Revisiting lepton-specific 2HDM in light of muon g − 2 anomaly

We examine the lepton-specific 2HDM as a solution of muon g−2 anomaly under various theoretical and experimental constraints, especially the direct search limits from the LHC and the requirement of a strong first-order phase transition in the early universe. We find that the muon g−2 anomaly can be explained in the region of 32<tan⁡β<80, 10GeV<mA<65GeV, 260GeV<mH<620GeV and 180GeV<mH±<620GeV after imposing the joint constraints from the theory, the precision electroweak data, the 125 GeV Higgs data, the leptonic/semi-hadronic τ decays, the leptonic Z decays and Br(Bs→μ+μ−). The direct searches from the h→AA channels can impose stringent upper limits on Br(h→AA) and the multi-lepton event searches can sizably reduce the allowed region of mA and tan⁡β (10GeV<mA<44GeV and 32<tan⁡β<60). Finally, we find that the model can produce a strong first-order phase transition in the region of 14GeV<mA<25GeV, 310GeV<mH<355GeV and 250GeV<mH±<295GeV, allowed by the explanation of the muon g−2 anomaly.