Decay of the Higgs boson $h\to {\tau }^{-}{\tau }^{+}\to {\pi }^{-}{\nu }_{\tau }{\pi }^{+}{\bar{\nu }}_{\tau }$ for a non-Hermitian Yukawa interaction

Abstract

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

arXiv comment12 pages, 4 figures, appolb style; v2: published version

References in corpus (19)

• 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
• Prospects of Measuring the Parity of Higgs Particles
• Symmetries and conservation laws in non-Hermitian field theories
• Spontaneous symmetry breaking and the Goldstone theorem in non-Hermitian field theories
• Goldstone bosons and the Englert-Brout-Higgs mechanism in non-Hermitian 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
• Discrete spacetime symmetries and particle mixing in non-Hermitian scalar quantum field theories
• Angular distribution and forward-backward asymmetry of the Higgs-boson decay to photon and lepton pair
• Massive gauge particles versus Goldstone bosons in non-Hermitian non-Abelian gauge theory
• 't Hooft-Polyakov monopoles in non-Hermitian quantum field theory
• On the consistency of a non-Hermitian Yukawa interaction
• Dynamical Majorana Neutrino Masses and Axions II: Inclusion of Axial Background and Anomaly Terms
• Dynamical Majorana Neutrino Masses and Axions
• Non-Hermitian Yukawa interactions of fermions with axions: potential microscopic origin and dynamical mass generation
• Symmetry properties of non-Hermitian PT-symmetric quantum field theories

Cited by in corpus (1)

• Decay of the Higgs boson to longitudinally polarized leptons and quarks