The oblique parameters in the 2HDM with Vector-Like Quarks: Confronting $M_W$ CDF-II Anomaly

TL;DR

This paper examines how the 2HDM with vector-like quarks can account for the CDF-II W boson mass anomaly, analyzing theoretical and experimental constraints to identify viable parameter space.

Contribution

It provides a detailed analysis of the 2HDM with vector-like quarks in light of the CDF-II W mass measurement, including constraints and parameter space implications.

Findings

Cancellation between 2HDM and vector-like quarks contributions broadens parameter space.

Alignment limit with the LHC Higgs is consistent with the W mass anomaly.

The model can accommodate the CDF-II W mass measurement within certain parameter regions.

Abstract

The CDF collaboration has released a new measurement of the $W$ boson mass using their complete data set with 8.8 fb$^{-1}$ in $p\bar{p}$ collisions. This result deviates from the Standard Model prediction by around 7$\sigma$. We explain how the two Higgs doublet model (2HDM) with vector-like quarks is affected by the recently discovered W boson mass. In our study, we include both theoretical constraints such as perturbative unitarity and vacuum stability as well as a number of experimental constraints. We also look into how the effective mixing angle, measured by the SLD collaboration in addition to the CDF W-boson mass, is used to determine the $S$ and $T$ parameters. In the alignment limit, we investigate the case where the lighter CP-even neutral Higgs boson of the 2HDM is the one found at the LHC and demonstrate how the parameter space of the 2HDM type II in the presence of vector-like quarks is constrained. It is found that in most cases, there is a cancellation between the 2HDM and vector-like quarks contributions, which enlarges the parameter space of both models.