O(α_s) corrections to the decays of polarized W^+- and Z bosons into massive quark pairs

Abstract

We present O(α_s) results on the decays of polarized W^+- and Z bosons into massive quark pairs. The NLO QCD corrections to the polarized decay functions are given up to the second order in the quark mass expansion. We find a surprisingly strong dependence of the NLO polarized decay functions on finite quark mass effects even at the relatively large mass scale of the W^+- and Z bosons. As a main application we consider the decay t -> b + W^+ involving the helicity fractions ρ_{mm} of the W^+ boson followed by the polarized decay W^+(\uparrow) -> q_1 qbar_2 for which we determine the O(α_s) polar angle decay distribution. We also discuss NLO polarization effects in the production/decay process e^+e^- -> Z(\uparrow) -> q qbar.

arXiv comment25 pages, 2 figures and 1 table

References in corpus (9)

• Helicity fractions of W bosons from top quark decays at NNLO in QCD
• QCD-corrected spin analysing power of jets in decays of polarized top quarks
• Complete angular analysis of polarized top decay at O(alpha_s)
• Electroweak and finite width corrections to top quark decays into transverse and longitudinal $W$-bosons
• Longitudinal, transverse-plus and transverse-minus W-bosons in unpolarized top quark decays at O(alpha_s)
• Polarized top decay into polarized W: t(up)->W(up) + b at O(alpha_s)
• Combination of CDF and D0 measurements of the W boson helicity in top quark decays
• Leptonic $\mu$- and $\tau$-decays: mass effects, polarization effects and $O(\alpha )$ radiative corrections
• A survey of top quark polarization at a polarized linear e^+ e^- collider

Cited by in corpus (8)

• Measurement of $W^{\pm }Z$ production cross sections and gauge boson polarisation in $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• NLO QCD corrections to polarised di-boson production in semi-leptonic final states
• Observation of gauge boson joint-polarisation states in $W^{\pm }Z$ production from $pp$ collisions at $\sqrt{s}=13$ TeV with the ATLAS detector
• Lepton-mass effects in the decays $H\to Z{Z}^{\ast }\to {\ell }^{+}{\ell }^{-}{\tau }^{+}{\tau }^{-}$ and $H\to W{W}^{\ast }\to \ell \nu \tau {\nu }_{\tau }$
• Fully analytical O(α_s) results for on-shell and off-shell polarized W-boson decays into massive quark pairs
• A $W^{\pm }$ polarization analyzer from Deep Neural Networks
• The decays of on-shell and off-shell polarized gauge bosons into massive quark pairs at NLO QCD
• First order electroweak radiative corrections to the decay of the polarised $W$ boson