Measuring the CP asymmetry in the decay $D^0 \rightarrow K^0_SK^0_S$ using Run II data at LHCb.

A sensitivity study for the measurement of $CP$ asymmetry in the decay $D^0 \rightarrow K^0_{S}K^0_{S}$ has been performed using $pp$ collision data collected by the LHCb experiment during Run II at center-of-mass energy $\sqrt{s} =13 \ TeV$. The results indicate that an improvement of a factor of at least three in efficiency is necessary to achieve a world's best precision on $\mathcal{A}_{CP}$. A proposed set of changes to the trigger selection for this channel is presented. If implemented these changes would increase the signal yield per unit of integrated luminosity by a factor of six, and therefore place LHCb in the position to perform the world's most precise measurement of $\mathcal{A}_{CP}$($D^0 \rightarrow K^0_{S}K^0_{S}$).