The fully differential top decay distribution

Abstract

We write down the four-dimensional fully differential decay distribution for the top quark decay $t\to Wb\to \ell \nu b$. We discuss how its eight physical parameters can be measured, either with a global fit or with the use of selected one-dimensional distributions and asymmetries. We give expressions for the top decay amplitudes for a general $tbW$ interaction, and show how the untangled measurement of the two components of the fraction of longitudinal $W$ bosons - those with $b$ quark helicities of $1/2$ and $-1/2$, respectively - could improve the precision of a global fit to the $tbW$ vertex.

LaTeX 14 pages. Typos corrected, journal version

References in corpus (4)

• Single top quark production at LHC with anomalous Wtb couplings
• Asymmetries in top quark pair production at hadron colliders
• On measurement of top polarization as a probe of $t\bar{t}$ production mechanisms at the LHC
• The "Top Priority" at the LHC

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• $T$-odd correlations in polarized top quark decays in the sequential decay $t(\uparrow )\to X_b+W^{+}(\to {\ell }^{+}+{\nu }_{\ell })$ and in the quasi three-body decay $t(\uparrow )\to X_b+{\ell }^{+}+{\nu }_{\ell }$
• Measurement of the polarisation of single top quarks and antiquarks produced in the $t$-channel at $\sqrt{s}=13$ TeV and bounds on the $tWb$ dipole operator from the ATLAS experiment
• Polarization in (quasi-)two-body decays and new physics
• Bread and butter physics: NLO electroweak corrections to polarized top quark decays