Status of the two-Higgs-doublet model in light of the CDF mW measurement

Abstract

The most recent $W$-boson mass measurement by the CDF Collaboration with a substantially reduced uncertainty indicates a significant deviation from the standard model prediction, as large as $7\ensuremath{\sigma}$ if taken literally. Then the Peskin-Takeuchi parameters of $S$ and $T$ shift to larger values, which has profound consequences in searching for physics beyond the SM. In the framework of two-Higgs-doublet models, we study the effect of the new $W$-boson mass measurement on the parameter space. Combined with other constraints including theoretical requirements, flavor-changing neutral currents in $B$ physics, the cutoff scale above 1 TeV, Higgs precision data, and direct collider search limits from the LEP, Tevatron, and LHC experiments, we find upper bounds on the masses of the heavy Higgs bosons; ${M}_{H,A,{H}^{\ifmmode\pm\else\textpm\fi{}}}\ensuremath{\lesssim}1.1\text{ }\text{ }\mathrm{TeV}$ in type I, II, X, and Y for the normal Higgs scenario; ${M}_{{H}^{\ifmmode\pm\else\textpm\fi{}}}\ensuremath{\lesssim}450\text{ }\text{ }\mathrm{GeV}$ and ${M}_{A}\ensuremath{\lesssim}420\text{ }\text{ }\mathrm{GeV}$ in type I and X for the inverted scenario where the heavier $CP$-even Higgs bosons is the observed one. Another important finding is that type II and type Y in the inverted scenario are completely excluded. Such unprecedented findings imply that the upcoming LHC run can readily close out a large portion of the, still available, parameter space.