Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function | Paper Citation Record

Observation f5780d00-f525-4a0c-ba19-958432c1ed59 · outbound

This paper cites An Explicit Expression of Generating Function for One-Loop Tensor Reduction.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function An Explicit Expression of Generating Function for One-Loop Tensor Reduction

Reference 1

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Observation 9b04ed74-6bcb-4c0c-a2e7-7d96d5ada7fc · outbound

This paper cites Reducing full one-loop amplitudes to scalar integrals at the integrand level.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Reducing full one-loop amplitudes to scalar integrals at the integrand level

Reference 2

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Observation e470a67e-4a80-4f34-9961-9e6b7664d424 · outbound

This paper cites On the Integrand-Reduction Method for Two-Loop Scattering Amplitudes.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function On the Integrand-Reduction Method for Two-Loop Scattering Amplitudes

Reference 3

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Observation 5217f3b2-5cff-4851-a684-61062fe3106d · outbound

This paper cites Hepta-Cuts of Two-Loop Scattering Amplitudes.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Hepta-Cuts of Two-Loop Scattering Amplitudes

Reference 4

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Observation 1ecb6871-2b1a-4b5a-be84-70d0db6e7790 · outbound

This paper cites Integrand-Level Reduction of Loop Amplitudes by Computational Algebraic Geometry Methods.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Integrand-Level Reduction of Loop Amplitudes by Computational Algebraic Geometry Methods

Reference 5

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Observation ab756c9e-1b51-4042-8248-d44f9f7aaf55 · outbound

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

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Integration-by-parts reductions from unitarity cuts and algebraic geometry

Reference 6

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.370100Z

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Observation 3fb00f9c-da25-4187-916b-4f51bd5f147e · outbound

This paper cites Lecture Notes on Multi-loop Integral Reduction and Applied Algebraic Geometry.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Lecture Notes on Multi-loop Integral Reduction and Applied Algebraic Geometry

Reference 7

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Observation e06f8b75-fc7a-4e77-9cba-39f7956c92a1 · outbound

This paper cites Passarino and M.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Passarino and M

Reference 8

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Observation 72c67c31-8bfe-48b6-9864-d46a909bae9a · outbound

This paper cites an unresolved cited work.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Unresolved cited work

Reference 9

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Observation a2abfdfc-39c4-4062-bd43-adabdb9bdea4 · outbound

This paper cites an unresolved cited work.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Unresolved cited work

Reference 10

Resolution: unresolved; raw_fallback, observed 2026-08-10T18:40:28.917213Z

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Observation c33748e7-ae4c-42f4-832f-f563b3c5cb1e · outbound

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

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function High-precision calculation of multi-loop Feynman integrals by difference equations

Reference 11

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Observation c2e89b5b-1fa3-4cb5-8f71-5848799a6b9c · outbound

This paper cites Reduze 2 - Distributed Feynman Integral Reduction.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Reduze 2 - Distributed Feynman Integral Reduction

Reference 12

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.398935Z

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Observation ed7cbc29-cf57-43e6-9af7-327ffb302319 · outbound

This paper cites Kira - A Feynman Integral Reduction Program.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Kira - A Feynman Integral Reduction Program

Reference 13

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Observation 9692af63-5b96-4016-b7b1-da563824dc7b · outbound

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

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function FIRE6: Feynman Integral REduction with Modular Arithmetic

Reference 14

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.408448Z

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Observation 5dd621d8-5821-4e9b-bcad-9c1fab8a9163 · outbound

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

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function A novel approach to integration by parts reduction

Reference 15

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Observation 292f07b6-401e-40ac-9dcf-7b7f42be12e3 · outbound

This paper cites Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Fusing Gauge Theory Tree Amplitudes Into Loop Amplitudes

Reference 16

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Observation ead1cb71-1212-4922-bdb1-b884e3df1138 · outbound

This paper cites One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function One-Loop n-Point Gauge Theory Amplitudes, Unitarity and Collinear Limits

