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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. Wecompare the phenomenological perspectives with the theoretical predictions insupersymmetric extensions of the standard model. In the minimal extension,CP-violating phases lead to a non-zero transverse polarization, that however istoo small to account for a positive experimental signal. The problems that oneencounters when departing from minimal assumptions are discussed. An observableeffect is possible if the hypothesis of R-parity conservation is relaxed, butonly at the price of assuming a very special pattern for the R-parity breakingcouplings.Comment: latex, 18 pages, 1 latex figur

physical review. d. particles, fields, gravitation, and cosmology/physical review. d. particles and fields

Supersymmetric prediction for the muon transverse polarization in the<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mrow><mml:msup><mml:mrow><mml:mi>K</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow></mml:msup></mml:mrow><mml:mo>→</mml:mo><mml:mrow><mml:msup><mml:mrow><mml:mi>π</mml:mi></mml:mrow><mml:mrow><mml:mn>0</mml:mn></mml:mrow></mml:msup></mml:mrow><mml:mrow><mml:msup><mml:mrow><mml:mi>μ</mml:mi></mml:mrow><mml:mrow><mml:mo>+</mml:mo></mml:mrow…

Supersymmetric prediction for the muon transverse polarization in theK+→π0μ+