one-loop integrals in dimensional regularisation One loop QCD corrections to $gg \to t\overline{t}H$ at $\mathcal{O}(\epsilon^2)$

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Observation 95629c13-ae5e-47bd-9f89-f3035e18b04b · outbound

This paper cites Becchetti, M.

Recursive construction of scalar one-loop integrals in dimensional regularisation Becchetti, M

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Observation 4ba7332b-8cb1-41aa-84de-16b020bf39d3 · outbound

This paper cites Duhr and P.

Recursive construction of scalar one-loop integrals in dimensional regularisation Duhr and P

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Observation 68bdabb4-29fd-406e-a0ef-fff8d19c865e · outbound

This paper cites The massless higher-loop two-point function.

Recursive construction of scalar one-loop integrals in dimensional regularisation The massless higher-loop two-point function

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Observation c62ae6a0-d8c0-477c-9d27-1bc6fd2315b8 · outbound

This paper cites Soft triple-real radiation for Higgs production at N3LO.

Recursive construction of scalar one-loop integrals in dimensional regularisation Soft triple-real radiation for Higgs production at N3LO

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Observation 17f7f382-86da-4602-a17a-07dbf31068d4 · outbound

This paper cites Calculating Massive 3-loop Graphs for Operator Matrix Elements by the Method of Hyperlogarithms.

Recursive construction of scalar one-loop integrals in dimensional regularisation Calculating Massive 3-loop Graphs for Operator Matrix Elements by the Method of Hyperlogarithms

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Observation b2f6b586-be9b-40e4-bd27-7e2f02b03b10 · outbound

This paper cites Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals.

Recursive construction of scalar one-loop integrals in dimensional regularisation Algorithms for the symbolic integration of hyperlogarithms with applications to Feynman integrals

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Observation 29911e0d-4e5e-455e-b9f3-93e139a1dddd · outbound

This paper cites Schnetz,HyperlogProcedures,Maple package, version 0.8(2025).

Recursive construction of scalar one-loop integrals in dimensional regularisation Schnetz,HyperlogProcedures,Maple package, version 0.8(2025)

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Observation acfdbceb-c4b6-4a45-b3e5-17c094ec7720 · outbound

This paper cites Kardos, S.-O.

Recursive construction of scalar one-loop integrals in dimensional regularisation Kardos, S.-O

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Observation 655ed6ee-13fb-4914-9da9-dbc7c4f55036 · outbound

This paper cites Rationalizing roots: an algorithmic approach.

Recursive construction of scalar one-loop integrals in dimensional regularisation Rationalizing roots: an algorithmic approach

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Observation 2841a0a0-915f-4fe9-8e39-118854f62236 · outbound

This paper cites RationalizeRoots: Software Package for the Rationalization of Square Roots.

Recursive construction of scalar one-loop integrals in dimensional regularisation RationalizeRoots: Software Package for the Rationalization of Square Roots

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Observation fc3dc1d9-e6f9-47c4-814c-7fc4bbcc17a6 · outbound

This paper cites Schl¨ afli,Theorie der vielfachen Kontinuit¨ at,Denkschr.

Recursive construction of scalar one-loop integrals in dimensional regularisation Schl¨ afli,Theorie der vielfachen Kontinuit¨ at,Denkschr

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Observation f5008fcb-d7b5-4047-92cf-fbbf97bc3ebe · outbound

This paper cites Form factors and scattering amplitudes in N=4 SYM in dimensional and massive regularizations.

Recursive construction of scalar one-loop integrals in dimensional regularisation Form factors and scattering amplitudes in N=4 SYM in dimensional and massive regularizations

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Observation 85c71df1-5cf3-49fa-b8fd-046970078e83 · outbound

This paper cites Massive Conformal Symmetry and Integrability for Feynman Integrals.

Recursive construction of scalar one-loop integrals in dimensional regularisation Massive Conformal Symmetry and Integrability for Feynman Integrals

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Observation 081fc138-81cf-4259-ba5f-a693771623a9 · outbound

This paper cites Yangian Bootstrap for Massive Feynman Integrals.

