Higgs boson production through $b \bar b$ annihilation at threshold in N$^3$LO QCD

TL;DR

This paper calculates advanced N$^3$LO QCD corrections for Higgs boson production via bottom quark annihilation at hadron colliders, highlighting their significance at the LHC.

Contribution

It introduces the first threshold resummed N$^3$LO QCD corrections for this process using recent theoretical results and factorization techniques.

Findings

N$^3$LO corrections significantly impact Higgs production rates at the LHC.

Resummation improves the precision of theoretical predictions.

This work advances towards complete N$^3$LO calculations.

Abstract

We present threshold enhanced N$^3$LO QCD corrections to inclusive Higgs production through bottom anti-bottom annihilation at hadron colliders using threshold resummed cross section. The resummed cross section is obtained using factorization properties and Sudakov resummation of the inclusive cross section. We use the recent results on threshold N$^3$LO corrections in QCD for Drell-Yan production and three loop QCD corrections to Higgs form factor with bottom anti-bottom quark to achieve this task. This is the first step towards the evaluation of complete N$^3$LO result. We have numerically demonstrated the importance of such corrections at the LHC.