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FeynCalc 10: Do multiloop integrals dream of computer codes?

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Název: FeynCalc 10: Do multiloop integrals dream of computer codes?
Autoři: Shtabovenko, Vladyslav, Mertig, Rolf, Orellana, Frederik
Zdroj: Shtabovenko , V , Mertig , R & Orellana , F 2025 , ' FeynCalc 10: Do multiloop integrals dream of computer codes? ' , Computer Physics Communications , vol. 306 , 109357 . https://doi.org/10.1016/j.cpc.2024.109357
Rok vydání: 2025
Sbírka: Technical University of Denmark: DTU Orbit / Danmarks Tekniske Universitet
Témata: High energy physics, Feynman diagrams, Loop integrals, Dimensional regularization, Renormalization, Dirac algebra, Passarino-Veltman, Cheng-Wu, Feynman integrals, Symanzik polynomials, Light-cone, Multiloop, Feyncalc
Popis: In this work we report on a new version of FEYNCALC, a MATHEMATICA package widely used in the particle physics community for manipulating quantum field theoretical expressions and calculating Feynman diagrams. Highlights of the new version include greatly improved capabilities for doing multiloop calculations, including topology identification and minimization, optimized tensor reduction, rewriting of scalar products in terms of inverse denominators, detection of equivalent or scaleless loop integrals, derivation of Symanzik polynomials, Feynman parametric as well as graph representation for master integrals and initial support for handling differential equations and iterated integrals. In addition to that, the new release also features completely rewritten routines for color algebra simplifications, inclusion of symmetry relations between arguments of Passarino–Veltman functions, tools for determining matching coefficients and quantifying the agreement between numerical results, improved export to [Formula presented] and first steps towards a better support of calculations involving light-cone vectors.
Druh dokumentu: article in journal/newspaper
Popis souboru: application/pdf
Jazyk: English
DOI: 10.1016/j.cpc.2024.109357
Dostupnost: https://orbit.dtu.dk/en/publications/265cb4ba-5769-4ca3-bb74-2fe18c1b76b7
https://doi.org/10.1016/j.cpc.2024.109357
https://backend.orbit.dtu.dk/ws/files/374233166/1-s2.0-S0010465524002807-main.pdf
Rights: info:eu-repo/semantics/openAccess
Přístupové číslo: edsbas.6B8B65
Databáze: BASE
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  Data: FeynCalc 10: Do multiloop integrals dream of computer codes?
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  Data: <searchLink fieldCode="AR" term="%22Shtabovenko%2C+Vladyslav%22">Shtabovenko, Vladyslav</searchLink><br /><searchLink fieldCode="AR" term="%22Mertig%2C+Rolf%22">Mertig, Rolf</searchLink><br /><searchLink fieldCode="AR" term="%22Orellana%2C+Frederik%22">Orellana, Frederik</searchLink>
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  Data: Shtabovenko , V , Mertig , R & Orellana , F 2025 , ' FeynCalc 10: Do multiloop integrals dream of computer codes? ' , Computer Physics Communications , vol. 306 , 109357 . https://doi.org/10.1016/j.cpc.2024.109357
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  Data: Technical University of Denmark: DTU Orbit / Danmarks Tekniske Universitet
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  Data: <searchLink fieldCode="DE" term="%22High+energy+physics%22">High energy physics</searchLink><br /><searchLink fieldCode="DE" term="%22Feynman+diagrams%22">Feynman diagrams</searchLink><br /><searchLink fieldCode="DE" term="%22Loop+integrals%22">Loop integrals</searchLink><br /><searchLink fieldCode="DE" term="%22Dimensional+regularization%22">Dimensional regularization</searchLink><br /><searchLink fieldCode="DE" term="%22Renormalization%22">Renormalization</searchLink><br /><searchLink fieldCode="DE" term="%22Dirac+algebra%22">Dirac algebra</searchLink><br /><searchLink fieldCode="DE" term="%22Passarino-Veltman%22">Passarino-Veltman</searchLink><br /><searchLink fieldCode="DE" term="%22Cheng-Wu%22">Cheng-Wu</searchLink><br /><searchLink fieldCode="DE" term="%22Feynman+integrals%22">Feynman integrals</searchLink><br /><searchLink fieldCode="DE" term="%22Symanzik+polynomials%22">Symanzik polynomials</searchLink><br /><searchLink fieldCode="DE" term="%22Light-cone%22">Light-cone</searchLink><br /><searchLink fieldCode="DE" term="%22Multiloop%22">Multiloop</searchLink><br /><searchLink fieldCode="DE" term="%22Feyncalc%22">Feyncalc</searchLink>
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  Data: In this work we report on a new version of FEYNCALC, a MATHEMATICA package widely used in the particle physics community for manipulating quantum field theoretical expressions and calculating Feynman diagrams. Highlights of the new version include greatly improved capabilities for doing multiloop calculations, including topology identification and minimization, optimized tensor reduction, rewriting of scalar products in terms of inverse denominators, detection of equivalent or scaleless loop integrals, derivation of Symanzik polynomials, Feynman parametric as well as graph representation for master integrals and initial support for handling differential equations and iterated integrals. In addition to that, the new release also features completely rewritten routines for color algebra simplifications, inclusion of symmetry relations between arguments of Passarino–Veltman functions, tools for determining matching coefficients and quantifying the agreement between numerical results, improved export to [Formula presented] and first steps towards a better support of calculations involving light-cone vectors.
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  Data: 10.1016/j.cpc.2024.109357
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        Type: general
      – SubjectFull: Feynman diagrams
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      – SubjectFull: Loop integrals
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