Higgs boson production through bb annihilation at threshold in N3LO QCD

Abstract

We present threshold enhanced N3LO 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 N3LO 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 N3LO result. We have numerically demonstrated the importance of such corrections at the LHC.