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arXiv · 2110.07971

Multiscale pentagon integrals to all orders

Dhimiter D. Canko·Costas G. Papadopoulos·Nikolaos Syrrakos
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Abstract

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.

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Dhimiter D. Canko, Costas G. Papadopoulos, Nikolaos Syrrakos. 2021-10-15. Multiscale pentagon integrals to all orders. https://arxiv.org/abs/2110.07971

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