AbstractWe examine the possibilities of accommodating the muon $$g-2$$
g
-
2
anomaly released by Fermilab in the 2HDM with a discrete $$Z_4$$
Z
4
symmetry in which an inert Higgs doublet field ($$H,~A,~H^\pm $$
H
,
A
,
H
±
) has the lepton flavor violation $$\mu $$
μ
–$$\tau $$
τ
interactions. We assume the Yukawa matrices to be real and symmetrical and investigate the case of light H (5 GeV $$<m_H<$$
<
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 $$g-2$$
g
-
2
anomaly can be explained within $$2\sigma $$
2
σ
confidence level in the region of 5 GeV $$<m_H<20$$
<
m
H
<
20
GeV, 130 GeV $$< m_A~(m_{H^\pm })<$$
<
m
A
(
m
H
±
)
<
610 GeV, and 0.005 $$<\rho<$$
<
ρ
<
0.014. Meanwhile, the $$\chi ^2_\tau $$
χ
τ
2
fitting the data of lepton flavour universality in the $$\tau $$
τ
decays approaches to the SM prediction.
Bounds for lepton flavor violation and the pseudoscalar Higgs boson in the general two Higgs doublet model using theg−2muon factor
