In 2022, the CDF Collaboration reported the $W$-boson mass, $M_W=80.4335\pm0.0094~\mathrm{GeV}$, which deviates from the Standard Model (SM) prediction, $M_W^{\rm SM}=80.357\pm0.006~\mathrm{GeV}$, by about $7\sigma$. By contrast, the CMS Collaboration obtained $M_W=80.3602\pm0.0099~\mathrm{GeV}$, very close to the SM global electroweak fit value of $\sim80.357~\mathrm{GeV}$. Motivated by this situation, we reassess the $W$-boson mass within the Lepton-Specific Two Higgs Doublet Model (LS-2HDM). We perform random scans (generated with SARAH 4.13.0 and evaluated with SPheno 4.0.3) and confront the results with up-to-date theoretical and experimental constraints. The scan enforces vacuum stability, perturbative unitarity, and perturbativity; electroweak precision observables via the oblique parameters $(S,T,U)$; LEP bounds on $H^\pm$; rare $B$-meson decays; lepton flavor universality (LFU) in $Z$ and $\tau$ decays; and LHC 13 TeV searches for additional Higgs bosons. Viable points are further tested with HiggsTools (HiggsSignals + HiggsBounds). In the LS-2HDM, if $h_1$ is the SM-like Higgs at $m_{h_1}\simeq125$ GeV with $|\cos(\beta-\alpha)|\lesssim0.06$, $17\lesssim\tan\beta\lesssim39$, $144\lesssim m_{h_2}\lesssim414$ GeV, and $435\lesssim m_{A,H^{\pm}}\lesssim685$ GeV, the model reproduces the 2024 CMS $W$-boson mass within $3\sigma$. Solutions near the 2022 CDF value, $M_W=80.4335\pm0.0094~\mathrm{GeV}$, survive; however, after applying all constraints, including HiggsTools, they approach it at best within $\lesssim2\sigma$. Our findings emphasize that the LS-2HDM favors the CMS results consistently with the current experimental results. On the other hand, while one can accommodate also the CDF results in this model theoretically, up-to-date electroweak precision bounds on the oblique parameters $(S,T,U)$ together with the SM-like Higgs and LFU constraints exclude these solutions and our results for $W-$boson mass can be only as close as about $2\sigma$ to the CDF results. Content from this work may be used under the terms of the Creative Commons Attribution 3.0 licence. Any further distribution of this work must maintain attribution to the author(s) and the title of the work, journal citation and DOI. Article funded by SCOAP3 and published under licence by Chinese Physical Society and the Institute of High Energy Physics of the Chinese Academy of Science and the Institute of Modern Physics of the Chinese Academy of Sciences and IOP Publishing Ltd.

A bstract: We explore the weak-scale phenomenology of supersymmetric models based on the SU(4) _C × SU(2) _L × SU(2) _R gauge symmetry. We include non-holomorphic soft supersymmetry-breaking terms arising from perturbations on D-branes. These terms significantly alter the implications of Yukawa unification, as they directly interfere in the threshold corrections to the Yukawa couplings. With these corrections, Yukawa unification can be compatible with low fine-tuning alongside a heavy Higgsino-like lightest supersymmetric particle; however, these solutions are strongly constrained by dark matter observations. Furthermore, in contrast to previous studies, the non-holomorphic contributions accommodate heavy gluino masses in this class of models from approximately 2.2 to 10 TeV while preserving Yukawa unification. These gluinos can be probed up to about 2.5 TeV in high-luminosity collider searches, and up to about 6 TeV at future 100 TeV center-of-mass energy colliders. With the non-holomorphic threshold corrections to Yukawa couplings, Yukawa unification can be accommodated with relatively light third-generation squarks. We find that the supersymmetric spectra can accommodate sbottom masses around 1.5 TeV, making them highly accessible to upcoming experimental searches. The stop can also be as light as about 1.5 TeV, resulting in a compressed stop-neutralino spectrum. Even though these solutions lie beyond the sensitivity of current collider searches, they can be potentially probed at future facilities, such as the proposed Future Circular Collider. Our results do not include systematic uncertainties, which can heavily impact the experimental analysis. In this context, our findings serve to highlight potential directions and prospects for new physics searches at future collider experiments. Our results assume that overall systematic uncertainties in background modeling do not exceed 0 . 1%.

We study and explore the low scale implications of Yukawa unification (YU) in the minimal gauge mediated supersymmetry breaking models. We also assume nonzero nonholomorphic terms, with which the YU solutions can be accommodated in the cases with μ > 0 . These results can be considered a direct effect from the nonholomorphic terms, but they also lead to testable low scale implications compatible with YU. We observe abundant solutions consistent with the Higgs boson mass. This constraint leads to heavy strongly interacting supersymmetric particles, while the electroweak sector can be relatively light and can be probed by several experiments. We find that the chargino can be lighter than 1 TeV and it is degenerate with the lightest neutralino in most of these solutions. Consistent solutions in this region can accommodate charginos as light as about 120 GeV, and they will likely be tested soon by the analyses over the compressed spectra. These solutions are also subjected in the lifetime analyses. Our analyses identify such light charginos as decaying in about 10 − 2 ns . Probing such points may need a slight improvement in the sensitivity of current analyses, and one can expect them to be tested very soon. In the same region, the stau is found to be another light supersymmetric particle, and some of the solutions can be inconsistently lighter. We find that it can weigh as light as about 600 GeV consistently, and it can be tested over its lifetime. We summarize and also exemplify our findings with five benchmark scenarios. Furthermore, the benchmark solutions also reveal that the solutions can be tested in heavy Higgs boson searches, which shape the whole Higgs boson spectrum in models.