Combining NLO QCD and Electroweak Radiative Corrections to W boson Production at Hadron Colliders in the POWHEG Framework

Abstract

The precision measurement of the mass of the $W$ boson is an important goal of the Fermilab Tevatron and the CERN Large Hadron Collider (LHC). It requires accurate theoretical calculations which incorporate both higher-order QCD and electroweak corrections, and also provide an interface to parton-shower Monte Carlo programs which make it possible to realistically simulate experimental data. In this paper, we present a combination of the full $\mathcal{O}(\alpha )$ electroweak corrections of {\tt WGRAD2}, and the next-to-leading order QCD radiative corrections to $W\to \ell \nu$ production in hadronic collisions in a single event generator based on the {\tt POWHEG} framework, which is able to interface with the parton-shower Monte Carlo programs {\tt Pythia} and {\tt Herwig}. Using this new combined QCD+EW Monte Carlo program for $W$ production we provide numerical results for total cross sections and kinematic distributions of relevance to the $W$ mass measurement at the Tevatron and the LHC for the processes $pp,p\bar{p}\to W^{\pm }\to {\mu }^{\pm }{\nu }_{\mu }$. In particular, we discuss the impact of EW corrections in the presence of QCD effects when including detector resolution effects.

32 pages, 28 postscript figures, typos fixed, plot on the right-hand side of Fig.12 replaced with results from a higher statistics run, note added

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