The 95 GeV and 125 GeV Higgs Excesses in the Left-Right Supersymmetric Standard Model

TL;DR

This work tests whether the Left-Right Supersymmetric Standard Model (LRSSM) can simultaneously explain a light ~$95$ GeV Higgs hint and the $125$ GeV Higgs discovered at the LHC. It implements one-loop and two-loop effective potential corrections to the Higgs masses and analyzes LRSSM-specific parameters such as $\tan\beta_R$, $v_R$, and $v_S$ to predict Higgs masses and signal strengths. The results identify viable parameter regions where a $125$ GeV SM-like Higgs is mainly from the bidoublet $\Phi_2$ while a $95$ GeV state is predominantly from the right-handed triplets $\Delta_R,\delta_R$ with a small $\Phi_2$ admixture, and where the associated diphoton and $b\bar b$ rates can match experimental data; in particular, $\tan\beta_R$ near unity and $v_{R1}$ around $2-3$ TeV emerge as favorable for a joint explanation. The analysis also accounts for neutrino-sector effects and collider bounds on charged Higgs states, illustrating the LRSSM’s potential to accommodate light scalar hints and richer Higgs phenomenology beyond the Standard Model. These findings highlight the LRSSM as a viable framework for explaining multiple Higgs-sector anomalies while linking to neutrino mass generation and dark-sector implications.

Abstract

This study investigates the excesses observed around 95 GeV in diphoton and $b\bar{b}$ experiments within the framework of the Left-Right Supersymmetric Model (LRSSM). Considering the one-loop and two-loop effective potential corrections to the Higgs masses, the model is able to describe the experimentally observed $μ(h_{95})_{γγ}$ and $μ(h_{95})_{b\bar{b}}$ signal strengths. In addition, we also present the impacts of the LRSSM-specific parameters $\tanβ_{R}$, $v_{R}$ and $v_{S}$ on the theoretical predictions of the signal strengths for the 95 GeV and 125 GeV neutral Higgs both.

Figures (10)

• Figure 1: (a) displays the mass of the CP-even Higgs boson $m_{h_1}$ varies with $\tan \beta_R$ and different values of $\tan \beta$ are taken. (b), (c), (d) display $m_{h_1}$ varies with $v_{R1}$ with taking the different values of $\lambda_3,\lambda_R,\lambda_S$ respectively. The horizontal gray band represents the $3\sigma$ interval of Eq. (\ref{['mhhh']}).
• Figure 2: A scan was performed in the parameter space provided by Eq. (\ref{['cs125']}), by ensuring that $m_{h1}$ lies within the range of 124 GeV to 126 GeV. (a) to (e) display the results of signal strengths $\mu_{NP}^{\gamma\gamma},\mu_{NP}^{\tau^{+}\tau^{-}},\mu_{NP}^{WW},\mu_{NP}^{ZZ}$ and $\mu_{NP}^{b\bar{b}}$ respectively, where $\tan \beta$ on the horizontal axis and the normalized signal strength for various decay channels on the vertical axis. The dark gray shaded areas represent the experimental 1$\sigma$ range, and the light gray areas represent the experimental 2$\sigma$ range. (f) displays the relationship between the mixing matrix elements $\tan\beta$ and $|Z^{H}_{12}|^2$ for the two Higgs bosons. The gray points denote values of $m_{h_1}$ within the range of 124 to 126 GeV, while the black points correspond to masses of $m_{h_1}$ in the interval of 122 to 128 GeV.
• Figure 3: The left panel (a) shows the negative doubly charged Higgs mass square as a function of $\tan \beta_R$ at the tree level, while the right panel (b) illustrates the doubly charged Higgs mass as a function of $h_{RR}$ after incorporating one-loop effective potential corrections.
• Figure 4: (a) and (b) show the lightest and second-lightest CP-even Higgs bosons masses versus $\tan\beta$ respectively. (c), (e) and (g) display the dependence of the lightest CP-even Higgs-boson mass on $v_{R1}$, while (d), (f) and (h) illustrate the corresponding variation of the second-lightest CP-even Higgs-boson mass with $v_{R1}$. In (a),(c), (e) and (g), the horizontal gray band marks the $94$-$96\,\text{GeV}$ mass window, and in (b),(d), (f) and (h), the horizontal gray band represents the $3\sigma$ interval of Eq. (\ref{['mhhh']}).
• Figure 5: (a) to (e) present the signal strength of the 125 GeV Higgs boson in different decay channels as a function of the right-handed Higgs vacuum expectation value $v_{R1}$, with the dark and light gray regions indicating the $1\sigma$ and $2\sigma$ experimental ranges, respectively. Plot (f) shows the 95 GeV Higgs boson signal strengths of $\gamma\gamma$ ($\mu_{{\rm NP}_{95}}^{\gamma\gamma}$) and $b\bar{b}$ ($\mu_{{\rm NP}_{95}}^{b\bar{b}}$) decay channels. Gray and black points denote benchmarks with the next-to-lightest Higgs mass in 124-126 GeV and 122-128 GeV, respectively.