Paper Citation Record · LEDGER

Tame multi-leg Feynman integrals beyond one loop

As of 19 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 3 inbound Pith citation observations for arXiv:2412.21053.

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

pith.paper-citation-record.v1
2412.21053 v1

Coverage vector

measured 61 of 61 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-10T23:12:14.410893Z

measured 64 of 64 standing notices

One-hop event checks from named stored sources.

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

measured 3 of 3 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-06-28T13:38:49.590922Z

measured 0 of 1 external citation measurements

A source-named dated measurement, never combined with another source.

Source: arxiv_reference, observed 2026-07-02T00:06:23.581423Z

Reference resolution

61 of 61 outbound references displayed

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External citation measurements

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Outbound references

Observation fb9b4d9d-61ae-4650-8704-23d0783b098d · outbound

This paper cites (13) to reduce all FBIs to corner FBI, defined by νi = 1 for all i, as well as to FBIs in subsectors, defined by νi ≤ 0 for some i.

Tame multi-leg Feynman integrals beyond one loop (13) to reduce all FBIs to corner FBI, defined by νi = 1 for all i, as well as to FBIs in subsectors, defined by νi ≤ 0 for some i

Reference 1

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:12:15.347999Z

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Observation 930226b9-a386-4cd1-87e6-fa6608385d76 · outbound

This paper cites (13) to reduce all FBIs to corner FBI.

Tame multi-leg Feynman integrals beyond one loop (13) to reduce all FBIs to corner FBI

Reference 2

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:12:15.330935Z

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Observation a0773dd7-d400-4896-aa1c-9db07450a66e · outbound

This paper cites (14) be- comes CI ∆−1 ⃗ ν = NX α=1 zαI ∆−1 ⃗ ν−⃗ eα , (17) which also always reduce the value of ν in this sec- tor, resulting no MI in this sector.

Tame multi-leg Feynman integrals beyond one loop (14) be- comes CI ∆−1 ⃗ ν = NX α=1 zαI ∆−1 ⃗ ν−⃗ eα , (17) which also always reduce the value of ν in this sec- tor, resulting no MI in this sector

Reference 3

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:12:15.314661Z

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Observation 9529e078-d49f-42d8-8d59-23de570c6a20 · outbound

This paper cites Suppose that |zβ| is the largest among these values, then Eq.

Tame multi-leg Feynman integrals beyond one loop Suppose that |zβ| is the largest among these values, then Eq

Reference 4

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:12:15.297290Z

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Observation 4aeba94d-3990-42f9-b01e-d1f65ba14f81 · outbound

This paper cites Standard Model Physics at the HL-LHC and HE-LHC.

Tame multi-leg Feynman integrals beyond one loop Standard Model Physics at the HL-LHC and HE-LHC

Reference 5

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Observation 7ee3b5c7-3f12-4809-a27d-0d3f070f4e67 · outbound

This paper cites Higgs Physics at the HL-LHC and HE-LHC.

Tame multi-leg Feynman integrals beyond one loop Higgs Physics at the HL-LHC and HE-LHC

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-10T23:12:14.130398Z

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Observation 24bf3b52-13f7-4c56-a1b4-a0a624d02a4f · outbound

This paper cites ’t Hooft and M.

Tame multi-leg Feynman integrals beyond one loop ’t Hooft and M

Reference 7

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Observation 303e0f85-0a32-4c0e-aff5-a931b60dfb8d · outbound

This paper cites Passarino and M.

Tame multi-leg Feynman integrals beyond one loop Passarino and M

Reference 8

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Observation dc377e28-fff0-41ba-a765-4e8e3aaa5556 · outbound

This paper cites Dimensionally Regulated Pentagon Integrals.

Tame multi-leg Feynman integrals beyond one loop Dimensionally Regulated Pentagon Integrals

Reference 9

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Observation 16af55b6-9f21-4304-92e1-8699386fbfb9 · outbound

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Tame multi-leg Feynman integrals beyond one loop Unresolved cited work

Reference 10

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Observation 151d3074-82cf-40a2-8deb-f36d804b86f9 · outbound

This paper cites Automatized One-Loop Calculations in 4 and D dimensions.

