Abstract

Recent results from the LHC’s first run have revealed intriguing departures from lepton flavour universality in the semi-leptonic decays of B-mesons. We discuss the complementary role that rare kaon decays can provide in testing new physics explanations of these flavour anomalies. In the framework of minimal flavour violation, we relate the chiral low-energy constants involved in and with the new physics Wilson coefficients of the b → s effective Hamiltonian. We comment on the determination of these low-energy constants at NA62 and future kaon experiments, as well as the required improvements in sensitivity necessary to test the B-physics anomalies in the kaon sector.

Highlights

  • With the completion of Run 1 at the LHC, we find ourselves with several indirect hints that physics beyond the Standard Model (SM) may be lurking in the semi-leptonic decays of Bmesons

  • Each deviation is at most a 3σ effect; when combined with other b → s transitions, global fits [8, 9] indicate that (a) new physics (NP) is preferred over the SM by 4–5σ, and (b) the effect is in the μμ modes only

  • We find that the improvement required to obtain competitive bounds on C1B0 is of similar magnitude to what we found in the analysis of C9B in K+ → π+l+l−

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Summary

Introduction

With the completion of Run 1 at the LHC, we find ourselves with several indirect hints that physics beyond the Standard Model (SM) may be lurking in the semi-leptonic decays of Bmesons. A 2.6σ signal of lepton flavour universality violation (LFUV) in the measured [1] branching fractions of B → Kl+l− decays (l = μ or e);

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