T-Violation in $K^+ \to μ^+ νγ$ Decay And Supersymmetry

Details T-Violation in $K^+ \to μ^+ νγ$ Decay And Supersymmetry T-Violation in $K^+ \to μ^+ νγ$ Decay And Supersymmetry

1996-10-29

arxiv.org/abs/hep-ph/9610533v1

Phys.Rev. D55 (1997) 2806-2816

Physics

High Energy Physics

High Energy Physics - Phenomenology

Revtex, 29 pages including 4 epsf figures

Scientific paper

10.1103/PhysRevD.55.2806

Measurement of the transverse muon polarization $P^{\bot}_{\mu}$ in the $K^+ \rightarrow \mu^+\nu\gamma$ decay will be attempted for the first time at the ongoing KEK E246 experiment and also at a proposed BNL experiment. We provide a general analysis of how $P^{\bot}_{\mu}$ is sensitive to the physical $CP$-violating phases in new physics induced four-Fermi interactions, and then we calculate the dominant contributions to $P^{\bot}_{\mu}$ from squark family mixings in generic supersymmetric models. Estimates of the upper bounds on $P^{\bot}_{\mu}$ are also given. It is found that a supersymmetry-induced right-handed quark current from $W$ boson exchange gives an upper limit on $P^{\bot}_{\mu}$ as large as a few per cent, whereas with charged-Higgs-exchange induced pseudoscalar interaction, $P^{\bot}_{\mu}$ is no larger than a few tenths of a per cent. Possible correlations between the muon polarization measurements in $K^+ \rightarrow \mu^+\nu\gamma$ and $K^+ \rightarrow \pi^0\mu^+\nu$ decays are discussed, and distinctive patterns of this correlation from squark family-mixings and from the three-Higgs-doublet model are noted.

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