Time reversal violation in $K^{+}\to {\mu }^{+}\nu \gamma$ decay and three Higgs model

Abstract

Transverse muon polarization in the $K^{+}\to {\mu }^{+}\nu \gamma$ decay is calculated in the model with scalar and pseudo scalar four-Fermi interactions. Combined with a similar calculation in the $K^{+}\to {\mu }^{+}\nu {\pi }^0$ decay, a possible constraint on parameters in the three-Higgs model is obtained assuming sensitivity of the up-coming KEK experiment. It is pointed out that the predictions for the two polarizations are strongly correlated in the three Higgs model.

Comments: 15 pages, 6 Postscript figures, also available via anonymous ftp at ftp://ftp.kek.jp/kek/preprints/TH/TH-444