\begin{document}$\gamma\gamma$\end{document} and \begin{document}$\tau\tau$\end{document} excesses in the Georgi–Machacek model using a combined fit to a single light \begin{document}$\rm CP$\end{document}-even custodial singlet H. By combining the one-loop renormalization group-improved effective potential and positive-definiteness conditions for vacuum stability with perturbative unitarity, electroweak precision tests, B-physics, and Higgs data, we identify a narrow but viable parameter region. In the allowed region, \begin{document}$\mu_{\gamma\gamma}$\end{document} approaches the experimental central value, whereas \begin{document}$\mu_{\tau\tau}$\end{document} reaches only \begin{document}$\sim0.5$\end{document} (about \begin{document}$1.4\sigma$\end{document} below the CMS central value) and remains within the \begin{document}$2\sigma$\end{document} interval—providing a good description of the di-photon excess but only a partial accommodation of the di-tau excess. The scenario predicts characteristic patterns in the singlet mixing and triplet vacuum expectation values and is highly testable at the HL-LHC and future lepton colliders through precision \begin{document}$\kappa_V$\end{document} measurements and direct exotic searches."> Interpreting the 95 GeV di-photon and di-tau excesses in the Georgi–Machacek model -
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