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.

5 pages. v2 : Published version, title changed, discussions added

References in corpus (11)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Parton distributions for the LHC
• Quark and gluon form factors to three loops
• Dynamical Threshold Enhancement and Resummation in Drell-Yan Production
• Higgs boson gluon-fusion production at threshold in N3LO QCD
• Higher-Order threshold effects to inclusive processes in QCD
• Drell-Yan Production at Threshold to Third Order in QCD
• N${}^3$LO Higgs and Drell-Yan production at threshold: the one-loop two-emission contribution
• QCD threshold corrections to di-lepton and Higgs rapidity distributions beyond N${}^2$LO
• Threshold corrections to rapidity distributions of Z and W^\pm bosons beyond N^2 LO at hadron colliders

Cited by in corpus (8)

• Higgs boson gluon-fusion production in N3LO QCD
• NNLO QCD$\times$EW corrections to Z production in the $q\bar{q}$ channel
• Associated production of Higgs boson with vector boson at threshold N${}^3$LO in QCD
• Higgs Rapidity Distribution in $b\bar{b}$ Annihilation at Threshold in N${}^3$LO QCD
• Quark beam function at next-to-next-to-next-to-leading order in perturbative QCD in the generalized large-$N_c$ approximation
• Resummed inclusive cross-section in Randall-Sundrum model at NNLO+NNLL
• Indian Contributions to LHC Theory
• NNLO mixed EW-QCD corrections to single vector boson production