Abstract
We propose a two-Higgs-doublet model in which one Higgs doublet has the same interactions with fermions as the SM, and another Higgs doublet only has the $\mu$-$\tau$ LFV interactions. Assuming that the Yukawa matrices are real and symmetric, we impose various relevant theoretical and experimental constraints, and find that the excesses of muon $g-2$ and lepton flavour universality in the $\tau$ decays can be simultaneously explained in the region of small mass splittings between the heavy CP-even Higgs and the CP-odd Higgs ($m_A > m_H$). The multi-lepton event searches at the LHC can sizably reduce the mass ranges of extra Higgses, and $m_H$ is required to be larger than 560 GeV.
Highlights
The muon anomalous magnetic moment g − 2 has been a long-standing puzzle since the announcement by the E821 experiment in 2001 [1]
Assuming that the Yukawa matrices are real and symmetrical, we impose various relevant theoretical and experimental constraints, and find that the excesses of muon g − 2 and lepton flavor universality in the τ decays can be simultaneously explained in the region of small mass splittings between the heavy charge parity (CP)-even Higgs and the CP-odd Higgs
We focus on applying the ATLAS and CMS direct searches at the LHC to constrain the parameter space explaining the excesses of muon g − 2 and LUF in τ decays
Summary
The muon anomalous magnetic moment g − 2 has been a long-standing puzzle since the announcement by the E821 experiment in 2001 [1]. As a simple extension of the SM, the lepton-specific twoHiggs-doublet model (2HDM) can accommodate the muon g − 2 anomaly by the contributions of two-loop Barr-Zee diagrams for a light charge parity (CP)-odd Higgs A and large tan β [4,5,6,7,8,9,10,11,12,13,14,15]. A scalar with the μ-τ lepton flavor violation (LFV) interactions can accommodate the muon g − 2 anomaly by the contribution of one-loop diagrams [17,18,19,20,21,22,23].
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