Pseudo-scalar Higgs Boson Production at Threshold N$^3$LO and N$^3$LL QCD

TL;DR

This paper calculates the production rate of pseudo-scalar Higgs bosons at the LHC to N$^3$LO in QCD, incorporating soft gluon effects and threshold resummation, significantly improving theoretical precision.

Contribution

It provides the first N$^3$LO QCD results for pseudo-scalar Higgs production including soft gluon effects and threshold resummation at N$^3$LL, using recent three-loop form factors and soft functions.

Findings

N$^3$LO corrections reduce scale dependence.

Resummation improves theoretical predictions.

Results enhance understanding of pseudo-scalar Higgs production.

Abstract

We present the first results on the production of pseudo-scalar through gluon fusion at the LHC to N$^3$LO in QCD taking into account only soft gluon effects. We have used the effective Lagrangian that describes the coupling of pseudo-scalar with the gluons in the large top quark mass limit. We have used recently available quantities namely the three loop pseudo-scalar form factor and the third order universal soft function in QCD to achieve this. Along with the fixed order results, we also present the process dependent resummation coefficient for threshold resummation to N$^3$LL in QCD. Phenomenological impact of these threshold N$^3$LO corrections to pseudo-scalar production at the LHC is presented and their role to reduce the renormalisation scale dependence is demonstrated.