The supersymmetric prediction for the muon transverse polarization in the $K^{+}\leftarrow {\pi }^0{\mu }^{+}{\nu }_{\mu }$ decay

Abstract

The muon transverse polarization in the $K^{+}\leftarrow {\pi }^0{\mu }^{+}{\nu }_{\mu }$ decay will be measured at the $10^{-4}$ level in forthcoming experiments. We compare the phenomenological perspectives with the theoretical predictions in supersymmetric extensions of the standard model. In the minimal extension, CP-violating phases lead to a non-zero transverse polarization, that however is too small to account for a positive experimental signal. The problems that one encounters when departing from minimal assumptions are discussed. An observable effect is possible if the hypothesis of R-parity conservation is relaxed, but only at the price of assuming a very special pattern for the R-parity breaking couplings.

latex, 18 pages, 1 latex figure

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Cited by in corpus (10)

• R-parity violating supersymmetry
• Flavour physics of leptons and dipole moments
• Apparatus for a Search for T-violating Muon Polarization in Stopped-Kaon Decays
• Transverse Muon Polarization in $K^{\pm }\to {\pi }^0{\mu }^{\pm }\nu$ Decay Induced by the Two-Photon Final-State Interaction
• P,T-violating electron-nucleon interactions in the R-parity violating minimal supersymmetric standard model
• Polarization Measurements and T-Violation in Exclusive Semileptonic B Decays
• A new limit of T-violating transverse muon polarization in the $K^{+}\to {\pi }^0{\mu }^{+}\nu$ decay
• Tests of the Standard Model Using Muon Polarization Asymmetries in Kaon Decays
• The CP-conserving contribution to the transverse muon polarization in K+ -> mu+ nu gamma
• T-odd correlations in charged Kl4 decays