title: Rapidity distributions in Drell-Yan and Higgs productions at threshold to third order in QCD.
abstract: We present the threshold N(3)LO perturbative QCD corrections to the rapidity distributions of dileptons in the Drell-Yan process and Higgs boson in gluon fusion. Sudakov resummation of QCD amplitudes, renormalization group invariance, and the mass factorization theorem provide useful guidelines to obtain them in an elegant manner. We use various state of the art three loop results that have been recently available to obtain these distributions. For the Higgs boson, we demonstrate numerically the importance of these corrections at the LHC.
authors.affiliation: Regional Centre for Accelerator-based Particle Physics, Harish-Chandra Research Institute, Allahabad, India.
authors.forename: Taushif
authors.initials: T
authors.lastname: Ahmed
authors.affiliation: Regional Centre for Accelerator-based Particle Physics, Harish-Chandra Research Institute, Allahabad, India.
authors.forename: M K
authors.initials: MK
authors.lastname: Mandal
authors.affiliation: Regional Centre for Accelerator-based Particle Physics, Harish-Chandra Research Institute, Allahabad, India.
authors.forename: Narayan
authors.initials: N
authors.lastname: Rana
authors.affiliation: The Institute of Mathematical Sciences, Chennai, India.
authors.forename: V
authors.initials: V
authors.lastname: Ravindran