Reference 17

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.421736Z

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Observation a9f283d6-2768-49cd-85c8-cf4cc14e8887 · outbound

This paper cites Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Generalized Unitarity and One-Loop Amplitudes in N=4 Super-Yang-Mills

Reference 18

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Observation 049138be-e29b-4297-a0a7-aff99913350b · outbound

This paper cites One-Loop Amplitudes Of Gluons In SQCD.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function One-Loop Amplitudes Of Gluons In SQCD

Reference 19

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.431994Z

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Observation 86a5c326-83d4-4c57-9f3b-8307b4c8be74 · outbound

This paper cites The Cut-Constructible Part of QCD Amplitudes.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function The Cut-Constructible Part of QCD Amplitudes

Reference 20

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Observation 7022fde1-d43d-46a8-995d-539e42c59f6b · outbound

This paper cites Unitarity cuts and reduction to master integrals in d dimensions for one-loop amplitudes.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Unitarity cuts and reduction to master integrals in d dimensions for one-loop amplitudes

Reference 21

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Observation 7189d41c-57ec-4a9f-af75-f4eb528ce342 · outbound

This paper cites D-dimensional unitarity cut method.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function D-dimensional unitarity cut method

Reference 22

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Observation 9c26939a-d554-4018-a0ed-5742f297ab9f · outbound

This paper cites Unitarity Cuts with Massive Propagators and Algebraic Expressions for Coefficients.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Unitarity Cuts with Massive Propagators and Algebraic Expressions for Coefficients

Reference 23

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Observation 198a638d-a97e-434c-936f-5eb155da5533 · outbound

This paper cites Integral Coefficients for One-Loop Amplitudes.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Integral Coefficients for One-Loop Amplitudes

Reference 24

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.455997Z

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Observation 5bc3bdf0-79fb-4c42-9463-b6b646a0fa82 · outbound

This paper cites Single Cut Integration.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Single Cut Integration

Reference 25

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Observation 0021250f-622b-4ad0-9bc1-4d2cdd6bd6b7 · outbound

This paper cites Full one-loop amplitudes from tree amplitudes.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Full one-loop amplitudes from tree amplitudes

Reference 26

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.464931Z

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Observation 34af0d85-37be-4232-99f8-2443db13cd67 · outbound

This paper cites Feynman Integrals and Intersection Theory.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Feynman Integrals and Intersection Theory

Reference 27

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.469541Z

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Observation 8a9b0017-b45a-4e89-932a-f6c99dc8c507 · outbound

This paper cites Vector Space of Feynman Integrals and Multivariate Intersection Numbers.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Vector Space of Feynman Integrals and Multivariate Intersection Numbers

Reference 28

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.474403Z

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Observation 17c879cb-dc24-4814-bf46-a96121e59e61 · outbound

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

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function From Infinity to Four Dimensions: Higher Residue Pairings and Feynman Integrals

Reference 29

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.480465Z

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Observation 16cff37a-92bd-4b5d-90a2-bcdad5d9cdb3 · outbound

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

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Decomposition of Feynman Integrals by Multivariate Intersection Numbers

Reference 30

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.485881Z

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Observation c2347021-b0d8-49d9-ba09-8a09c83117d0 · outbound

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

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Duals of Feynman Integrals, 2: Generalized Unitarity

Reference 31

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.490605Z

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Observation bf423bc8-15b9-4e5b-9214-22422ea9155c · outbound

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

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Duals of Feynman Integrals, I: Differential Equations

Reference 32

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.494793Z

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Observation 1e32334f-64aa-4100-a78e-fea044710e15 · outbound

This paper cites CutTools: a program implementing the OPP reduction method to compute one-loop amplitudes.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function CutTools: a program implementing the OPP reduction method to compute one-loop amplitudes

Reference 33

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Observation 90ab8306-0c52-4c11-a542-f5538584b4c2 · outbound

This paper cites Kira 1.2 Release Notes.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Kira 1.2 Release Notes

