$h\to \mu \tau$ and muon g-2 in the alignment limit of two-Higgs-doublet model

Abstract

We examine the $h\to \mu \tau$ and muon g-2 in the exact alignment limit of two-Higgs-doublet model. In this case, the couplings of the SM-like Higgs to the SM particles are the same as the Higgs couplings in the SM at the tree level, and the tree-level lepton-flavor-violating coupling $h\mu \tau$ is absent. We assume the lepton-flavor-violating $\mu \tau$ excess observed by CMS to be respectively from the other neutral Higgses, $H$ and $A$, which almost degenerates with the SM-like Higgs at the 125 GeV. After imposing the relevant theoretical constraints and experimental constraints from the precision electroweak data, $B$-meson decays, $\tau$ decays and Higgs searches, we find that the muon g-2 anomaly and $\mu \tau$ excess favor the small lepton Yukawa coupling and top Yukawa coupling of the non-SM-like Higgs around 125 GeV, and the lepton-flavor-violating coupling is sensitive to another heavy neutral Higgs mass. In addition, if the $\mu \tau$ excess is from $H$ around 125 GeV, the experimental data of the heavy Higgs decaying into $\mu \tau$ favor $m_A>230$ GeV for a relatively large $H\bar{t}t$ coupling.

25 pages, 7 figures, references added

References in corpus (11)

• Updated NNLO QCD predictions for the weak radiative B-meson decays
• Explaining $h\to {\mu }^{\pm }{\tau }^{\mp }$, $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ and $B\to K{\mu }^{+}{\mu }^{-}/B\to K{e}^{+}{e}^{-}$ in a two-Higgs-doublet model with gauged $L_{\mu }-L_{\tau }$
• Status of the Higgs Singlet Extension of the Standard Model after LHC Run 1
• Higgs $\to \mu \tau$ in Abelian and Non-Abelian Flavor Symmetry Models
• Explaining the CMS Higgs flavor violating decay excess
• Complementarity Between Non-Standard Higgs Searches and Precision Higgs Measurements in the MSSM
• A simplified 2HDM with a scalar dark matter and the galactic center gamma-ray excess
• Higgs $\to$ $\mu \tau$ as an indication for $S_4$ flavor symmetry
• Higgcision Updates 2014
• Nondecoupling of charged scalars in Higgs decay to two photons and symmetries of the scalar potential
• An explanation of one loop induced $h\to \mu \tau$ decay

Cited by in corpus (11)

• New physics explanations of $a_{\mu }$ in light of the FNAL muon $g-2$ measurement
• A joint explanation of W-mass and muon g-2 in 2HDM
• $B^0\to K^{\ast 0}{\mu }^{+}{\mu }^{-}$ Decay in the Aligned Two-Higgs-Doublet Model
• Higgs lepton flavor violating decays in Two Higgs Doublet Models
• Charged-lepton-flavor violation in $|\Delta S|=1$ hyperon decays
• muon $g-2$ anomaly and $\mu$-$\tau$-philic Higgs doublet with a light CP-even component
• A $\mu$-$\tau$-philic Higgs doublet confronted with the muon g-2, $\tau$ decays and LHC data
• Higgs boson decays with lepton flavor violation in the $B-L$ symmetric SSM
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• Rare top-quark decays $t\to cg(g)$ in the aligned two-Higgs-doublet model
• Charged lepton flavor violation in light of Muon $g-2$