The CMS experiment is a general purpose detector optimized for the search of the Higgs boson at the LHC over a mass range from 90 GeV to 1 TeV. This study concentrates on the discovery potential of a supersymmetric (MSSM) Higgs boson in the CMS experiment at the LHC in the decay channel $H_{SUSY}\rightarrow\tau\tau\rightarrow e\mu+X$. If nature is supersymmetric, Higgs decaying into tau leptons is potentially one of the most important channels for making the discovery.
The expected MSSM (m$_A$,tan$\beta$) parameter space coverage and SUSY effects in it are probed for different scalar top mixing scenarios. For this particular channel the SUSY effects are found to be small. With high enough luminosity and combining different decay channels the whole (m$_A$,tan$\beta$) parameter space is expected to be covered guaranteeing the Higgs discovery if a fundamental Higgs boson exists with mass below the TeV energy scale.