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A computation of two-loop six-point Feynman integrals in dimensional regularization

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arxiv 2403.19742 v1 pith:L5Z46YTQ submitted 2024-03-28 hep-ph hep-th

Johannes M. Henn , Antonela Matijašić , Julian Miczajka , Tiziano Peraro , Yingxuan Xu , Yang Zhang This is my paper · ORCID
classification hep-phhep-th
keywords integralsregularizationtwo-loopanalyticcomputationdimensionalfeynmansix-point
verification ladder T0 review T1 audit T2 compute T3 formal
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abstract

We compute three families of two-loop six-point massless Feynman integrals in dimensional regularization, namely the double-box, the pentagon-triangle, and the hegaxon-bubble family. This constitutes the first analytic computation of two-loop master integrals with eight scales. We use the method of canonical differential equations. We describe the corresponding integral basis with uniform transcendentality, the relevant function alphabet, and analytic boundary values at a particular point in the Euclidean region up to the fourth order in the regularization parameter $\epsilon$. The results are expressed as one-fold integrals over classical polylogarithms suitable for fast and high-precision evaluation.

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Cited by 5 Pith papers

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