The canonical differential equations of the one-loop-like integrals

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Hauptverfasser: Chen, Jiaqi, Feng, Bo, Zhang, Liang
Format: Preprint
Veröffentlicht: 2025
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author Chen, Jiaqi
Feng, Bo
Zhang, Liang
author_facet Chen, Jiaqi
Feng, Bo
Zhang, Liang
contents Recently, a new approach for high loop integrals has been proposed in \cite{Huang:2024nij}, where the whole parameter integration has been divided into two parts: a one-loop-like integration and the remaining parameter integration. In this paper, we systematically study the one-loop-like integrals. We establish the IBP relations for the integral family and show how to complete the reduction. We find the canonical master integrals and write down the corresponding canonical differential equations.
format Preprint
id arxiv_https___arxiv_org_abs_2502_19959
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle The canonical differential equations of the one-loop-like integrals
Chen, Jiaqi
Feng, Bo
Zhang, Liang
High Energy Physics - Phenomenology
Recently, a new approach for high loop integrals has been proposed in \cite{Huang:2024nij}, where the whole parameter integration has been divided into two parts: a one-loop-like integration and the remaining parameter integration. In this paper, we systematically study the one-loop-like integrals. We establish the IBP relations for the integral family and show how to complete the reduction. We find the canonical master integrals and write down the corresponding canonical differential equations.
title The canonical differential equations of the one-loop-like integrals
topic High Energy Physics - Phenomenology
url https://arxiv.org/abs/2502.19959