Time reversal violation in \(K^+ \to \mu^+ \nu \gamma\) decay and three Higgs model

Abstract

Transverse muon polarization in the \(K^+ \rightarrow \mu^+ \nu \gamma\) decay is calculated in the model with scalar and pseudo scalar four-Fermi interactions. Combined with a similar calculation in the \(K^+ \rightarrow \mu^+ \nu \pi^0\) 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.