Tame multi-leg Feynman integrals beyond one loop Automatized One-Loop Calculations in 4 and D dimensions

Reference 11

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Observation a65c2892-1d5b-466f-935c-3d40bcc3d4b2 · outbound

This paper cites Scalar one-loop integrals for QCD.

Tame multi-leg Feynman integrals beyond one loop Scalar one-loop integrals for QCD

Reference 12

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Observation 844de629-73e0-4a0f-8820-4512b857444f · outbound

This paper cites OneLOop: for the evaluation of one-loop scalar functions.

Tame multi-leg Feynman integrals beyond one loop OneLOop: for the evaluation of one-loop scalar functions

Reference 13

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Observation 60feb99a-602e-41d9-a9c3-518ab4483a7b · outbound

This paper cites Collier: a fortran-based Complex One-Loop LIbrary in Extended Regularizations.

Tame multi-leg Feynman integrals beyond one loop Collier: a fortran-based Complex One-Loop LIbrary in Extended Regularizations

Reference 14

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Observation 5872af07-f91a-432c-80d5-a7e801e5f0d7 · outbound

This paper cites Golem95C: A library for one-loop integrals with complex masses.

Tame multi-leg Feynman integrals beyond one loop Golem95C: A library for one-loop integrals with complex masses

Reference 15

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Observation a0018aa8-525e-49b6-b658-963ac9f90cb0 · outbound

This paper cites Package-X: A Mathematica package for the analytic calculation of one-loop integrals.

Tame multi-leg Feynman integrals beyond one loop Package-X: A Mathematica package for the analytic calculation of one-loop integrals

Reference 16

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Observation e81b85f0-96b9-4e7c-ba9b-777f356bd804 · outbound

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Tame multi-leg Feynman integrals beyond one loop Unresolved cited work

Reference 17

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Observation fea1e257-a67d-40b1-90a0-22d41336ddce · outbound

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Tame multi-leg Feynman integrals beyond one loop Unresolved cited work

Reference 18

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Observation 3f42b246-2aa5-4eb0-acc3-0bd6d5a928aa · outbound

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

Tame multi-leg Feynman integrals beyond one loop High-precision calculation of multi-loop Feynman integrals by difference equations

Reference 19

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Observation 3e26f54b-f211-471c-b472-d3e224edf9e2 · outbound

This paper cites Automatic Integral Reduction for Higher Order Perturbative Calculations.

Tame multi-leg Feynman integrals beyond one loop Automatic Integral Reduction for Higher Order Perturbative Calculations

Reference 20

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Observation 4734ed95-232a-4af0-aed3-c1ce457c0928 · outbound

This paper cites Algorithm FIRE -- Feynman Integral REduction.

Tame multi-leg Feynman integrals beyond one loop Algorithm FIRE -- Feynman Integral REduction

Reference 21

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Observation 8b049e83-bb53-4b42-9655-486930f070c8 · outbound

This paper cites FIRE 6.5: Feynman Integral Reduction with New Simplification Library.

Tame multi-leg Feynman integrals beyond one loop FIRE 6.5: Feynman Integral Reduction with New Simplification Library

Reference 22

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Observation b0ea1e3a-aef7-4c6a-93de-bde27811009d · outbound

This paper cites Reduze - Feynman Integral Reduction in C++.

Tame multi-leg Feynman integrals beyond one loop Reduze - Feynman Integral Reduction in C++

Reference 23

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Observation bf320635-382e-491b-8714-556e65e069ed · outbound

This paper cites LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals.

Tame multi-leg Feynman integrals beyond one loop LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals

Reference 24

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This paper cites Kira - A Feynman Integral Reduction Program.

Tame multi-leg Feynman integrals beyond one loop Kira - A Feynman Integral Reduction Program

Reference 25

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This paper cites FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs.

Tame multi-leg Feynman integrals beyond one loop FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs

Reference 26

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This paper cites Integral Reduction with Kira 2.0 and Finite Field Methods.

Tame multi-leg Feynman integrals beyond one loop Integral Reduction with Kira 2.0 and Finite Field Methods

Reference 27

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This paper cites NeatIBP 1.0, A package generating small-size integration-by-parts relations for Feynman integrals.

Tame multi-leg Feynman integrals beyond one loop NeatIBP 1.0, A package generating small-size integration-by-parts relations for Feynman integrals

Reference 28

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Observation cff5aca2-3ce4-4f65-86b2-27d1d250a627 · outbound

This paper cites Blade: A package for block-triangular form improved Feynman integrals decomposition.

