GUT-Inspired Supersymmetric Model for h\rightarrow \gamma \gamma and Muon g-2

TL;DR

This paper proposes a GUT-inspired supersymmetric model that explains the muon g-2 anomaly and modifies the Higgs to diphoton decay rate, predicting light sleptons and heavy colored sparticles, with implications for collider searches.

Contribution

It introduces a non-universal gaugino mass SUSY model that simultaneously addresses muon g-2 and Higgs decay anomalies, with specific mass spectrum predictions.

Findings

Light sleptons (100-200 GeV) can enhance h→γγ decay rate.

Heavy colored sparticles (g̃ > 4.5 TeV) are predicted, challenging LHC detection.

Model accommodates muon g-2 within current experimental constraints.

Abstract

We study a GUT-inspired supersymmetric model with non-universal gaugino masses that can explain the observed muon g-2 anomaly while simultaneously accommodating an enhancement or suppression in the h \rightarrow\gamma\gamma decay channel. In order to accommodate these observations and m_h \simeq 125-126 GeV, the model requires a spectrum consisting of relatively light sleptons whereas the colored sparticles are heavy. The predicted stau mass range corresponding to R_{\gamma \gamma}\ge 1.1 is 100 {\rm \ GeV} \lesssim m_{\tilde{\tau}} \lesssim 200 {\rm \ GeV}. The constraint on the slepton masses, particularly on the smuons, arising from considerations of muon g-2 is somewhat milder. The slepton masses in this case are predicted to lie in the few hundred GeV range. The colored sparticles turn out to be considerably heavier with m_{\tilde{g}} \gtrsim 4.5 {\rm \ TeV} and m_{\tilde{t}_1} \gtrsim 3.5 {\rm \ TeV}, which makes it challenging for these to be observed at the 14 TeV LHC.