Recursive construction of scalar one-loop integrals in dimensional regularisation Yangian Bootstrap for Massive Feynman Integrals

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Observation ca710d2d-a7b3-4b3c-aeeb-dfcc71a0a11e · outbound

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Recursive construction of scalar one-loop integrals in dimensional regularisation Diagrammatic Hopf algebra of cut Feynman integrals: the one-loop case

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Recursive construction of scalar one-loop integrals in dimensional regularisation Tkachov,A theorem on analytical calculability of 4-loop renormalization group functions,Phys

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Observation dbf70851-2fe7-4281-8747-d435f0aebecf · outbound

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Recursive construction of scalar one-loop integrals in dimensional regularisation A new approach to the momentum expansion of multiloop Feynman diagrams

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Recursive construction of scalar one-loop integrals in dimensional regularisation Anastasiou,Two loop integrals and QCD scattering, Ph.D

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Recursive construction of scalar one-loop integrals in dimensional regularisation Space-time dimensionality D as complex variable: calculating loop integrals using dimensional recurrence relation and analytical properties with respect to D

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Recursive construction of scalar one-loop integrals in dimensional regularisation Melrose,Reduction of Feynman diagrams,Nuovo Cim.40(1965) 181

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This paper cites Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$.

Recursive construction of scalar one-loop integrals in dimensional regularisation Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$

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Recursive construction of scalar one-loop integrals in dimensional regularisation Lobatschewsky,G´ eom´ etrie imaginaire,J

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Recursive construction of scalar one-loop integrals in dimensional regularisation Coxeter,The Functions of Schl¨ afli and Lobatschefsky,Quart

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Recursive construction of scalar one-loop integrals in dimensional regularisation B¨ ohm,Zu Coxeters Integrationsmethode in gekr¨ ummten R¨ aumen,Math

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Recursive construction of scalar one-loop integrals in dimensional regularisation Wagner,A Volume Formula for Asymptotic Hyperbolic Tetrahedra with an Application to Quantum Field Theory,Indag

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Recursive construction of scalar one-loop integrals in dimensional regularisation Kellerhals,Volumes in Hyperbolic 5-Space,Math

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Observation 16959896-e9d8-42b0-aaa7-abd5d6ec4ec7 · outbound

This paper cites Cho and H.

Recursive construction of scalar one-loop integrals in dimensional regularisation Cho and H

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-01T21:08:06.441604Z

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Observation 53a405bc-b359-48da-bdff-7ea639ee28f5 · outbound

This paper cites Murakami and M.

Recursive construction of scalar one-loop integrals in dimensional regularisation Murakami and M

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-01T21:08:06.511952Z

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Observation bc9e32b5-668d-42ee-96bb-66378790b579 · outbound

This paper cites Kneser,Der Simplexinhalt in der nichteuklidischen Geometrie,Deutsche Mathematik1 (1936) 337.

Recursive construction of scalar one-loop integrals in dimensional regularisation Kneser,Der Simplexinhalt in der nichteuklidischen Geometrie,Deutsche Mathematik1 (1936) 337

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-01T21:08:06.589757Z

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Observation 4497a143-5d46-4299-b3b7-7ec02383b2e5 · outbound

This paper cites Kellerhals,On the Volume of Hyperbolic Polyhedra,Math.

Recursive construction of scalar one-loop integrals in dimensional regularisation Kellerhals,On the Volume of Hyperbolic Polyhedra,Math

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-01T21:08:06.654302Z

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Observation bac227f2-f05f-45ac-bc3f-b21e0181cd35 · outbound

This paper cites Kellerhals,On Schl¨ afli’s Reduction Formula,Math.

Recursive construction of scalar one-loop integrals in dimensional regularisation Kellerhals,On Schl¨ afli’s Reduction Formula,Math

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-01T21:08:06.731829Z

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Observation 03a0b152-a863-4004-9f85-5cfabcc37915 · outbound

This paper cites Analytic continuation of multiple polylogarithms.

