Sensitivity of LHCb and its upgrade in the measurement of $\mathcal B(K_S^0\rightarrow\pi^0\mu^+\mu^-)$

The sensitivity of the LHCb experiment to $\mathcal B(K_S^0\rightarrow\pi^0\mu^+\mu^-)$ is analyzed in light of the 2011, 2012 and 2016 data and the oportunities the full software trigger of the LHCb upgrade provides. 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. Both approaches could be statistically combined, further improving the result.