Probing violation of CP & T invariance in the transitions of {\tau} leptons

Abstract

The SM predicts zero value for {\bf CP} \& {\bf T} violation in the decays of $\tau$ leptons -- except $\tau^- \to \nu K_S [\pi^-/\pi^-\pi^0 ...]$. Our community could establish impact of New Dynamics (ND) in a {\bf CP} asymmetry in a semi-hadronic $\tau$ transition and later in a second one. To be `practical', I suggest to our experimental colleagues to probe $\tau^- \to \nu \bar K^0 [\pi^-/\pi^-\pi^0/\pi^-\eta]$and $\tau^- \to \nu K^-[\pi^0/\pi^+\pi^-/\eta]$. While I had mostly given comments about {\bf CP} violation in $\tau$ transitions, some theorists have shown how ND models could produce {\bf CP} asymmetries; I will discuss these ones, although sometimes I am not a true theorist, but as a phenomenalist here. I can hardly `dream' that {\bf CP} asymmetry in $\tau$ decays could connected with our huge asymmetry in `our' matter vs. anti-matter.