Higgs pair production from bottom quark annihilation to NNLO in QCD

A H Ajjath,Amlan Chakraborty,Pulak Banerjee,Narayan Rana,Prasanna K Dhani,Pooja Mukherjee,V Ravindran

doi:10.1007/jhep05(2019)030

Abstract

We present the first results on the two-loop massless QCD corrections to the four-point amplitude b+overline{b}to H+H in the five flavor scheme, treating bottom quarks as massless. This amplitude is sensitive to the trilinear Higgs boson coupling. Our two-loop result for this amplitude constitutes of purely virtual contributions to the next-to-next-to-leading order QCD predictions for the production of a pair of Higgs bosons at the Large Hadron Collider. Using these two loop amplitudes and exploiting the universality of the soft contributions in perturbative QCD, we obtain the NNLO QCD effects in the soft plus virtual approximation. We find that the inclusion of higher order terms reduce the uncertainties resulting from the unphysical renormalisation and factorisation scales.

Highlights

Measurements, could provide crucial information on the structure of the scalar potential and could constrain BSM physics scenarios [3]
We present the first results on the two-loop massless QCD corrections to the four-point amplitude b + b → H + H in the five flavor scheme, treating bottom quarks as massless
Since the leading order (LO) and the next-to-leading order (NLO) [51] QCD effects have already been studied in the literature, as a first step towards the computation of the full next-to-nextto-leading order (NNLO) QCD corrections, we evaluate two-loop virtual contributions to the production of a pair of Higgs bosons in this channel

Summary

Introduction

Measurements, could provide crucial information on the structure of the scalar potential and could constrain BSM physics scenarios [3]. NLO corrections have been obtained for this channel considering several BSM scenarios [52,53,54] For the latter, the bottom quark annihilation process dominates over the gluon fusion even at LO level. As a first step, we present full NNLO QCD corrections from certain class of diagrams to inclusive cross section for producing pair of Higgs bosons at the LHC and apply soft plus virtual approximation for the other class of diagrams.

Objectives

Methods

Conclusion