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

Abstract

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 $hf\bar{f}$ 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 $h\to f\bar{f}$, which arises due to non-Hermiticity of the $hf\bar{f}$ interaction, is discussed. It is suggested to study effects of this non-Hermiticity in the decay $h\to {\tau }^{-}{\tau }^{+}\to {\mu }^{-}{\bar{\nu }}_{\mu }{\nu }_{\tau }{\mu }^{+}{\nu }_{\mu }{\bar{\nu }}_{\tau }$, for which observables (asymmetries) are constructed which take nonzero values for a non-Hermitian $h{\tau }^{-}{\tau }^{+}$ interaction. These asymmetries are analyzed for various configurations of the muon energies.

arXiv comment10 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

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Cited by in corpus (14)

• Spontaneous symmetry breaking and the Goldstone theorem in non-Hermitian field theories
• Goldstone bosons in different PT-regimes of non-Hermitian scalar quantum field theories
• Gauge invariance and the Englert-Brout-Higgs mechanism in non-Hermitian field theories
• Spontaneously Breaking Non-Abelian Gauge Symmetry in Non-Hermitian Field Theories
• Pseudo-Hermitian approach to Goldstone's theorem in non-Abelian non-Hermitian quantum field theories
• PT-Symmetric Non-Hermitian Quantum Field Theories with Supersymmetry
• Massive gauge particles versus Goldstone bosons in non-Hermitian non-Abelian gauge theory
• On the consistency of a non-Hermitian Yukawa interaction
• Wilsonian approach to the interaction ${\varphi }^2(i\varphi {)}^{\epsilon }$
• Neutrino mass observables and non-Hermitian version of Type-I seesaw model
• Energy correlation of bottom quarks from decays of top quarks in electron$-$positron annihilation
• Angular distribution and asymmetries in the decay of the polarized charmed baryon ${\Lambda }_c^{+}\to K^{-}{\Delta }^{++}\to K^{-}p{\pi }^{+}$
• Decay of the Higgs boson to longitudinally polarized leptons and quarks
• Higgs boson decay to lepton pair and photon and possible non-Hermiticity of the Yukawa interaction