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arXiv · 2210.13505

One-loop hexagon integral to higher orders in the dimensional regulator

Johannes M. Henn·Antonela Matijašić·Julian Miczajka
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Abstract

The state-of-the-art in current two-loop QCD amplitude calculations is at five-particle scattering. Computing two-loop six-particle processes requires knowledge of the corresponding one-loop amplitudes to higher orders in the dimensional regulator. In this paper we compute analytically the one-loop hexagon integral via differential equations. In particular we identify its function alphabet for general $D$-dimensional external states. We also provide integral representations for all one-loop integrals up to weight four. With this, the one-loop integral basis is ready for two-loop amplitude applications. We also study in detail the difference between the conventional dimensional regularization and the four-dimensional helicity scheme at the level of the master integrals and their function space.

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Johannes M. Henn, Antonela Matijašić, Julian Miczajka. 2022-10-24. One-loop hexagon integral to higher orders in the dimensional regulator. https://doi.org/10.1007/jhep01(2023)096

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