Recursive construction of scalar one-loop integrals in dimensional regularisation Analytic continuation of multiple polylogarithms

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-01T21:08:06.821742Z

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Observation 88ffed2b-4e0f-4635-aae5-2000a3bbe1c0 · outbound

This paper cites A Geometric transition from hyperbolic to anti de Sitter geometry.

Recursive construction of scalar one-loop integrals in dimensional regularisation A Geometric transition from hyperbolic to anti de Sitter geometry

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-01T21:08:06.902813Z

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Observation a33f8b05-e76c-48bd-8b01-5308d5cca72e · outbound

This paper cites Hodgson,Degeneration and Regeneration of Geometric Structures on Three-Manifolds, Ph.D.

Recursive construction of scalar one-loop integrals in dimensional regularisation Hodgson,Degeneration and Regeneration of Geometric Structures on Three-Manifolds, Ph.D

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-01T21:08:06.997244Z

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Observation c482f0d6-0d65-44a0-afbe-8d01c6a72c72 · outbound

This paper cites Porti,Regenerating Hyperbolic and Spherical Cone Structures from Euclidean Ones, Topology37(1998) 365.

Recursive construction of scalar one-loop integrals in dimensional regularisation Porti,Regenerating Hyperbolic and Spherical Cone Structures from Euclidean Ones, Topology37(1998) 365

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-01T21:08:07.013511Z

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Observation a10a31df-bfe9-48fc-bca3-4baf07f558a7 · outbound

This paper cites Danciger,Geometric Transitions: From Hyperbolic to AdS Geometry, Ph.D.

Recursive construction of scalar one-loop integrals in dimensional regularisation Danciger,Geometric Transitions: From Hyperbolic to AdS Geometry, Ph.D

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-01T21:08:07.169744Z

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Observation 988eb69a-94e6-42e6-8eab-025b7f9e53cd · outbound

This paper cites Riolo and A.

Recursive construction of scalar one-loop integrals in dimensional regularisation Riolo and A

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-01T21:08:07.316535Z

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Observation ba0d9aba-ee3c-43ba-bb1a-e8ba9d6567cb · outbound

This paper cites One-loop hexagon integral to higher orders in the dimensional regulator.

Recursive construction of scalar one-loop integrals in dimensional regularisation One-loop hexagon integral to higher orders in the dimensional regulator

Reference 72

Resolution: unresolved; no resolver link, observed 2026-08-01T21:08:07.512898Z

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Observation 88d5d865-13e0-4688-944f-5763ecf7353a · outbound

This paper cites PolyLogTools - Polylogs for the masses.

Recursive construction of scalar one-loop integrals in dimensional regularisation PolyLogTools - Polylogs for the masses

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-01T21:08:07.668104Z

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Observation ad9393a8-7866-4a21-bee5-d2228e73bbcd · outbound

This paper cites A GPU compatible quasi-Monte Carlo integrator interfaced to pySecDec.

Recursive construction of scalar one-loop integrals in dimensional regularisation A GPU compatible quasi-Monte Carlo integrator interfaced to pySecDec

Reference 74

Resolution: unresolved; no resolver link, observed 2026-08-01T21:08:07.825007Z

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Observation ed94cd54-719e-406a-95c3-e2968474b7f0 · outbound

This paper cites Expansion by regions with pySecDec.

Recursive construction of scalar one-loop integrals in dimensional regularisation Expansion by regions with pySecDec

Reference 75

Resolution: unresolved; no resolver link, observed 2026-08-01T21:08:07.942416Z

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Observation 05498b07-1273-44fb-9c6f-ad51ea1de537 · outbound

This paper cites Numerical Scattering Amplitudes with pySecDec.

Recursive construction of scalar one-loop integrals in dimensional regularisation Numerical Scattering Amplitudes with pySecDec

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-01T21:08:08.108241Z

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Observation 32776142-51cf-466b-b4e7-766b013feaf7 · outbound

This paper cites One-Loop Integrals from Spherical Projections of Planes and Quadrics.

Recursive construction of scalar one-loop integrals in dimensional regularisation One-Loop Integrals from Spherical Projections of Planes and Quadrics

Reference 77

Resolution: unresolved; no resolver link, observed 2026-08-01T21:08:08.327951Z

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