The pp ? W(? l?) + ? process at next-to-next-to-leading order

We present details of the calculation $pp\to W(\to l\nu) \gamma$ process at next-to-next-to-leading order in QCD, calculated using jettiness slicing method. The is based entirely on analytic amplitudes. Because radiation zero, NLO QCD contribution from $gq$ channel as important Born $q\bar{q}$ process, disrupting normal counting leading and sub-leading contributions. also assess importance electroweak (EW) corrections, including EW corrections to both six-parton $0\to \bar{u} d \nu e^+\gamma g$ five-parton e^+ \gamma$. Previous experimental results have been shown agree with theoretical predictions, taking into account large errors. With advent run II data LHC, statistical errors will decrease, be competitive error predictions for first time. numerical $\sqrt{s}=7$ 13 TeV. Analytic one-loop amplitude tree-level seven-parton are presented appendices.