  Motivated by the observed excess of the di-photon signal in Higgs searches,
$\sigma_{\gamma\gamma}/\sigma_{\rm SM}\simeq 1.5$, we argue that models with
enhanced $\Gamma(h\to \gamma\gamma)$ alone are the most favorable scenarios
when the latest LHC/Tevatron results are all taken into account. We study the
phenomenology of a supersymmetric scenario of light stau first proposed by
\textit{Carena et. al. \cite{carlos}} that predicts a 125 GeV SM-like Higgs
boson with enhanced diphoton decay through light stau loops. Since it is
extremely challenging to search the Drell-Yan stau pair at the LHC due to the
small production rate, we focus on the parameter space with enhanced production
of inclusive stau pairs, in particular, via $b\bar{b}$ fusion or gaugino pairs.
We study its phenomenology in both pure leptonic tau $\tau^\pm_\ell$ channels
and hadronic tau tagged $\tau_h$ channels. We find the same-sign dilepton from
$\tilde{\chi}^\pm_1 \tilde{\chi}^0_2 \to \tau^\pm_\ell \tau^\pm_\ell+X$ may
significantly improve the discovery potential with even 7--8 TeV LHC of ${\cal
O}(30 \text{fb}^{-1})$ data. In the case of hadronic tau pair, we use the final
state $j+\tau_h \tau_h +\cancel{E}_T$ to search and find that even with the
most optimistic region of $M_2\sim 200-300$ GeV, it requires at least 50
fb$^{-1}$ data of 14 TeV LHC to reach a significance of 3.5 $\sigma$.
Therefore, we conclude it is difficult to claim discovery only through hadronic
tau based on the data by the 2012 shut-down. 5 $\sigma$ reach for our most
optimistic region then requires 100 fb$^{-1}$ data with 14 TeV running.