Reference 34

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Observation 6799542f-0f94-44f2-8b29-1865722b0db8 · outbound

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

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Integral Reduction with Kira 2.0 and Finite Field Methods

Reference 35

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.508403Z

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Observation cc06234d-5d90-48c5-bfe4-bed3c5e51689 · outbound

This paper cites Algorithm FIRE -- Feynman Integral REduction.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Algorithm FIRE -- Feynman Integral REduction

Reference 36

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.512287Z

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Observation 78858e15-7437-4337-b181-ec13c4b44bb9 · outbound

This paper cites FIRE4, LiteRed and accompanying tools to solve integration by parts relations.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function FIRE4, LiteRed and accompanying tools to solve integration by parts relations

Reference 37

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.516290Z

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Observation bc81c9e5-4762-45e1-8310-8129607ac3e4 · outbound

This paper cites FIRE5: a C++ implementation of Feynman Integral REduction.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function FIRE5: a C++ implementation of Feynman Integral REduction

Reference 38

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.520700Z

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Observation f820580a-770a-468f-84ca-434f93499624 · outbound

This paper cites Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA).

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Feynman Integral Evaluation by a Sector decomposiTion Approach (FIESTA)

Reference 39

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.525342Z

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Observation 90b29060-2eda-43ab-911e-ce11eca29f90 · outbound

This paper cites FIESTA 2: parallelizeable multiloop numerical calculations.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function FIESTA 2: parallelizeable multiloop numerical calculations

Reference 40

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.529622Z

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Observation c3967c70-9ab2-4b55-b692-3adb40b621ae · outbound

This paper cites FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function FIESTA 3: cluster-parallelizable multiloop numerical calculations in physical regions

Reference 41

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.534238Z

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Observation 7a0986cf-a44c-4b52-9030-1f6cc5a844b2 · outbound

This paper cites FIESTA 4: optimized Feynman integral calculations with GPU support.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function FIESTA 4: optimized Feynman integral calculations with GPU support

Reference 42

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.538838Z

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Observation 81323a8f-b1fa-4c08-9946-8e18beac275c · outbound

This paper cites FIESTA5: numerical high-performance Feynman integral evaluation.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function FIESTA5: numerical high-performance Feynman integral evaluation

Reference 43

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.543507Z

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Observation 75b91077-fab6-41b8-9fc3-a9292ae4227d · outbound

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

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Reconstructing Rational Functions with $\texttt{FireFly}$

Reference 44

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.547814Z

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Observation 5598a651-e4a8-4465-9390-d7a6ba3ab34f · outbound

This paper cites Interpolation of Dense and Sparse Rational Functions and other Improvements in $\texttt{FireFly}$.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Interpolation of Dense and Sparse Rational Functions and other Improvements in $\texttt{FireFly}$

Reference 45

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.552040Z

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Observation 27821a1e-6102-4d66-962e-43fefbc25afd · outbound

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

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Reduze - Feynman Integral Reduction in C++

Reference 46

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.556732Z

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Observation 78596372-2799-47ba-ae2b-ccdf6cd48260 · outbound

This paper cites Presenting LiteRed: a tool for the Loop InTEgrals REDuction.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Presenting LiteRed: a tool for the Loop InTEgrals REDuction

Reference 47

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.561732Z

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Observation a14e1aea-691c-4155-9a3a-65e0d6c7cce0 · outbound

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

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function NeatIBP 1.0, A package generating small-size integration-by-parts relations for Feynman integrals

Reference 48

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.566575Z

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Observation 54acf38f-e91a-436a-989a-1c56c0ec2b5d · outbound

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

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Complete reduction of integrals in two-loop five-light-parton scattering amplitudes

Reference 49

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.571009Z

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Observation c8721347-0cf8-4a07-818e-a1449f6232cd · outbound

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

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Blade: A package for block-triangular form improved Feynman integrals decomposition

Reference 50

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.575076Z

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Observation 69cc74e3-4a78-4ee8-b67d-992ea8c0e8e0 · outbound

