Flavor-tuned 125 GeV supersymmetric Higgs boson at the LHC: Test of minimal and natural supersymmetric models

Abstract

We show that an enhanced two-photon signal of the Higgs boson, $h$, observed with 125 GeV mass by the ATLAS and CMS collaborations, can be obtained if it is identified principally with the neutral ${H}_{u}^{0}$ of the two Higgs doublets of minimal supersymmetry. We focus on sparticles and the pseudoscalar Higgs $A$ with TeV masses. The off-diagonal element of the (${H}_{u}^{0}$,${H}_{d}^{0}$) mass matrix in the flavor basis must be suppressed, and this requires a large Higgsino mass parameter, $\ensuremath{\mu}\ensuremath{\sim}\text{ }\mathrm{TeV}$, and large $\mathrm{tan}\ensuremath{\beta}$. A minimal supersymmetric Standard Model sum rule is derived that relates $\ensuremath{\gamma}\ensuremath{\gamma}$ and $b\overline{b}$ rates, and a $\ensuremath{\gamma}\ensuremath{\gamma}$ enhancement relative to the SM predicts $b\overline{b}$ reduction. On the contrary, natural supersymmetry requires $|\ensuremath{\mu}|<\ensuremath{\sim}0.5\text{ }\text{ }\mathrm{TeV}$, for which $\ensuremath{\gamma}\ensuremath{\gamma}$ is reduced and $b\overline{b}$ is enhanced. This conclusion is independent of the ${m}_{A}$ value and the supersymmetry quantum correction ${\ensuremath{\Delta}}_{b}$. Relative $\ensuremath{\tau}\overline{\ensuremath{\tau}}$ to $b\overline{b}$ rates are sensitive to ${\ensuremath{\Delta}}_{b}$.