<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:msup><mml:mi>W</mml:mi><mml:mo>+</mml:mo></mml:msup><mml:msup><mml:mi>W</mml:mi><mml:mo>−</mml:mo></mml:msup></mml:math>production in large extra dimension model at next-to-leading order in QCD at the LHC

We present next-to-leading order QCD corrections to production of two $W$ bosons in hadronic collisions in the extra dimension Arkani-Hamed, Dimopoulos, and Dvali model. Invariant mass and rapidity distributions are obtained to order ${\ensuremath{\alpha}}_{s}$ in QCD by taking into account all the parton level subprocesses. The computation is organized using the Monte Carlo based method of phase space slicing. We estimate the impact of the QCD corrections on various observables and find that they are significant. We present some results for a 10 TeV LHC, but most of the results presented here are for 14 TeV LHC. We also show the reduction in factorization scale uncertainty when $\mathcal{O}({\ensuremath{\alpha}}_{s})$ effects are included.