Muon $$g-2$$ g-2 anomaly confronted with the higgs global data in the left-right twin Higgs models

Abstract

Abstract We will examine the muon $$g-2$$ g-2 anomaly with the background of the Higgs global fit data in the framework of the Left-Right Twin Higgs (LRTH) Models. The joint constrains of the precision electroweak data, the 125 GeV Higgs data, the leptonic flavor changing decay $$\mu \rightarrow e\gamma $$ μ→eγ decays, and the mass requirement of the right-handed neutrino $$\nu _R$$ νR , the vector-like top partner T and the heavy gauge boson $$W_H$$ WH , $$m_{\nu _R}>m_T>m_{W_H}$$ mνR>mT>mWH , are all considered in our calculation. Furthermore, since the neutral scalar $$\phi ^0$$ ϕ0 may be lighter than the 125 GeV Higgs, the direct searches from the $$h\rightarrow \phi ^0\phi ^0$$ h→ϕ0ϕ0 channels can impose stringent upper limits on Br$$(h\rightarrow \phi ^0\phi ^0)$$ (h→ϕ0ϕ0) , which will reduce the allowed region of $$m_{\phi ^0}$$ mϕ0 and f, the vacuum expectation value of the SM right-handed Higgs $$H_R$$ HR . It is concluded that the muon g-2 anomaly can be explained in the region of 700 GeV $$\le f\le $$ ≤f≤ 1100 GeV, 13 GeV $$\le m_{\phi ^0}\le $$ ≤mϕ0≤ 55 GeV, 100 GeV $$\le m_{\phi ^\pm }\le $$ ≤mϕ±≤ 900 GeV, $$m_{\nu _R}\ge $$ mνR≥ 15 TeV, and 200 GeV $$\le M\le $$ ≤M≤ 800 GeV, after imposing all the constraints mentioned above, where M here means the mass mixing coefficient $$M \bar{q}_Lq_R$$ Mq¯LqR , allowed by gauge invariance.