What Does the CMS Measurement of W-polarization Tell Us about the Underlying Theory of the Coupling of W-Bosons to Matter?

Abstract

We discuss results of the CMS collaboration on the sensitivity of the LHC to $W$ boson polarisation in the process $pp\to W^{\pm }+jet\to e^{\pm }jet+/P_T$ using the $L_P$ variable directly connected to ${\theta }^{\ast }$ angle of the outgoing lepton in the rest frame of the decaying $W$. We have shown that for a given $L_P$, interference between different polarizations of the $W$-boson is not negligible, and needs to be taken into account when considering the differential cross-section with respect to $L_P$. The $L_P$ variable suggested by CMS collaboration is highly suitable variable to study LHC sensitivity to $g_V,g_A$ couplings of $W$-boson to fermions. We note that the experimental sensitivity to W-boson polarization which is much higher than that to ($g_V,g_A$) parameter space can be turned around and used to identify deviations from the Standard Model as a signal for new physics at the LHC.

11 pages, 8 figures. Updated to match the final version published in JHEP with updated figures and polished text

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• PYTHIA 6.4 Physics and Manual
• A standard format for Les Houches Event Files
• Measurement of the polarisation of W bosons produced with large transverse momentum in pp collisions at sqrt(s) = 7 TeV with the ATLAS experiment

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• NLO QCD corrections to polarised di-boson production in semi-leptonic final states
• Polarized Z bosons from the decay of a Higgs boson produced in association with two jets at the LHC
• Polarised W+j production at the LHC: a study at NNLO QCD accuracy
• Amplitude-assisted tagging of longitudinally polarised bosons using wide neural networks
• W boson polarization as a measure of gauge-Higgs anomalous couplings at the LHC
• NLO EW and QCD corrections to polarized ZZ production in the four-charged-lepton channel at the LHC