Yukawa sector for LFV in $h\to \mu \tau$ and CP violation in $h\to \tau \tau$

Abstract

The Higgs boson discovered at the LHC opened a new chapter for particle physics. Its properties need to be studied in detail to distinguish a purely standard model (SM) Higgs boson from one of many scalars in an enlarged Higgs sector. The CMS collaboration has reported a possible lepton flavor violating (LFV) signal $h\to \mu \tau$, which if confirmed, implies that the Higgs sector is larger than in the SM. New physics responsible for this type of decay may, in general, also introduce other observable effects such as charge-parity (CP) violation in $h\to \tau \tau$. We study two types of models that single out the third generation and can induce large $h\to \mu \tau$ rates with different consequences for CP violation in $h\to \tau \tau$. Predictions for the size of the CP violating couplings require knowledge of the lepton Yukawa matrices and we discuss this in the context of two different textures considering all existing constraints.

RevTex, 19 pages with two figures

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Cited by in corpus (9)

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• Lepton-flavour-violating gluonic operators: constraints from the LHC and low energy experiments
• Higgs boson decays with lepton flavor violation in the $B-L$ symmetric SSM
• Probing the CP-Violation effects in the $h\tau \tau$ coupling at the LHC
• Constraints and Implications on Higgs FCNC Couplings from Precision Measurement of $B_s\to {\mu }^{+}{\mu }^{-}$ Decay
• The Higgs program and open questions in particle physics and cosmology
• Probing chirality structure in lepton-flavour-violating Higgs decay $h\to \tau \mu$ at the LHC
• Probe $CP$-violating $H\gamma \gamma$ coupling through interferometry