Tame multi-leg Feynman integrals beyond one loop Blade: A package for block-triangular form improved Feynman integrals decomposition

Reference 29

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Observation d4a3390f-f985-4e24-92dc-a13845378854 · outbound

This paper cites An automatized algorithm to compute infrared divergent multi-loop integrals.

Tame multi-leg Feynman integrals beyond one loop An automatized algorithm to compute infrared divergent multi-loop integrals

Reference 30

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This paper cites Sector Decomposition.

Tame multi-leg Feynman integrals beyond one loop Sector Decomposition

Reference 31

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Observation a850ab7c-c17b-4293-8d86-7726c646161f · outbound

This paper cites Analytical Result for Dimensionally Regularized Massless On-shell Double Box.

Tame multi-leg Feynman integrals beyond one loop Analytical Result for Dimensionally Regularized Massless On-shell Double Box

Reference 32

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Tame multi-leg Feynman integrals beyond one loop Unresolved cited work

Reference 33

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Observation 3d386b15-ee95-4d7a-b6a3-b3a0e4d0de0c · outbound

This paper cites Dimensionally Regulated One-Loop Integrals.

Tame multi-leg Feynman integrals beyond one loop Dimensionally Regulated One-Loop Integrals

Reference 34

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This paper cites Differential Equations for Feynman Graph Amplitudes.

Tame multi-leg Feynman integrals beyond one loop Differential Equations for Feynman Graph Amplitudes

Reference 35

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This paper cites Differential Equations for Two-Loop Four-Point Functions.

Tame multi-leg Feynman integrals beyond one loop Differential Equations for Two-Loop Four-Point Functions

Reference 36

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Tame multi-leg Feynman integrals beyond one loop Multiloop integrals in dimensional regularization made simple

Reference 37

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Tame multi-leg Feynman integrals beyond one loop Reducing differential equations for multiloop master integrals

Reference 38

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This paper cites Simplifying differential equations for multi-scale Feynman integrals beyond multiple polylogarithms.

Tame multi-leg Feynman integrals beyond one loop Simplifying differential equations for multi-scale Feynman integrals beyond multiple polylogarithms

Reference 39

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This paper cites A Systematic and Efficient Method to Compute Multi-loop Master Integrals.

Tame multi-leg Feynman integrals beyond one loop A Systematic and Efficient Method to Compute Multi-loop Master Integrals

Reference 40

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This paper cites Explicit solutions of the multi-loop integral recurrence relations and its application.

Tame multi-leg Feynman integrals beyond one loop Explicit solutions of the multi-loop integral recurrence relations and its application

Reference 41

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This paper cites A practical criterion of irreducibility of multi--loop Feynman integrals.

Tame multi-leg Feynman integrals beyond one loop A practical criterion of irreducibility of multi--loop Feynman integrals

Reference 42

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This paper cites Determine Arbitrary Feynman Integrals by Vacuum Integrals.

Tame multi-leg Feynman integrals beyond one loop Determine Arbitrary Feynman Integrals by Vacuum Integrals

Reference 43

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Tame multi-leg Feynman integrals beyond one loop Reduction method for dimensionally regulated one-loop N-point Feynman integrals

Reference 44

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This paper cites Huang, D.-S.

Tame multi-leg Feynman integrals beyond one loop Huang, D.-S

Reference 45

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Observation 6e7a94a8-25cc-44fd-be75-9e9d0b6d051d · outbound

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Tame multi-leg Feynman integrals beyond one loop AMFlow: a Mathematica package for Feynman integrals computation via Auxiliary Mass Flow

Reference 46

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Tame multi-leg Feynman integrals beyond one loop Scattering Amplitudes from Intersection Theory

Reference 47

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Tame multi-leg Feynman integrals beyond one loop Feynman Integrals and Intersection Theory

Reference 48

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This paper cites Decomposition of Feynman Integrals on the Maximal Cut by Intersection Numbers.

Tame multi-leg Feynman integrals beyond one loop Decomposition of Feynman Integrals on the Maximal Cut by Intersection Numbers

Reference 49

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Tame multi-leg Feynman integrals beyond one loop Vector Space of Feynman Integrals and Multivariate Intersection Numbers

Reference 50

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This paper cites From Infinity to Four Dimensions: Higher Residue Pairings and Feynman Integrals.

