Feynman Diagrams from Conformal Integrals

Fuente: arXiv
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Main Author: Prabhu, Siddharth G.
Format: Preprint
Published: 2024
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author Prabhu, Siddharth G.
author_facet Prabhu, Siddharth G.
contents We show that momentum space Feynman diagrams involving internal massless fields can be cast as conformal integrals. This leads to a classification of all Feynman diagrams into conformal families, labelled by conformal integrals. Computing the conformal integral in each family suffices to compute all the Feynman diagrams in the family exactly. Using known exact results for some conformal integrals, we present the solutions to the other Feynman diagrams in the corresponding families. These are answers to either finite or dimensionally regularized Feynman diagrams to all orders in the regularization parameter.
format Preprint
id arxiv_https___arxiv_org_abs_2501_00101
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Feynman Diagrams from Conformal Integrals
Prabhu, Siddharth G.
High Energy Physics - Theory
High Energy Physics - Phenomenology
We show that momentum space Feynman diagrams involving internal massless fields can be cast as conformal integrals. This leads to a classification of all Feynman diagrams into conformal families, labelled by conformal integrals. Computing the conformal integral in each family suffices to compute all the Feynman diagrams in the family exactly. Using known exact results for some conformal integrals, we present the solutions to the other Feynman diagrams in the corresponding families. These are answers to either finite or dimensionally regularized Feynman diagrams to all orders in the regularization parameter.
title Feynman Diagrams from Conformal Integrals
topic High Energy Physics - Theory
High Energy Physics - Phenomenology
url https://arxiv.org/abs/2501.00101