Pseudo-scalar Higgs boson production at N$^3$LO$_{\text{A}}$+N$^3$LL$^\prime$

TL;DR

This paper provides highly accurate theoretical predictions for pseudo-scalar Higgs boson production at the LHC by combining fixed-order calculations with advanced threshold resummation techniques, reducing uncertainties and improving convergence.

Contribution

It introduces a novel combination of approximate N$^3$LO and N$^3$LL$^ extprime$ resummation for pseudo-scalar Higgs production, enhancing precision and uncertainty estimates.

Findings

Resummation improves perturbative convergence for high-mass pseudo-scalars.

Predictions are consistent between QCD and effective theory approaches.

Results are publicly available via updated codes ggHiggs and TROLL.

Abstract

We consider the production of a pseudo-scalar particle $A$ at the LHC, and present accurate theoretical predictions for its inclusive cross section in gluon fusion. The prediction is based on combining fixed-order perturbation theory and all-order threshold resummation. At fixed order we include the exact next-to-next-to-leading order (NNLO) plus an approximate next-to-next-to-next-to-leading order (N$^3$LO$_{\rm A}$) which is based on the recent computation at this order for the scalar case. We then add threshold resummation at next-to-next-to-next-to leading logarithmic accuracy (N$^3$LL$^\prime$). Various forms of threshold resummation are considered, differing by the treatment of subleading terms, allowing a robust estimate of the theoretical uncertainties due to missing higher orders. With particular attention to pseudo-scalar masses of $200$ GeV and $750$ GeV, we also observe that perturbative convergence is much improved when resummation is included. Additionally, results obtained with threshold resummation in direct QCD are compared with analogous results as computed in soft-collinear effective theory, which turn out to be in good agreement. We provide precise predictions for pseudo-scalar inclusive cross section at $13$ TeV LHC for a wide range of masses. The results are available through updated versions of the public codes ggHiggs and TROLL.