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QCD threshold corrections to di-lepton and Higgs rapidity distributions beyond N${}^2$LO

V. Ravindran, J. Smith, W. L. van Neerven

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.

QCD threshold corrections to di-lepton and Higgs rapidity distributions beyond N${}^2$LO

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.

Paper Structure

This paper contains 2 sections, 58 equations, 2 figures, 3 tables.

Table of Contents

  1. Hart parts
  2. Soft-plus-virtual parts

Figures (2)

  • Figure 1: Rapidity distributions for DY production at the LHC, and their $\mu_R$ scale dependence(with $\mu_F^2=q^2=M^2_{l^+l^-}$). Here we denote $M=M_{l^+l^-}$. The abbreviation "pSV" means partial-soft-plus-virtual.
  • Figure 2: Rapidity distributions for Higgs production through gluon fusion at LHC, and their $\mu_R$ scale dependence for the Higgs boson of mass $m_H=115~{\rm GeV}$ with $\mu_F=m_H$.