Decay of the Higgs Boson \(h\to \tau ^- \tau ^+\to \pi ^-\nu _{\tau }\pi ^+{\bar \nu }_\tau \) for a Non-Hermitian Yukawa Interaction

The differential rate of the decay Higgs boson ($h$) to a pair $\tau $ leptons with their subsequent in $\tau^-\to \pi^- \nu_\tau$ and $\tau^+\to \pi^+{\bar \nu}_\tau$ channels is studied. Yukawa interaction between $\tau$ assumed include scalar ($S$) pseudoscalar ($PS$) couplings. Angular distributions pions $h\to\tau^- \tau^+\to\pi^-\nu_{\tau}\,\pi^+{\bar are considered. For real values $S$ $PS$ couplings, this known be source information on $\mathcal{CP}$ violation $h \tau interaction. In present paper, main attention paid possible non-Hermiticity Influence distribution angle planes \tau^- \to \pi^-\nu_{\tau}$ $\tau^+ \pi^+ {\bar \nu}_{\tau}$ decays, polar one analyzed. Asymmetries sensitive parameters \tau$ proposed.