Implication of the $W$ boson mass anomaly at CDF II in the Higgs triplet model with a mass difference

TL;DR

The paper investigates whether the Higgs triplet model can explain the CDF II W boson mass anomaly, considering experimental constraints and specific mass differences among triplet-like Higgs bosons.

Contribution

It demonstrates that the W boson mass anomaly can be accounted for within the Higgs triplet model with particular mass differences and triplet VEV, consistent with current experimental bounds.

Findings

The anomaly can be explained with triplet-like Higgs mass differences of order 100 GeV.

The triplet VEV of order 1 GeV is compatible with the anomaly explanation.

Constraints from electroweak precision measurements are satisfied in this scenario.

Abstract

A new report for the measurement of the W boson mass has been provided by the CDF II experiment. The measured value of the W boson mass is given to be $m_W^{\text{CDF II}} = 80.4335 \pm 0.0094$ GeV which shows $7\sigma$ deviation from the standard model prediction, while the other groups of high energy experiments, e.g., ATLAS and D0 II, show consistent results with the latter. Assuming that the measurement at CDF II is correct, we discuss the possibility to explain the anomaly in the Higgs triplet model. We find that the anomaly can be explained under the constraints from the electroweak rho parameter, the effective weak mixing angle, the partial width of the leptonic $Z$ decay and current direct searches at LHC when non-zero mass differences among the triplet-like Higgs bosons and the vacuum expectation value of the triplet Higgs field are taken to be ${\cal O}(100)$ GeV and ${\cal O}(1)$ GeV, respectively.