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Main Authors: de Doncker, Elise, Ishikawa, Tadashi, Kato, Kiyoshi, Yuasa, Fukuko
Format: Preprint
Published: 2024
Subjects:
Online Access:https://arxiv.org/abs/2405.13286
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author de Doncker, Elise
Ishikawa, Tadashi
Kato, Kiyoshi
Yuasa, Fukuko
author_facet de Doncker, Elise
Ishikawa, Tadashi
Kato, Kiyoshi
Yuasa, Fukuko
contents Four 3-loop two-point functions are studied analytically and numerically using a simplified sector decomposition method. The coefficients of the ultraviolet divergent part are determined analytically, and those of the finite part are computed numerically. The energy dependence of the integrals is shown explicitly, and a discussion of its behavior is presented.
format Preprint
id arxiv_https___arxiv_org_abs_2405_13286
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Analytic and numerical approaches for depictive 3-loop integrals using sector decomposition
de Doncker, Elise
Ishikawa, Tadashi
Kato, Kiyoshi
Yuasa, Fukuko
High Energy Physics - Phenomenology
Four 3-loop two-point functions are studied analytically and numerically using a simplified sector decomposition method. The coefficients of the ultraviolet divergent part are determined analytically, and those of the finite part are computed numerically. The energy dependence of the integrals is shown explicitly, and a discussion of its behavior is presented.
title Analytic and numerical approaches for depictive 3-loop integrals using sector decomposition
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2405.13286