Impact of the CDF $W$-mass anomaly on two Higgs doublet model

TL;DR

This paper investigates how the recent CDF W-mass anomaly impacts the parameter space of the two Higgs doublet model, constraining heavy Higgs bosons to about 1 TeV due to deviations in electroweak parameters.

Contribution

It provides a detailed analysis of the CDF W-mass anomaly within the two Higgs doublet model, establishing upper mass limits on heavy Higgs bosons based on electroweak precision data and theoretical constraints.

Findings

Large deviations in S and T parameters restrict heavy Higgs masses to around 1 TeV.

Theoretical constraints from unitarity and potential stability further limit the parameter space.

The CDF W-mass anomaly can be accommodated within the two Higgs doublet model with these bounds.

Abstract

We consider the implication of the recent CDF $W$-mass anomaly in the general framework of two Higgs doublet model. We find that the large deviation of the $S$ and $T$ parameters from their SM values of zero leads to the upper limit of about $1$ TeV on the heavy charged and neutral Higgs bosons when it is combined with the theoretical constraints from the perturbative unitarity and for the Higgs potential to be bounded from below.