Correlating W-Boson Mass Shift with Muon g-2 in the Two Higgs Doublet Model.

Abstract

We show an interesting correlation between the recent high precision measurement of the W-boson mass by the CDF Collaboration and the muon (g-2) anomaly in the context of the two Higgs doublet model. One-loop diagrams involving the exchange of neutral scalar bosons can explain the muon (g-2), which, however, requires significant mass splittings among members of the second Higgs doublet. These splittings also generate a positive shift in the mass of the W boson, consistent with the recent CDF measurement. The charged and neutral scalars of the model cannot be heavier than about 600GeV for a simultaneous explanation of the two anomalies. The entire parameter space of the model can be tested at the LHC by a combination of same sign dimuon signals in pp→(μ^{+}μ^{+}jj+E_{T}) and pp→(μ^{+}μ^{-}τ^{+}τ^{-}+X) signals.