# Thrust distribution in Higgs decays at the next-to-leading order and beyond

## TL;DR

This paper provides advanced predictions for the thrust distribution in Higgs boson decays, incorporating next-to-leading and approximate next-to-next-to-leading order corrections, crucial for reducing theoretical uncertainties.

## Contribution

It introduces approximate NNLO corrections derived from a factorization formula, enhancing the precision of Higgs decay predictions beyond previous methods.

## Key findings

- Large corrections observed, especially in the gluon channel
- Scale variations at lowest orders underestimate higher order effects
- Results are essential for controlling perturbative uncertainties

## Abstract

We present predictions for the thrust distribution in hadronic decays of the Higgs boson at the next-to-leading order and the approximate next-to-next-to-leading order. The approximate NNLO corrections are derived from a factorization formula in the soft/collinear phase-space regions. We find large corrections, especially for the gluon channel. The scale variations at the lowest orders tend to underestimate the genuine higher order contributions. The results of this paper is therefore necessary to control the perturbative uncertainties of the theoretical predictions. We also discuss on possible improvements to our results, such as a soft-gluon resummation for the 2-jets limit, and an exact next-to-next-to-leading order calculation for the multi-jets region.