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.

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

References in corpus (9)

• Observation of a new particle in the search for the Standard Model Higgs boson with the ATLAS detector at the LHC
• Observation of a new boson at a mass of 125 GeV with the CMS experiment at the LHC
• Making Sense of Non-Hermitian Hamiltonians
• Precise determination of the mass of the Higgs boson and tests of compatibility of its couplings with the standard model predictions using proton collisions at 7 and 8 TeV
• Study of the mass and spin-parity of the Higgs boson candidate via its decays to Z boson pairs
• Evidence for the Higgs-boson Yukawa coupling to tau leptons with the ATLAS detector
• Search for the $b\bar{b}$ decay of the Standard Model Higgs boson in associated $(W/Z)H$ production with the ATLAS detector
• Angular distribution and forward-backward asymmetry of the Higgs-boson decay to photon and lepton pair
• Foldy-Wouthuysen transformation for non-Hermitian Hamiltonians

Cited by in corpus (7)

• 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
• On the consistency of a non-Hermitian Yukawa interaction
• Wilsonian approach to the interaction ${\varphi }^2(i\varphi {)}^{\epsilon }$
• Energy correlation of bottom quarks from decays of top quarks in electron$-$positron annihilation
• Higgs boson decay to lepton pair and photon and possible non-Hermiticity of the Yukawa interaction
• Decay of the Higgs boson to longitudinally polarized leptons and quarks