Resummed transverse momentum distribution of pseudo-scalar Higgs boson at NNLO$_A$+NNLL

TL;DR

This paper improves the theoretical prediction of the pseudo-scalar Higgs boson's transverse momentum distribution at the LHC by resumming large logarithms to NNLL accuracy and matching to NNLO, reducing uncertainties.

Contribution

It presents a novel NNLO$_A$+NNLL calculation of the Higgs boson p_T distribution, enhancing precision over previous fixed-order methods.

Findings

Significant reduction in theoretical uncertainties at NNLL level.

Distribution matched to NNLO$_A$+NNLL valid across all p_T regions.

Detailed phenomenological analysis for 13 TeV and 14 TeV LHC energies.

Abstract

In this article we have studied the transverse momentum distribution of the pseudo-scalar Higgs boson at the Large Hadron Collider (LHC). The small $\pt$ region which provides the bulk of the cross section is not accessible to fixed order perturbation theory due to the presence of large logarithms in the series. Using the universal infrared behaviour of the QCD we resum these large logarithms up to next-to-next-to-leading logarithmic (NNLL) accuracy. We observe a significant reduction in theoretical uncertainties due to the unphysical scales at NNLL level compared to the previous order. We present the $p_T$ distribution matched to NNLO$_A$+NNLL, valid for the whole $p_T$ region and provide a detailed phenomenological study in the context of both 14 TeV and 13 TeV LHC using different choices of masses, scales and parton distribution functions which will be useful for the search of such particle at the LHC in near future.