Is the new CDF $M_W$ measurement consistent with the two higgs doublet model?

Abstract

Motivated by the new CDF measurement of the $W$ boson mass reported recently which clearly illustrates a large deviation compared to the Standard Model (SM) prediction. In the present paper, we study the Two-Higgs Doublet Model (2HDM) contributions to $M_W$ and its phenomenological implications in the case where the heavy CP-even $H$ is identified as the observed Higgs boson with a mass of $125$ GeV. Taking into account theoretical and all the available experimental constraints as well as the new CDF measurement, we demonstrate that the 2HDM parameter space can provide a large correction which predicts the W mass close to the new CDF $M_W$ measurement. It is found that $M_{H\pm }=M_A$ is excluded and the splitting of the charged Higgs boson with all other states is positive. We also discuss the consequence on the effective mixing angle ${\sin }^2{\theta }_{\text{eff}}$ as well as the phenomenological implications on the charged Higgs and CP-odd decays.

11 pages, 6 figures

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• The decay $A^0\to h^0{Z}^{(\ast )}$ in the inverted hierarchy scenario and its detection prospects at the Large Hadron Collider
• Charged Higgs decay to $W^{\pm }H$ at a high energy lepton collider
• $E_6$ Models in Light of Precision $M_W$ Measurements
• Lepton $g-2$ and $W$-boson mass anomalies in the DFSZ axion model
• On the mass spectrum of heavy Higgs bosons in two-Higgs-doublet model in the light of the CDF $W$-mass anomaly
• Observability of 2HDM charged Higgs boson in a misaligned scenario
• Accommodating the CDF W-boson Mass Measurement in the Beautiful Mirror Model
• GUT origins of general electroweak multiplets and their oblique parameters