Recent progress for five-particle two-loop scattering amplitudes with an off-shell leg

TL;DR

This paper discusses recent advances in calculating complex two-loop five-particle scattering amplitudes involving an off-shell leg, specifically applied to Higgs production with bottom quarks, utilizing new computational techniques.

Contribution

The paper introduces novel computational methods, including finite field arithmetic and efficient evaluation of special functions, to overcome previous bottlenecks in amplitude calculations.

Findings

Successful calculation of two-loop five-particle amplitudes with an off-shell leg

Implementation of finite field arithmetic for amplitude evaluation

Enhanced numerical methods for special function evaluation

Abstract

We report on the advances in the calculation of the two-loop scattering amplitudes for five-particle processes with one off-shell leg. Focusing on the production of a Higgs boson in association with a bottom quark pair, we outline how the newly developed technology allows us to overcome the computational bottlenecks. In particular, we discuss the use of finite field arithmetic and elucidate a convenient way to evaluate numerically the special functions appearing in the amplitudes.