Tame multi-leg Feynman integrals beyond one loop From Infinity to Four Dimensions: Higher Residue Pairings and Feynman Integrals

Reference 51

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This paper cites Status of Intersection Theory and Feynman Integrals.

Tame multi-leg Feynman integrals beyond one loop Status of Intersection Theory and Feynman Integrals

Reference 52

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Observation 197f4891-816a-4b0e-8556-e0c8175d185b · outbound

This paper cites Decomposition of Feynman Integrals by Multivariate Intersection Numbers.

Tame multi-leg Feynman integrals beyond one loop Decomposition of Feynman Integrals by Multivariate Intersection Numbers

Reference 53

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This paper cites Duals of Feynman Integrals, I: Differential Equations.

Tame multi-leg Feynman integrals beyond one loop Duals of Feynman Integrals, I: Differential Equations

Reference 54

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Observation 7431b424-27ca-4464-b718-615b541a9ef8 · outbound

This paper cites Duals of Feynman Integrals, 2: Generalized Unitarity.

Tame multi-leg Feynman integrals beyond one loop Duals of Feynman Integrals, 2: Generalized Unitarity

Reference 55

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Observation 6b9e6a52-e8aa-4823-a27a-62eaa4961784 · outbound

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Tame multi-leg Feynman integrals beyond one loop Macaulay Matrix for Feynman Integrals: Linear Relations and Intersection Numbers

Reference 56

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Observation 2b3d5062-0efc-4168-995e-a82e5b49a630 · outbound

This paper cites Reduction to master integrals via intersection numbers and polynomial expansions.

Tame multi-leg Feynman integrals beyond one loop Reduction to master integrals via intersection numbers and polynomial expansions

Reference 57

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Observation e08c2694-5947-4809-818a-55e917071261 · outbound

This paper cites Intersection Numbers, Polynomial Division and Relative Cohomology.

Tame multi-leg Feynman integrals beyond one loop Intersection Numbers, Polynomial Division and Relative Cohomology

Reference 58

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Observation 7a052984-8704-450a-855f-fc8404b39459 · outbound

This paper cites Intersection theory, relative cohomology and the Feynman parametrization.

Tame multi-leg Feynman integrals beyond one loop Intersection theory, relative cohomology and the Feynman parametrization

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-10T23:12:14.399683Z

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Observation 308971fe-85d9-4379-bc30-650c25a89d75 · outbound

This paper cites Multiloop corrections for collider processes using auxiliary mass flow.

Tame multi-leg Feynman integrals beyond one loop Multiloop corrections for collider processes using auxiliary mass flow

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-10T23:12:14.405357Z

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Observation f6f318f7-a0c1-48b7-9487-6c8df94422e4 · outbound

This paper cites Determining Feynman integrals with only input from linear algebra.

Tame multi-leg Feynman integrals beyond one loop Determining Feynman integrals with only input from linear algebra

Reference 61

Resolution: unresolved; no resolver link, observed 2026-08-10T23:12:14.410893Z

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Pith citing papers

Observation a9de0af5-a9d5-41d2-bd7f-15eabefd4a3e · inbound

Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist cites this paper.

Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist Tame multi-leg Feynman integrals beyond one loop

Reference 125

Resolution: verified exact; arxiv_id, observed 2026-05-22T20:25:05.793439Z

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

Observation a2f410bf-5657-4957-9190-3e60ffe06adc · inbound

Feynman integral reduction with intersection theory made simple cites this paper.

Feynman integral reduction with intersection theory made simple Tame multi-leg Feynman integrals beyond one loop

Reference 34

Resolution: verified exact; arxiv_id, observed 2026-05-10T23:05:49.621230Z

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

Observation db4ac17e-5562-4203-9b50-72ab52e87e8c · inbound

On the spanning cuts consistency problem in the IBP reductions of Feynman integrals cites this paper.

On the spanning cuts consistency problem in the IBP reductions of Feynman integrals Tame multi-leg Feynman integrals beyond one loop

Reference 62

Resolution: verified exact; arxiv_id, observed 2026-07-02T00:06:23.583777Z

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.