We explore the possibility of simultaneously determining the $W$ boson mass, $m_{ W}$, and QCD-related nuisance parameters that affect the $W$ boson $p_{ \mathrm{ T}}$ spectrum from a fit to the $p_{ \mathrm{ T}}$ spectrum of the muon in the leptonic decay $W\rightarrow\mu\nu$. The study is performed using pseudodata generated using Pythia and the muon is required to fall in a kinematic region corresponding to the approximate acceptance of the LHCb detector. We find that the proposed method performs well and has little trouble disentangling variations in the muon $p_{ \mathrm{ T}}$ spectrum due to $m_{ W}$ from those due to the $W$ boson $p_{ \mathrm{ T}}$ model.
Categories: hep-ex hep-ph