Thrust distribution in Higgs decays up to the fifth logarithmic order

TL;DR

This paper advances the theoretical understanding of Higgs decay by extending the resummation of thrust distribution calculations to the fifth logarithmic order, emphasizing the importance of three-loop soft functions for accurate predictions.

Contribution

It provides the first comprehensive resummation of Higgs decay thrust distribution up to the fifth logarithmic order, highlighting the need for precise soft function calculations.

Findings

Three-loop soft functions are crucial for reliable predictions.

Soft function convergence is poor in the gluon channel.

Higher-order resummation improves theoretical accuracy.

Abstract

In this work, we extend the resummation for the thrust distribution in Higgs decays up to the fifth logarithmic order. We show that one needs the accurate values of the three-loop soft functions for reliable predictions in the back-to-back region. This is especially true in the gluon channel, where the soft function exhibits poor perturbative convergence.