Paper Citation Record · LEDGER

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

As of 18 August 2026, this Paper Citation Record lists 44 of 44 outbound references and 4 inbound Pith citation observations for arXiv:2412.21054.

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

pith.paper-citation-record.v1
2412.21054 v1

Coverage vector

measured 44 of 44 reference resolution

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Source: paper_references, paper_reference_links, observed 2026-08-10T23:10:07.081256Z

measured 48 of 48 standing notices

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Source: scholarly_work_events, retraction_status_cache, observed 2026-08-17T06:30:58.91139+00:00

measured 4 of 4 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-06T16:53:10.513658Z

measured 0 of 1 external citation measurements

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

Source: pith, observed 2026-07-10T06:56:52.392100Z

Reference resolution

44 of 44 outbound references displayed

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External citation measurements

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Outbound references

Observation 14aaa090-347b-4dc7-88ad-18efe89c89f6 · outbound

This paper cites an unresolved cited work.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ Unresolved cited work

Reference 1

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:10:07.832863Z

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Observation 22e1c585-a608-4b35-981e-b8b5e17e57e3 · outbound

This paper cites an unresolved cited work.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ Unresolved cited work

Reference 2

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:10:07.817417Z

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Observation eaeef478-7801-40f1-99c9-01811a378418 · outbound

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

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ High-precision calculation of multi-loop Feynman integrals by difference equations

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:06.870690Z

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Observation 17c5fcf2-e4bf-47a1-afea-d360e1597f10 · outbound

This paper cites Towards a Basis for Planar Two-Loop Integrals.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ Towards a Basis for Planar Two-Loop Integrals

Reference 4

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Observation 821da028-c24b-425f-bfca-cb839c51d226 · outbound

This paper cites A New Algorithm For The Generation Of Unitarity-Compatible Integration By Parts Relations.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ A New Algorithm For The Generation Of Unitarity-Compatible Integration By Parts Relations

Reference 5

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:06.881192Z

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Observation a6f531fa-6f2e-4623-a288-ff7a1ef28acf · outbound

This paper cites Reduze 2 - Distributed Feynman Integral Reduction.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ Reduze 2 - Distributed Feynman Integral Reduction

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:06.886304Z

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Observation b62ce7ec-94b8-49dc-aac9-27f8268bbaeb · outbound

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

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ LiteRed 1.4: a powerful tool for the reduction of the multiloop integrals

Reference 7

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:06.891707Z

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Observation c3bb0e4b-618e-4c76-acb2-713f3e38e68a · outbound

This paper cites A novel approach to integration by parts reduction.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ A novel approach to integration by parts reduction

Reference 8

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:06.898113Z

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Observation 8ba02d78-f98f-4805-a2cd-bbd349f0571b · outbound

This paper cites Integration-by-parts reductions from unitarity cuts and algebraic geometry.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ Integration-by-parts reductions from unitarity cuts and algebraic geometry

Reference 9

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:06.903450Z

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Observation 2814296e-0594-43da-b96f-85f4b9b83bc9 · outbound

This paper cites Scattering amplitudes over finite fields and multivariate functional reconstruction.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ Scattering amplitudes over finite fields and multivariate functional reconstruction

Reference 10

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:06.908688Z

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Observation dca08a42-4e0e-495b-bb4a-660913569bf2 · outbound

This paper cites Feynman Integrals and Intersection Theory.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ Feynman Integrals and Intersection Theory

Reference 11

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:06.913570Z

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Observation 6370b710-ba43-4c56-91e9-4e83ed4e069d · outbound

This paper cites Determine Arbitrary Feynman Integrals by Vacuum Integrals.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ Determine Arbitrary Feynman Integrals by Vacuum Integrals

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:06.918989Z

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Observation 1527122d-495e-4aff-91f4-3602670ad9ca · outbound

This paper cites Complete reduction of integrals in two-loop five-light-parton scattering amplitudes.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ Complete reduction of integrals in two-loop five-light-parton scattering amplitudes

Reference 13

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:06.924081Z

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Observation 13c9ca7c-cd55-4a4f-9696-a1c8b750ae26 · outbound

This paper cites Reconstructing Rational Functions with $\texttt{FireFly}$.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ Reconstructing Rational Functions with $\texttt{FireFly}$

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:06.929016Z

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Observation 5a846f60-3899-4ebe-90b2-d0f61c2d18ba · outbound

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

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs

Reference 15

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:06.933657Z

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Observation 2b9d4bf3-563b-4041-b648-2b9bad9d3c2f · outbound

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

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ Decomposition of Feynman Integrals on the Maximal Cut by Intersection Numbers

Reference 16

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:06.938103Z

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Observation d328d6d2-185d-4009-a173-816277c5c825 · outbound

This paper cites Direct reduction of multiloop multiscale scattering amplitudes.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ Direct reduction of multiloop multiscale scattering amplitudes

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:06.942593Z

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Observation b4e67cb4-f70b-4182-ab18-96312d9e9b44 · outbound

This paper cites FIRE6: Feynman Integral REduction with Modular Arithmetic.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 18

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:06.947566Z

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Observation b88f9d01-fa8d-4a14-b6ae-a2bee2a8ff99 · outbound

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

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ Integral Reduction with Kira 2.0 and Finite Field Methods

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:06.952649Z

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Observation e90047fb-b73d-456c-b89f-3c9143104205 · outbound

This paper cites IBP reduction coefficients made simple.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ IBP reduction coefficients made simple

Reference 20

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:06.957567Z

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Observation d1d1a493-4472-41db-ad84-33cba2efa531 · outbound

This paper cites MultivariateApart: Generalized Partial Fractions.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ MultivariateApart: Generalized Partial Fractions