This paper cites Tensor Reduction for Feynman Integrals with Lorentz and Spinor Indices.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Tensor Reduction for Feynman Integrals with Lorentz and Spinor Indices

Reference 51

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.580230Z

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Observation 3d94818c-bbc4-44c9-9f86-80db93007222 · outbound

This paper cites OPITeR: A program for tensor reduction of multi-loop Feynman Integrals.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function OPITeR: A program for tensor reduction of multi-loop Feynman Integrals

Reference 52

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.584501Z

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Observation 7723ae65-4737-4407-a4fd-9fcb30542af6 · outbound

This paper cites Semi-automatic Calculations of Multi-loop Feynman Amplitudes with AmpRed.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Semi-automatic Calculations of Multi-loop Feynman Amplitudes with AmpRed

Reference 53

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.589182Z

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Observation a81dbbe0-ad0d-4aa6-97c8-e06f7960a593 · outbound

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

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function FiniteFlow: multivariate functional reconstruction using finite fields and dataflow graphs

Reference 54

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.593147Z

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Observation 494f0dcd-3968-42fe-8ff1-c46197e9ead2 · outbound

This paper cites Balancing act: multivariate rational reconstruction for IBP.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Balancing act: multivariate rational reconstruction for IBP

Reference 55

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.598561Z

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Observation d4693634-2be1-4e9c-b4f3-0f79923e13ca · outbound

This paper cites How to choose master integrals.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function How to choose master integrals

Reference 56

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.602632Z

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Observation 0c3b32fd-22ae-4f25-8f0d-bf933af5b990 · outbound

This paper cites Factorization of denominators in integration-by-parts reductions.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Factorization of denominators in integration-by-parts reductions

Reference 57

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.606676Z

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Observation 4e56e89a-e91c-49ed-bcbb-48a74b57b48a · outbound

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

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Automatic Integral Reduction for Higher Order Perturbative Calculations

Reference 58

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.610620Z

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Observation 1e3763af-d188-4024-a544-8902d234340d · outbound

This paper cites Analytic Form of the Planar Two-Loop Five-Gluon Scattering Amplitudes in QCD.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Analytic Form of the Planar Two-Loop Five-Gluon Scattering Amplitudes in QCD

Reference 59

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.614618Z

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Observation 430d5dcf-ad0a-4c58-b170-184d54c97ee7 · outbound

This paper cites Scalar one-loop integrals for QCD.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Scalar one-loop integrals for QCD

Reference 60

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.618992Z

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Observation fc6fd110-0355-4dca-9a93-57064c0c8ce9 · outbound

This paper cites QCDLoop: a comprehensive framework for one-loop scalar integrals.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function QCDLoop: a comprehensive framework for one-loop scalar integrals

Reference 61

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:40:28.174000Z

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No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 57491be1-8ae4-4464-abe1-d6b8593eb7ec · outbound

This paper cites Reduction of one-loop tensor 5-point integrals.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Reduction of one-loop tensor 5-point integrals

Reference 62

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.628672Z

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Observation bbe37e34-1012-4525-b01d-225fae254c04 · outbound

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

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Collier: a fortran-based Complex One-Loop LIbrary in Extended Regularizations

Reference 63

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.768847Z

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Observation ff236a57-2b3c-432c-a43e-89a698cc8b84 · outbound

This paper cites Adaptive Integrand Decomposition in parallel and orthogonal space.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Adaptive Integrand Decomposition in parallel and orthogonal space

Reference 64

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.774658Z

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Observation b491a604-2b71-42d0-8a7f-6a3ec3083f60 · outbound

This paper cites Analytic Tadpole Coefficients of One-loop Integrals.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Analytic Tadpole Coefficients of One-loop Integrals

Reference 65

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.779418Z

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Observation d99e4843-8b7d-4571-b7a5-3114ffbec396 · outbound

This paper cites One-loop Feynman Integral Reduction by Differential Operators.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function One-loop Feynman Integral Reduction by Differential Operators

