Tviolation inK+→μ+νγdecay and supersymmetry

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Abstract
Measurement of the transverse muon polarization Pμ⊥ in the K+→μ+νγ 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 Pμ⊥ is sensitive to the physical CP-violating phases in new physics induced four-Fermi interactions, and then we calculate the dominant contributions to Pμ⊥ from squark family mixings in generic supersymmetric models. Estimates of the upper bounds on Pμ⊥ are also given. It is found that a supersymmetry-induced right-handed quark current from W boson exchange gives an upper limit on Pμ⊥ as large as a few percent, whereas, with a charged-Higgs-boson-exchange induced pseudoscalar interaction, Pμ⊥ is no larger than a few tenths of a percent. Possible correlations between the muon polarization measurements in K+→μ+νγ and K+→π0μ+ν 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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