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

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 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→(µ^{+}µ^{+}jj+E_{T}) and pp→(µ^{+}µ^{-}τ^{+}τ^{-}+X) signals.

Minimal Realization of Light Thermal Dark Matter.

We propose a minimal UV-complete model for kinematically forbidden dark matter (DM) leading to a sub-GeV thermal relic. Our crucial realization is that the two-Higgs-doublet model can provide a light mediator through which the DM can annihilate into standard model leptons, avoiding indirect detection constraints. The DM mass is predicted to be very close to the mass of the leptons, which can potentially be identified from DM annihilation into gamma rays. Because of the sizable couplings to muons required to reproduce the DM relic abundance, this framework naturally favors a resolution to the (g-2)_{µ} anomaly. Furthermore, by embedding this setup to the Zee model, we show that the phenomenon of neutrino oscillations is inherently connected to the observed relic abundance of DM. All new physics involved in our framework lies at or below the electroweak scale, making it testable at upcoming colliders, beam-dump experiments, and future sub-GeV gamma-ray telescopes.