Multiscale pentagon integrals to all orders

We present analytical results for one-loop five-point master integrals with up to three off-shell legs. The method of canonical differential equations along with the Simplified Differential Equations approach is employed. All necessary boundary terms are given in closed form, resulting to solutio...

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Bibliographic Details
Main Author: Dhimiter D. Canko, Costas G. Papadopoulos, Nikolaos Syrrakos
Format: Article
Language:English
Published: SciPost 2022-06-01
Series:SciPost Physics Proceedings
Online Access:https://scipost.org/SciPostPhysProc.7.030
Description
Summary:We present analytical results for one-loop five-point master integrals with up to three off-shell legs. The method of canonical differential equations along with the Simplified Differential Equations approach is employed. All necessary boundary terms are given in closed form, resulting to solutions in terms of Goncharov Polylogarithms of arbitrary weight. Explicit results up to weight six will be presented.
ISSN:2666-4003