Transverse tau polarization in inclusive $\bar{B}\to \tau \bar{\nu }X$ decays

Abstract

We calculate, in the framework of multi Higgs doublet models, the $CP$ violating transverse tau polarization, $P_{\perp }$, in inclusive semileptonic $B$ meson decays. We find that $P_{\perp }$ diverges at $\mathcal{O}(1/m_b^2)$ of the heavy quark expansion. We discuss the physical reasons for this divergence and show how to regularize it. We find large $1/m_b^2$ corrections that can suppress the $CP$ asymmetry by as much as 30\%. The maximal allowed asymmetry is $a_{CP}\sim 0.34$. We discuss how the allowed range is expected to change in the future.

12 pages RevTeX + 1 figure included, WIS-94/39/Sep-PH, CALT-68-1952. (No changes at all; postscript figure submitted separately as requested.)

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Cited by in corpus (17)

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• Lepton angular asymmetries in semileptonic charmful B decays
• Supersymmetric Time Reversal Violation in Semileptonic Decays of Charged Mesons
• Null tests of the Standard Model at an International Super $B$ Factory
• Complete Michel Parameter Analysis of inclusive semileptonic b \to c transition
• Polarization Measurements and T-Violation in Exclusive Semileptonic B Decays
• Spin-Momentum Correlations in Inclusive Semileptonic Decays of Polarized ${\Lambda }_b$ Baryons
• Inclusive Semileptonic Decays of Polarized ${\Lambda }_b$ Baryons into Polarized $\tau$-Leptons
• Search for New Physics at a Super-B Factory
• Tau Polarization in ${\Lambda }_b\to X_c\tau \bar{\nu }$ and $B\to X_c\tau \bar{\nu }$
• Testing Time Reversal Invariance in Exclusive Semileptonic B Meson Decays
• Universality test of the charged Higgs boson couplings at the LHC and at B factories
• Theory of Inclusive B Decays
• Exploring the $\tau$ polarization in $B\to X\tau \bar{\nu }$ along different axes