Correlations of $ε^{\prime}_K/ε_K$ with $K \to πν\overlineν$ in Models of New Physics

Abstract

Recent calculations have pointed to a 2.8 $σ$ tension between data on $ε^{\prime}_K / ε_K$ and the standard-model (SM) prediction. Several new physics (NP) models can explain this discrepancy, and such NP models are likely to predict deviations of $\mathcal{B}(K\to πν\overlineν)$ from the SM predictions, which can be probed precisely in the near future by NA62 and KOTO experiments. We present correlations between $ε^{\prime}_K / ε_K$ and $\mathcal{B}(K\to πν\overlineν)$ in two types of NP scenarios: a box dominated scenario and a $Z$-penguin dominated one. It is shown that different correlations are predicted and the future precision measurements of $K \to πν\overlineν$ can distinguish both scenarios.

4 pages, 2 figures; Contribution to proceedings of 52th Rencontres de Moriond electroweak interactions and unified theories, La Thuile, Italy, 18-25 March, 2017; references added