Combining NLO QCD and Electroweak Radiative Corrections to $W$-boson Production at Hadron Colliders in the {\tt POWHEG} Framework

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 ${\cal O}(\alpha)$ 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.