QCD threshold corrections to di-lepton and Higgs rapidity distributions beyond N2LO

Abstract We present threshold enhanced QCD corrections to rapidity distributions of di-leptons in the Drell–Yan process and of Higgs particles in both gluon fusion and bottom quark annihilation processes using Sudakov resummed cross sections. We have used renormalisation group invariance and the mass factorisation theorem that these hard scattering cross sections satisfy as well as Sudakov resummation of QCD amplitudes. We find that these higher order threshold QCD corrections stabilise the theoretical predictions under scale variations.