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

• DOI: 10.48550/arxiv.2403.19742
• Publication Date: 2024-03-28
• Authors: Johannes M. Henn; Antonela Matijašić; Julian Miczajka; Tiziano Peraro; Yingxuan Xu; Yang Zhang
• Keywords: Regularization; Feynman integral; Dimensional regularization

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