Reference 21

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:06.963159Z

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Observation 1ded8778-b8db-4daa-84f2-1dd1f18f8f75 · outbound

This paper cites pfd-parallel, a Singular/GPI-Space package for massively parallel multivariate partial fractioning.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ pfd-parallel, a Singular/GPI-Space package for massively parallel multivariate partial fractioning

Reference 22

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:06.968205Z

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Observation af195777-9268-42df-b6b5-cad9b4c27ea2 · outbound

This paper cites ’t Hooft and M.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ ’t Hooft and M

Reference 23

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Observation 326ed4a6-7e53-4974-b3b7-86f5ccf23940 · outbound

This paper cites Passarino and M.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ Passarino and M

Reference 24

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:10:07.783962Z

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Observation cdca39b4-229a-410a-a2dd-ba9bfceaf904 · outbound

This paper cites Dimensionally Regulated Pentagon Integrals.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ Dimensionally Regulated Pentagon Integrals

Reference 25

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:06.984021Z

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Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ Unresolved cited work

Reference 26

Resolution: unresolved; raw_fallback, observed 2026-08-10T23:10:07.764500Z

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Observation 45a03b47-8916-4372-902a-798d673446f7 · outbound

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

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ Automatized One-Loop Calculations in 4 and D dimensions

Reference 27

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This paper cites Scalar one-loop integrals for QCD.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ Scalar one-loop integrals for QCD

Reference 28

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

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ OneLOop: for the evaluation of one-loop scalar functions

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:07.003248Z

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Observation 5958dfca-afbf-48f8-8c82-301559f1c176 · outbound

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

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ Collier: a fortran-based Complex One-Loop LIbrary in Extended Regularizations

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:07.007932Z

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

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ Golem95C: A library for one-loop integrals with complex masses

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:07.013334Z

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Observation 8588adc2-79e7-4229-b25b-164332687728 · outbound

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

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ Package-X: A Mathematica package for the analytic calculation of one-loop integrals

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:07.018596Z

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This paper cites One-loop QCD helicity amplitudes for $pp\to t\bar{t} j$ to $O(\epsilon^2)$.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ One-loop QCD helicity amplitudes for $pp\to t\bar{t} j$ to $O(\epsilon^2)$

Reference 33

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:07.024049Z

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

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ One-loop hexagon integral to higher orders in the dimensional regulator

Reference 34

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:07.029440Z

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Observation 2ed389a8-8637-458d-9e13-46ffc7dda045 · outbound

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

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ One loop QCD corrections to $gg \to t\overline{t}H$ at $\mathcal{O}(\epsilon^2)$

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:07.034505Z

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

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ A Systematic and Efficient Method to Compute Multi-loop Master Integrals

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:07.040243Z

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

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ Multiloop corrections for collider processes using auxiliary mass flow

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:07.046432Z

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

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ Determining Feynman integrals with only input from linear algebra

Reference 38

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This paper cites AMFlow: a Mathematica package for Feynman integrals computation via Auxiliary Mass Flow.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ AMFlow: a Mathematica package for Feynman integrals computation via Auxiliary Mass Flow

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-10T23:10:07.056881Z

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Observation 98445234-fb12-4e14-be79-9635cec55335 · outbound

This paper cites Huang, R.-J.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ Huang, R.-J

Reference 40

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:10:07.746918Z

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Observation c09181c2-dc1d-4fe1-9ce1-8a4cf20d53cf · outbound

This paper cites https://www.boost.org/doc/libs/1_76_0/libs/ multiprecision/doc/html/index.html.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ https://www.boost.org/doc/libs/1_76_0/libs/ multiprecision/doc/html/index.html

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:10:07.730125Z

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Observation a3719c8b-9bbb-4724-8912-080b7d3c32b6 · outbound

This paper cites https://gmplib.org/.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ https://gmplib.org/

Reference 42

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:10:07.711146Z

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Observation 20d7217c-1259-4dcc-9829-0f42f7727890 · outbound

This paper cites https://www.mpfr.org/.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ https://www.mpfr.org/

Reference 43

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:10:07.693345Z

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Observation b554a9f1-f124-4a6a-ba58-752890964fd0 · outbound

This paper cites https://www.multiprecision.org/.

Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$ https://www.multiprecision.org/

Reference 44

Resolution: verified fuzzy; raw_fallback, observed 2026-08-10T23:10:07.675223Z

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Pith citing papers

Observation 8b09e9d8-6a45-4266-bd81-c106280e0c73 · inbound

Fast evaluation of Feynman integrals for Monte Carlo generators cites this paper.

Fast evaluation of Feynman integrals for Monte Carlo generators Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-06T16:53:10.513658Z

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Observation 15c25b9c-4f20-418b-b5bb-94d8fa1cd812 · inbound

Tensor decomposition of $e^+e^-\to\pi^+\pi^-\gamma$ to higher orders in the dimensional regulator cites this paper.

Tensor decomposition of $e^+e^-\to\pi^+\pi^-\gamma$ to higher orders in the dimensional regulator Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$

Reference 49

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Observation aa9709cc-45b8-4d04-9d13-1bad069cad20 · inbound

AMFlow 2.0: significant algorithmic and software improvements for Feynman integral evaluation cites this paper.

AMFlow 2.0: significant algorithmic and software improvements for Feynman integral evaluation Efficient Computation of One-Loop Feynman Integrals and Fixed-Branch Integrals to High Orders in $\epsilon$

Reference 28

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Observation f2ec52a9-94ce-4952-a912-6ac9545c2bc2 · inbound

Recursive construction of scalar one-loop integrals in dimensional regularisation cites this paper.

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 $\epsilon$

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-01T21:08:06.011158Z

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