Thrust distribution in Higgs decays up to the fifth logarithmic order

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.

Automated summary

This work extends the resummation method to the thrust distribution in Higgs decays up to the fifth logarithmic order. It is shown that accurate values of the three-loop soft functions are crucial for reliable predictions in the back-to-back region, especially in the gluon channel where the soft function has poor perturbative convergence.