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The seek of high precision analyses in $\gamma$-ray astronomy leads to theimplementation of multivariate combination, benefiting from severalreconstruction methods. Such analysis, called $X_{eff}$, was developed for theH.E.S.S. data using three shower reconstruction methods. This paper presentsthe improvement granted to this analysis by refining the distributioncalculation of discriminant variables, considering observation conditions, andadding new variables in the $X_{eff}$ combination. The efficiency of theanalysis is presented using simulations and real data. A comparison with thestandard analysis (model++), for a typical set of sources, shows a significantgain in sensitivity.

Xeff analysis method optimization to enhance IACTs performances