Abstract
We present a calculation of the next-to-leading-order electroweak corrections to W+\gamma\ production, including the leptonic decay of the W boson and taking into account all off-shell effects of the W boson, where the finite width of the W boson is implemented using the complex-mass scheme. Corrections induced by incoming photons are fully included and find particular emphasis in the discussion of phenomenological predictions for the LHC. The corresponding next-to-leading-order QCD corrections are reproduced as well. In order to separate hard photons from jets, a quark-to-photon fragmentation function a la Glover and Morgan is employed. Our results are implemented into Monte Carlo programs allowing for the evaluation of arbitrary differential cross sections. We present integrated cross sections for the LHC at 7TeV, 8TeV, and 14TeV as well as differential distributions at 14TeV for bare muons and dressed leptons. Finally, we discuss the impact of anomalous WW\gamma\ couplings.
Highlights
LHC [3,4,5,6], with experimental accuracies of roughly 12% on integrated cross sections
We present a calculation of the next-to-leading-order electroweak corrections to W + γ production, including the leptonic decay of the W boson and taking into account all off-shell effects of the W boson, where the finite width of the W boson is implemented using the complex-mass scheme
The production of W + γ final states at hadron colliders represents the ideal process to investigate the interaction of W bosons with photons at high energies
Summary
The production of a leptonically decaying W+ boson in combination with a photon is ruled by quark-antiquark annihilation at LO, ui dj → l+νl γ ,. Where all contributions, including the LO cross section σ0, are calculated with NLO PDFs. The real and the virtual corrections are given by σrαesal and σvαisrt, respectively, the contribution σcαosl originates from the redefinition of the PDFs, and σfαrsag represents the contribution from fragmentation of a quark into a photon. Where the quark-antiquark-induced EW corrections ∆σqNqLO EW and the photon-induced corrections ∆σqNγLO EW are finite, while their individual contributions are IR divergent. The numerical integration is performed by the multi-channel phase-space generator LUSIFER [35] extended to use Vegas [36, 37] in order to optimize each phase-space mapping. Analytical Breit-Wigner mappings are introduced in the phase-space parametrization, allowing for a stable numerical integration by flattening the integrand
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