Estimating the impact of mixed QCD-electroweak corrections on the $W$-mass determination at the LHC

Abstract

We study the impact of the recently computed mixed QCD-electroweak corrections to the production of $W$ and $Z$ bosons at the LHC on the value of the $W$ mass extracted from the transverse momentum distribution of charged leptons from $W$ decays. Using the average lepton transverse momenta in $W$ and $Z$ decays as simplified observables for the determination of the $W$ mass, we estimate that mixed QCD-electroweak corrections can shift the extracted value of the $W$ mass by up to $\mathcal{O}(20)\mathrm{MeV}$, depending on the kinematic cuts employed to define fiducial cross sections for $Z$ and $W$ production. Since the target precision of the $W$-mass measurement at the LHC is $\mathcal{O}(10)\mathrm{MeV}$, our results emphasize the need for fully-differential computations of mixed QCD-electroweak corrections and a careful analysis of their potential impact on the determination of the $W$ mass.

6 pages

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Cited by in corpus (7)

• Mixed strong$-$electroweak corrections to the Drell$-$Yan process
• Compatibility and combination of world W-boson mass measurements
• Third order QCD predictions for fiducial W-boson production
• Determination of the $W$-boson mass at hadron colliders
• Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
• Mixed QCD-electroweak corrections to dilepton production at the LHC in the high invariant mass region
• Two-loop mixed QCD-EW corrections to neutral current Drell-Yan