# Exact Top Yukawa corrections to Higgs boson decay into bottom quarks

## TL;DR

This paper provides an exact calculation of top Yukawa coupling contributions to Higgs decay into bottom quarks, confirming the accuracy of previous approximations and showing minimal impact on collider search distributions.

## Contribution

It presents the first exact computation of top Yukawa corrections to Higgs to bottom quark decay, validating approximate methods and assessing their phenomenological significance.

## Key findings

- Approximate results are highly accurate for physical masses.
- Corrections have a small effect on differential distributions.
- Results support the reliability of previous approximations.

## Abstract

In this letter we present the results of the exact computation of contributions to the Higgs boson decay into bottom quarks that are proportional to the top Yukawa coupling. Our computation demonstrates that approximate results already available in the literature turn out to be particularly accurate for the three physical mass values of the Higgs boson, the bottom and top quarks. Furthermore, contrary to expectations, the impact of these corrections on differential distributions relevant for the searches of the Higgs boson decaying into bottom quarks at the Large Hadron Collider is rather small.