Reduction of Feynman integrals in the parametric representation III: integrals with cuts

Phase space cuts are implemented by inserting Heaviside theta functions in the integrands of momentum-space Feynman integrals. By directly parametrizing theta functions and constructing integration-by-parts (IBP) identities in the parametric representation, we provide a systematic method to reduce i...

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Published inThe European physical journal. C, Particles and fields Vol. 80; no. 12; pp. 1 - 4
Main Author Chen, Wen
Format Journal Article
LanguageEnglish
Published Berlin/Heidelberg Springer Berlin Heidelberg 01.12.2020
Springer
Springer Nature B.V
SpringerOpen
Subjects
Astronomy
Astrophysics and Cosmology
Differential equations
Elementary Particles
Hadrons
Heavy Ions
Identities
Integrals
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article – Theoretical Physics
Representations
String Theory
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Abstract Phase space cuts are implemented by inserting Heaviside theta functions in the integrands of momentum-space Feynman integrals. By directly parametrizing theta functions and constructing integration-by-parts (IBP) identities in the parametric representation, we provide a systematic method to reduce integrals with cuts. Since the IBP method is available, it becomes possible to evaluate integrals with cuts by constructing and solving differential equations.
AbstractList Phase space cuts are implemented by inserting Heaviside theta functions in the integrands of momentum-space Feynman integrals. By directly parametrizing theta functions and constructing integration-by-parts (IBP) identities in the parametric representation, we provide a systematic method to reduce integrals with cuts. Since the IBP method is available, it becomes possible to evaluate integrals with cuts by constructing and solving differential equations.
Abstract Phase space cuts are implemented by inserting Heaviside theta functions in the integrands of momentum-space Feynman integrals. By directly parametrizing theta functions and constructing integration-by-parts (IBP) identities in the parametric representation, we provide a systematic method to reduce integrals with cuts. Since the IBP method is available, it becomes possible to evaluate integrals with cuts by constructing and solving differential equations.
ArticleNumber 1173
Audience Academic
Author Chen, Wen
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Snippet Phase space cuts are implemented by inserting Heaviside theta functions in the integrands of momentum-space Feynman integrals. By directly parametrizing theta...
Abstract Phase space cuts are implemented by inserting Heaviside theta functions in the integrands of momentum-space Feynman integrals. By directly...
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SubjectTerms Astronomy
Astrophysics and Cosmology
Differential equations
Elementary Particles
Hadrons
Heavy Ions
Identities
Integrals
Measurement Science and Instrumentation
Nuclear Energy
Nuclear Physics
Physics
Physics and Astronomy
Quantum Field Theories
Quantum Field Theory
Regular Article – Theoretical Physics
Representations
String Theory
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Title Reduction of Feynman integrals in the parametric representation III: integrals with cuts
URI https://link.springer.com/article/10.1140/epjc/s10052-020-08757-3
https://www.proquest.com/docview/2473257872
https://doaj.org/article/b41407d98c164c08ba994432fa9c43e3
Volume 80
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