Resolving the W-Boson Mass in the Lepton Specific Two Higgs Doublet Model

In this study, the parameter space of the Lepton Specific Two Higgs Doublet Model (LS-2HDM) is investigated to align the W-boson mass reported by the CDF experiment with recent theoretical and experimental findings. The Lepton Specific Two Higgs Doublet Model, a distinguished category within Two Higgs Doublet Models, contains two CP-even, one CP-odd, and two charged scalar bosons, which play crucial role in estimating W boson mass. First, constraints from diverse experimental data, including ATLAS 13 TeV analyses, rare B-meson decays, and Lepton Flavor Universality in tau-lepton and Z-boson decays, are determined and imposed on the parameter space of the model. These constraints are subsequently applied to potential solutions generated through random scans using SARAH 4.13.0 and analyzed using SPheno 4.0.3. The analysis indicates the possibility of realizing the CDF-reported W-boson mass up to 1σ within the low tanβ regime (2.5 tanβ 8.0). Furthermore, it establishes mass limits for the additional scalar boson as 164 mh₂ 195 GeV, 330 mA 575 GeV, and 345 mH^± 685 GeV. Moreover, it is observed that instead of the masses, mass differences of the new scalars of the model are more constrained to assure the CDF reported value of the W boson. Finally, all potential solutions estimating the W-boson mass within a 1σ vicinity are rigorously tested using the HiggsTools package. Remarkably, only one solution remains valid, estimating MW=80.4103 GeV within a 2.44σ vicinity of the CDF-reported value.