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arXiv · 2405.13286

Analytic and numerical approaches for depictive 3-loop integrals using sector decomposition

Elise de Doncker·Tadashi Ishikawa·Kiyoshi Kato·Fukuko Yuasa
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Abstract

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.

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Elise de Doncker, Tadashi Ishikawa, Kiyoshi Kato, Fukuko Yuasa. 2024-05-22. Analytic and numerical approaches for depictive 3-loop integrals using sector decomposition. https://doi.org/10.1093/ptep/ptae122

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