Constraints on Scalar Leptoquark from Kaon Sector

Recently, several anomalies in flavor physics have been observed, and it was noticed that leptoquarks might account for the deviations from the Standard Model. In this work, we examine the effects of new physics originating from a scalar leptoquark model on the kaon sector. The leptoquark we consider is a TeV-scale particle and within the reach of the LHC. We use the existing experimental data on the several kaon processes including $K^{0}-\bar{K}^{0}$ mixing, rare decays $K^{+} \rightarrow \pi^{+} \nu \bar{\nu}$, $ K_L \rightarrow \pi^0 \nu \bar{\nu}$, short-distance part of $K_L\rightarrow \mu^{+}\mu^{-}$, and lepton-flavor-violating decay $K_L\rightarrow \mu^{\pm} e^{\mp}$ to obtain useful constraints on the model.