Electroweak radiative corrections to neutral-current Drell-Yan processes at hadron colliders

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Abstract

We calculate the complete electroweak $\mathcal{O}(\ensuremath{\alpha})$ corrections to $p\stackrel{(\ensuremath{-})}{p}\ensuremath{\rightarrow}{l}^{+}{l}^{\ensuremath{-}}X(l=e,\ensuremath{\mu})$ in the standard model (SM) of electroweak interactions. They comprise weak and photonic virtual one-loop corrections as well as real photon radiation to the parton-level processes $q\overline{q}\ensuremath{\rightarrow}\ensuremath{\gamma},\stackrel{\ensuremath{\rightarrow}}{Z}{l}^{+}{l}^{\ensuremath{-}}.$ We study in detail the effect of the radiative corrections on the ${l}^{+}{l}^{\ensuremath{-}}$ invariant mass distribution, the cross section in the Z boson resonance region, and on the forward-backward asymmetry ${A}_{\mathrm{FB}}$ at the Fermilab Tevatron and the CERN Large Hadron Collider. The weak corrections are found to increase the Z boson cross section by about 1%, but have little effect on the forward-backward asymmetry in the Z peak region. Threshold effects of the W box diagrams lead to pronounced effects in ${A}_{\mathrm{FB}}$ at ${m(l}^{+}{l}^{\ensuremath{-}})\ensuremath{\approx}160\mathrm{GeV}$ which, however, will be difficult to observe experimentally. At high dilepton invariant masses, the nonfactorizable weak corrections are found to become large.

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