Prospects for the search of $K_{S}^{0} \to \pi^{0}\mu^{+}\mu^-$ at LHCb

The sensitivity of the LHCb experiment to is analyzed in light of the 2011, 2012 and 2016 data and the oportunity of having a full software trigger with the LHCb upgrade. Two strategies are considered: the full reconstruction of the decay products and the partial reconstruction using only the dilepton pair and kinematic constraints. In both cases, the sensitivity achieved can surpass the world's current best measurement. Both approaches could be statistically combined to further improve the result