Triply polarized $WWW$ at the LHC: first glimpse at LO

Abstract

We present first results for triply polarized $WWW$ events at the LHC. The calculation is performed at leading order for fully leptonic decays using the Standard Model (SM). Employing an inclusive kinematic cut setup, we found that the triply-transverse polarization fraction is about $51\%$, while the triply-longitudinal (LLL) fraction is smallest with $1.4\%$ for the $W^{-}{W}^{+}{W}^{+}$ process. The interference between different polarization amplitudes amounts to $+1.8\%$. Results for the $W^{+}{W}^{-}{W}^{-}$ case are similar. On the technical side, a new general on-shell mapping for multi-resonance processes, being a crucial element of polarized cross-section calculation, is also presented. Finally, comparisons with the results of MoCaNLO and Sherpa are provided, showing good agreements.

Comments: 31 pages, 12 figures, 3 tables. Substantial improvement (extending the on-shell projection to an arbitrary number of resonances; comparisons with MoCaNLO and Sherpa added; many refs added). Matches published version in EPJC