Abstract

We discuss the implications of the recently reported and anomalies, the lepton flavor non-universality in the and decay channels. Using two sets of hadronic inputs of form factors, we perform a fit of new physics to the and data, and significant new physics contributions are found. We suggest the study of lepton flavor universality in a number of related rare and decay channels, and in particular we give predictions for the -to-e ratios of decay widths with different polarizations of the final state particles, and of the processes, which are presumably more sensitive to the structure of the underlying new physics. With the new physics contributions embedded in the Wilson coefficients, we present theoretical predictions for lepton flavor non-universality in these processes.

Highlights

  • The standard model (SM) of particle physics is completed by the discovery of Higgs boson

  • Due to the small branching fractions in the SM, rare decays of heavy mesons can provide a rich laboratory to search for effects of physics beyond the SM

  • The Vub and Vcb puzzles refer to the difference for the CKM matrix elements extracted from the exclusive and inclusive decay modes

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Summary

INTRODUCTION

The standard model (SM) of particle physics is completed by the discovery of Higgs boson. The b → sl+l− process is a flavor changing neutral current (FCNC) transition This process is of special interest since it is induced by loop effects in the SM, which leads to tiny branching fractions. The LHCb experiment has first observed the so-called P5′ anomaly, a sizeable discrepancy at 3.7 σ between the measurement and the SM prediction in one bin for the angular observable P5′ [22]. This discrepancy was reproduced in a later LHCb analysis for the two adjacent bins at large K∗ recoil [23]. These interesting results have subsequently attracted many theoretical attentions [36,37,38,39,40,41,42,43,44,45,46,47,48,49,50,51,52,53,54,55,56,57,58,59]

Experimental data
The helicity amplitudes are given by
CONCLUSIONS

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