Consistency of New CDF-II W Boson Mass with 123-Model

Following the recent update measurement of the W boson mass performed by the CDF-II experiment at Fermilab which indicates $7\sigma$ deviation from the SM prediction. As a consequence, the open question is whether there are extensions of the SM that can carry such a remarkable deviation or what phenomenological repercussions this has. In this paper, we investigate what the theoretical constraints reveal about the \ott model. Also, we study the consistency of a CDF W boson mass measurement with the 123-model expectations, taking into account theoretical and experimental constraints. Both fit results of $S$ and $T$ parameters before and after $m_{W}^{\rm{CDF}}$ measurement are, moreover, considered in this study. Under these conditions, we found that the 123-model prediction is consistent with the measured $m_{W}^{\rm{CDF}}$ at a $95\%$ Confidence Level (CL).Comment: 17 pages, 3 figure

The two Higgs doublet type-II seesaw model: Naturalness and Bˉ→Xsγ\bar{B}\to X_s\gamma versus heavy Higgs masses

We extend the work \cite{Ouazghour:2018mld} to a more general and detailed analysis through studying the naturalness problem and $B$ physics constraints within the context of two higgs doublets model augmented with a complex scalar triplet field ($2HDMcT$). We first derive the modified Vetman conditions and show that naturalness problem might be evaded at the electroweak scale. Then, we evaluate the branching ratio of $\bar{B}\to X_s\gamma$ radiative decay at the Next to leading order. Besides unitarity, boundedness from below constraints and the present collider data from Higgs signal rate measurements, the parameter space of $2HDMcT$ is then revisited to see how the modified Veltman conditions and $\bar{B}\to X_s\gamma$ experimental bounds induce significant delimitations. Our analysis shows that the naturalness affects drastically the masses of heavy Higgs $h_3$, $A_2$, $H_2^\pm$ and $H^{\pm\pm}$. More specifically, we considered three benchmak scenarios corresponding to $\mu_2 > 20, 40, 70$ GeV. For $\mu_2 > 40$, we find stringent upper limits on $m_{h_2}$, $m_{A_1}$ and $m_{H_1^\pm}$ at $880$, $920$ and $918$ GeV respectively. If, in addition, the measurements of $\bar{B}\to X_s\gamma$ decay rate are also considered, the lower masses limits of nonstandard Higgs bosons ($h_2$, $h_3$, $A_1$, $A_2$, $H_1^\pm$, $H_2^\pm$, $H^{\pm\pm}$) are pushed up to higher values located between $490$ and $750$ GeV. Besides, we also demonstrate that the $\bar{B}\to X_s\gamma$ experimental limits can only be accommodated within $2HDMcT$ if two conditions are fullfilled : $\alpha_1$ parameter positive and the Higgs mass hierarchy $m_{h_{3}}>m_{H_2^\pm}>m_{H^{\pm\pm}}$.Comment: 9 pages, 4 figures, LaTe