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We present a calculation of the next-to-leading-order electroweak correctionsto W+\gamma\ production, including the leptonic decay of the W boson and takinginto account all off-shell effects of the W boson, where the finite width ofthe W boson is implemented using the complex-mass scheme. Corrections inducedby incoming photons are fully included and find particular emphasis in thediscussion of phenomenological predictions for the LHC. The correspondingnext-to-leading-order QCD corrections are reproduced as well. In order toseparate hard photons from jets, a quark-to-photon fragmentation function a laGlover and Morgan is employed. Our results are implemented into Monte Carloprograms allowing for the evaluation of arbitrary differential cross sections.We present integrated cross sections for the LHC at 7TeV, 8TeV, and 14TeV aswell as differential distributions at 14TeV for bare muons and dressed leptons.Finally, we discuss the impact of anomalous WW\gamma\ couplings.

NLO QCD and electroweak corrections to W+\gamma\ production with leptonic W-boson decays