Fermion mass hierarchies from vector-like families with an extended 2HDM and a possible explanation for the electron and muon anomalous magnetic moments

Abstract

We study an extended 2 Higgs doublet model (2HDM) in which the Standard Model (SM) Yukawa interactions are forbidden due to a global $U(1{)}^{\prime }$ symmetry, but may arise via mixing with vector-like families. In this model, the hierarchical structure of Yukawa couplings of quarks and leptons in the SM arises from the heavy masses of the fourth and fifth vector-like families. Within this model, we consider various non-standard contributions to the electron and muon anomalous magnetic moments. We first consider the $W$ exchange at one-loop level, consistent with the $\mu \to e\gamma$ constraint, and show that it yields a negligible contribution to both electron and muon anomalous magnetic moments. We then consider Higgs scalar exchange, together with vector-like leptons, at one-loop level and show that it is possible to have non-standard contributions to the electron and muon anomalous magnetic moments within the $1\sigma$ constraint of certain experiments. We present some benchmark points for both the muon and the electron anomalies, together with some numerical scans around these points, which indicate the mass regions of the Higgs scalars of the 2HDM in this scenario.

41 pages, 12 figures. References added, discussions enlarged. Matches published version in PRD

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• Non-Abelian Vector Dark Matter and Lepton $g-2$
• Neutrino masses and magnetic moments of electron and muon in the Zee Model
• Universal Inverse seesaw mechanism as a source of the SM fermion mass hierarchy
• Dark Matter and $(g-2{)}_{\mu ,e}$ in radiative Dirac neutrino mass models
• The CDF W-mass, muon g-2, and dark matter in a $U(1{)}_{L_{\mu }-L_{\tau }}$ model with vector-like leptons
• Marriage between neutrino mass and flavor anomalies
• Explanation of electron and muon $g-2$ anomalies in AMSB
• Prospects for a flavour violating $Z^{\prime }$ explanation of $\Delta a_{\mu ,e}$
• An explanation of experimental data of $(g-2{)}_{e,\mu }$ in 3-3-1 models with inverse seesaw neutrinos
• Collider Signatures of a Scalar Leptoquark and Vector-like Lepton in Light of Muon Anomaly
• The Muon Magnetic Moment and Physics Beyond the Standard Model
• Global analysis and LHC study of a vector-like extension of the Standard Model with extra scalars
• Heavy singly charged Higgs bosons and inverse seesaw neutrinos as origins of large $(g-2{)}_{e,\mu }$ in two higgs doublet models
• Fermion mass hierarchy and g-2 anomalies in an extended 3HDM Model
• Search for single vector-like $B$ quark production in hadronic final states at the LHC
• $Z$ mediated Flavour Changing Neutral Currents with a Fourth Vector-Like Family
• Singlet Scalars as Dark Matter and the Muon g-2 Anomaly
• Fermiophobic $Z^{\prime }$ model for simultaneously explaining the muon anomalies $R_{K^{(\ast )}}$ and $(g-2{)}_{\mu }$
• $(g-2{)}_{e,\mu }$ and decays $e_b\to e_a\gamma$ in a $ \mbox{SU}(4)_L \otimes \mbox{U}(1)_X$ model with inverse seesaw neutrinos
• LFV decays in a 3-4-1 model with minimal inverse seesaw neutrinos
• Can electron and muon $g-2$ anomalies be jointly explained in SUSY?
• Aligned Zee-Grimus-Neufeld model for $(g-2{)}_{\mu }$