Combining the multilepton searches at the LHC, we study the possibilities of accommodating the new data of muon and electron $g-2$ anomalies in the lepton-specific inert two-Higgs-doublet model. We take the heavy $CP$-even Higgs as the 125 GeV Higgs, and find the muon and electron $g-2$ anomalies can be explained simultaneously in the region of $5\mathrm{GeV}<m_h<60\mathrm{GeV}$, $200\mathrm{GeV}<m_A<620\mathrm{GeV}$, $190\mathrm{GeV}<m_{H^{\pm }}<620\mathrm{GeV}$ for appropriate Yukawa couplings between leptons and inert Higgs. Meanwhile, the model can give a better fit to the data of lepton universality in $\tau$ decays than the SM. Further, the multilepton event searches at the LHC impose a stringent upper bound on $m_h$, $m_h<35\mathrm{GeV}$.

• Received 2 August 2021
• Accepted 16 November 2021

DOI:https://doi.org/10.1103/PhysRevD.104.115001

Published by the American Physical Society under the terms of the Creative Commons Attribution 4.0 International license. Further distribution of this work must maintain attribution to the author(s) and the published article’s title, journal citation, and DOI. Funded by SCOAP³.

Published by the American Physical Society