Two-loop infrared singularities in the production of a Higgs boson associated with a top-quark pair

Abstract

The associated production of a Higgs boson and a top-quark pair is important for probing the Yukawa coupling of the top quark, and calls for better theoretical modeling. In this paper, we calculate the two-loop infrared divergences in t tH production at hadron colliders. To do that we compute the one-loop amplitudes to higher orders in the dimensional regulator . Numeric results for the infrared poles are given as a reference at several representative phase-space points. The result in this work servers as a part of the ongoing efforts towards the t tH cross sections at the next-to-next-to-leading order.

Alphabet of one-loop Feynman integrals *

“…Examples are available for various one-loop and multi-loop calculations, e.g., Refs. [42][43][44]. With such types of expressions, it is highly non-trivial to decide whether a set of letters are independent.…”