Implications of the new CDF II <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>W</mml:mi></mml:math>-boson mass on two-Higgs-doublet models
Yang Hwan Ahn, Sin Kyu Kang, Raymundo Ramos
Abstract
We present the implications of the recent measurement of $W$ boson at CDF II on the two-Higgs-doublet model (2HDM). In the analysis, we impose theoretical bounds such as vacuum stability and perturbative unitarity, and several experimental constraints. In addition, we take into account the measurement of ${\mathrm{sin}}^{2}{\ensuremath{\theta}}_{W}({m}_{Z}{)}_{\overline{\mathrm{MS}}}$ on top of the CDF $W$-boson mass to investigate how the $S$ and $T$ parameters are determined. We explore two possible scenarios depending on whether the Higgs boson observed at the LHC is the lighter or heavier of $CP$-even neutral Higgs bosons for 2HDM type I and II. Using the results, we show how the parameter space is constrained, and compare it with the one based on the PDG average of ${m}_{W}$. Furthermore, we explore phenomenological consequences of electroweak precision observables that can be affected by ${m}_{W}$ within the predictions of the 2HDM, and the reduction in parameter space expected from future measurements at the Future Circular Lepton Collider.