Reference 66

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.783871Z

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Observation c664c609-f0cb-4ed9-b434-baf5897211a5 · outbound

This paper cites Reduction of General One-loop Integrals Using Auxiliary Vector.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Reduction of General One-loop Integrals Using Auxiliary Vector

Reference 67

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.788452Z

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Observation c416d348-745a-4bf5-ab0d-a4b4e60cef0a · outbound

This paper cites PV-Reduction of Sunset Topology with Auxiliary Vector.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function PV-Reduction of Sunset Topology with Auxiliary Vector

Reference 68

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.793472Z

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Observation 81b309cd-2f83-42fa-b407-bed7c46ec2f7 · outbound

This paper cites Universal Treatment of Reduction for One-Loop Integrals in Projective Space.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Universal Treatment of Reduction for One-Loop Integrals in Projective Space

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.797862Z

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Observation b47c0033-8d4e-4950-9dc9-91c6352b759e · outbound

This paper cites Reduction with Degenerate Gram matrix for One-loop Integrals.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Reduction with Degenerate Gram matrix for One-loop Integrals

Reference 70

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.802279Z

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Observation 7c87969f-d1a1-41fb-8746-9620fcbe8166 · outbound

This paper cites Nontrivial One-loop Recursive Reduction Relation.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Nontrivial One-loop Recursive Reduction Relation

Reference 71

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.806724Z

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Observation dc78125b-289c-405b-a8ca-b5380eb8c048 · outbound

This paper cites Tensor Loop Reduction via the Baikov Representation and an Auxiliary Vector.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Tensor Loop Reduction via the Baikov Representation and an Auxiliary Vector

Reference 72

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:40:28.017083Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation 45a01ef3-33b6-4028-bcb2-1593660875dd · outbound

This paper cites Generation Function For One-loop Tensor Reduction.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Generation Function For One-loop Tensor Reduction

Reference 73

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.815773Z

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Observation f3330ed9-998e-4db8-b5ec-849242c78698 · outbound

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

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Calculating Massive 3-loop Graphs for Operator Matrix Elements by the Method of Hyperlogarithms

Reference 74

Resolution: verified exact; local_arxiv, observed 2026-08-10T18:40:27.981726Z

Source-reported events for the cited work

No event found in the named queried sources as of 2026-08-20T06:33:59.587034+00:00.

Observation e7a0b694-dbca-44fd-bb63-1169f66c181f · outbound

This paper cites Direct Solution of Integration-by-Parts Systems.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Direct Solution of Integration-by-Parts Systems

Reference 75

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.825753Z

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Observation d8410580-74e0-433a-98b9-6fc300e72393 · outbound

This paper cites Exploring the linear space of Feynman integrals via generating functions.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Exploring the linear space of Feynman integrals via generating functions

Reference 76

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.830481Z

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Observation 713b7457-73ea-4aab-86e7-b17ff4729415 · outbound

This paper cites General One-loop Generating Function by IBP relations.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function General One-loop Generating Function by IBP relations

Reference 77

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.834752Z

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Observation ab6b93dc-cd08-46cf-a55c-c0c16850305d · outbound

This paper cites Solving arbitrary one-loop reduction via generating function.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Solving arbitrary one-loop reduction via generating function

Reference 78

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.839286Z

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Observation b862c7f1-ca6e-485a-a565-c181c4f3cbac · outbound

This paper cites Systematic integral evaluation for spin-resummed binary dynamics.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Systematic integral evaluation for spin-resummed binary dynamics

Reference 79

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.844569Z

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Observation 7bc5bfba-a2fa-4f52-b743-96919e42cea5 · outbound

This paper cites Spinning waveforms in cubic effective field theories of gravity.

Direct Expression for One-Loop Tensor Reduction with Lorentz Indices via Generating Function Spinning waveforms in cubic effective field theories of gravity

Reference 80

Resolution: unresolved; no resolver link, observed 2026-08-10T18:40:27.849647Z

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