Decay of the Higgs boson to $\tau^- \tau^+$ and non-Hermiticy of the Yukawa interaction

The issue of Hermiticity of the Higgs boson interaction with fermions is addressed. A model for non-Hermitian Yukawa interaction is proposed and approximation of one fermion generation is considered. Symmetry properties of the corresponding hff¯ Lagrangian with respect to the discrete P, C, and T transformations are analyzed, and the modified Dirac equation for the free fermion is studied. Longitudinal polarization of the fermions in the decay h→ff¯, which arises due to non-Hermiticity of the hff¯ interaction, is discussed. It is suggested to study effects of this non-Hermiticity in the decay h→τ-τ+→μ-ν¯μντμ+νμν¯τ, for which observables (asymmetries) are constructed which take nonzero values for a non-Hermitian hτ-τ+ interaction. These asymmetries are analyzed for various configurations of the muon energies.

Note:

10 pages, 2 figures, revtex4; v2: one reference added, comparison with results of other papers included, insignificant changes in tables, corresponds to journal version; v3: minor typos corrected

new physics
CPT: conservation law
Higgs particle: leptonic decay
Higgs particle: width
Higgs particle: coupling
Higgs particle: interaction
interaction: Yukawa
tau: coupling
coupling: Higgs
coupling: Yukawa

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Decay of the Higgs boson to τ−τ+\tau^- \tau^+τ−τ+ and non-Hermiticy of the Yukawa interaction

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Decay of the Higgs boson to $\tau^- \tau^+$ and non-Hermiticy of the Yukawa interaction