Abstract

In this short presentation I emphasize the increased importance of kaon flavour physics in the search for new physics (NP) that we should witness in the rest of this decade and in the next decade. The main actors will be the branching ratios for the rare decays and , to be measured by NA62 and KOTO, and their correlations with the ratio ε′/ε on which recently progress by lattice QCD and large N dual QCD approach has been made implying a new flavour anomaly. Further correlations of , and ε′/ε with εK, ΔMK, KL → μ+ μ− and will help us to identify indirectly possible NP at short distance scales. This talk summarizes the present highlights of this facinating field including some results from concrete NP scenarios.

Highlights

  • In three recent reports [1, 2, 3] I have stressed the increased importance of kaon flavour physics in the search for new physics (NP) which we should witness in the near future

  • After years of silence I expect that kaon flavour physics will strike back providing new insights in the dynamics at very short distance scales

  • Lesson 9: For fixed values of the neutrino and diagonal quark couplings in ε /ε the predicted enhancements of B(KL → π0νν) and B(K+ → π+νν) are much larger when NP in QCD penguin operators (QCDP) is required to remove the ε /ε anomaly than it is the case of electroweak penguins (EWP)

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Summary

Introduction

In three recent reports [1, 2, 3] I have stressed the increased importance of kaon flavour physics in the search for new physics (NP) which we should witness in the near future. Interesting correlations between K+ → π+ννand KL → π0ννand various observables are found in simplified models with flavour violating couplings of the SM Z and of a heavy Z In the simplest NP scenarios with tree-level Z and Z exchanges, the imaginary parts of flavour-violating Z or Z couplings to quarks are determined as functions of κε .

Results
Conclusion

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