Abstract
We examine the possibilities of accommodating the muon g-2 anomaly released by Fermilab in the 2HDM with a discrete Z_4 symmetry in which an inert Higgs doublet field (H,~A,~H^pm ) has the lepton flavor violation mu –tau interactions. We assume the Yukawa matrices to be real and symmetrical and investigate the case of light H (5 GeV <m_H< 115 GeV). After imposing relevant theoretical and experimental constraints, especially for the multi-lepton searches at the LHC, we find that the muon g-2 anomaly can be explained within 2sigma confidence level in the region of 5 GeV <m_H<20 GeV, 130 GeV < m_A~(m_{H^pm })< 610 GeV, and 0.005 <rho< 0.014. Meanwhile, the chi ^2_tau fitting the data of lepton flavour universality in the tau decays approaches to the SM prediction.
Highlights
We consider relevant theoretical and experimental constraints, including the lepton flavor universality (LFU) in the τ decays and multi-lepton event searches at the LHC, and examine the possibilities of explaining the aμ discrepancy reported by Fermilab in the 2HDM with a discrete Z4 symmetry in which an inert Higgs doublet field (H, A, H ±) has the lepton flavor violation μ–τ interactions
Different from the Ref. [36], in this paper we try to use a light H to explain the muon g − 2 combining the LFU in the τ decays and multi-lepton event searches at the LHC
In the 2HDM with an abelian discrete Z4 symmetry, one Higgs doublet has the same interactions with fermions as the SM, and another inert Higgs doublet only has the μ–τ lepton flavor violation (LFV) interactions
Summary
The Fermilab collaboration released new result of the E989 for muon anomalous magnetic moment (g − 2) which combined with the measurement of the E821 [1,2], amounts to [3]. Which has an approximate 4.2σ discrepancy from the SM prediction. The rest of the paper is organized as follows. 3 we discuss the muon g − 2, the LFU in τ decays, the exclusion limits of multi-lepton event searches at the LHC, and other relevant constraints. 4, we show the allowed and excluded parameter space.
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