Correlating <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>W</mml:mi></mml:math>-Boson Mass Shift with Muon <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>g</mml:mi><mml:mo>−</mml:mo><mml:mn>2</mml:mn></mml:math> in the Two Higgs Doublet Model
K. S. Babu, Sudip Jana, P. K. Vishnu
Abstract
We show an interesting correlation between the recent high precision measurement of the $W$-boson mass by the CDF Collaboration and the muon ($g\ensuremath{-}2$) anomaly in the context of the two Higgs doublet model. One-loop diagrams involving the exchange of neutral scalar bosons can explain the muon ($g\ensuremath{-}2$), 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 600 GeV 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 $pp\ensuremath{\rightarrow}({\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{+}jj+{\overline{)E}}_{T})$ and $pp\ensuremath{\rightarrow}({\ensuremath{\mu}}^{+}{\ensuremath{\mu}}^{\ensuremath{-}}{\ensuremath{\tau}}^{+}{\ensuremath{\tau}}^{\ensuremath{-}}+X)$ signals.