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 of the Higgs boson (h) to a pair of τ leptons with their subsequent decay in the τ− → π−ντ and τ → πν̄τ channels is studied. The Yukawa interaction between the Higgs boson and the τ leptons is assumed to include scalar (S) and pseudoscalar (PS) couplings. Angular distributions of the pions in the h → ττ → π−ντ πν̄τ decay are considered. For real values of the S and PS couplings, this decay is known to be a source of information on CP violation in the hττ interaction. In the present paper, the main attention is paid to a possible non-Hermiticity of this interaction. Influence of non-Hermiticity on the distribution of the angle between planes of the τ− → π−ντ and τ → πν̄τ decays, and distribution of the polar angle of one of the pions are analyzed. Asymmetries sensitive to parameters of CP violation and non-Hermiticity of hττ interaction are proposed.