A joint explanation of W-mass and muon g-2 in 2HDM

Abstract

Since both $W$-mass and muon $g-2$ can be affected by the mass splittings among extra Higgs bosons $(H,A,H^{\pm })$ in a 2HDM, we take a model with $\mu$-$\tau$ LFV interactions to examine the two anomalies reported respectively by CDF II and FNAL. We obtain the following observations: (i) Combined with theoretical constraints, the CDF $W$-mass measurement disfavors $H$ or $A$ to degenerate in mass with $H^{\pm }$, but allows $H$ and $A$ to degenerate. The mass splitting between $H^{\pm }$ and $H/A$ is required to be larger than 10 GeV. The $m_{H^{\pm }}$ and $m_A$ are favored to be smaller than 650 GeV for $m_H<120$ GeV, and allowed to have more large values with increasing of $m_H$. (ii) After imposing other relevant experimental constraints, there are parameter spaces that simultaneously satisfy (at $2\sigma$ level) the CDF $W$-mass, the FNAL muon $g-2$ and the data of lepton universality in $\tau$ decays, but the mass splittings among extra Higgs bosons are strictly constrained.

Comments: References added, some discussions improved. Published in Chinese Physics C