Abstract

The lepton universality violating flavor ratios RK/RK⁎ indicate new physics either in b→sμ+μ− or in b→se+e− or in both. If the new physics is only b→se+e− transition, the corresponding new physics operators, in principle, can have any Lorentz structure. In this work, we perform a model independent analysis of new physics only in b→se+e− decay by considering effective operators either one at a time or two similar operators at a time. We include all the measurements in b→se+e− sector along with RK/RK⁎ in our analysis. We show that various new physics scenarios with vector/axial-vector operators can account for RK/RK⁎ data but those with scalar/pseudoscalar operators and with tensor operators can not. We also show that the azimuthal angular observable P1 in B→K⁎e+e− decay is most suited to discriminate between the different allowed solutions.

Highlights

  • The current measurements in b → s + − ( = e, μ) sector show some significant tensions with the predictions of the Standard Model (SM)

  • In 2014, the LHCb collaboration reported the first measurement of the ratio RK ≡ Γ(B+ → K+μ+μ−)/Γ(B+ → K+e+e−) in the di-lepton invariant mass-squared, q2, range 1.1 ≤ q2 ≤ 6.0 GeV2 [1]

  • The effects of possible new physics (NP) are encoded in the Wilson coefficients (WCs) of effective operators with different Lorentz structures

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Summary

INTRODUCTION

The current measurements in b → s + − ( = e, μ) sector show some significant tensions with the predictions of the Standard Model (SM) These include measurements of the lepton flavor universality (LFU) violating ratios RK and RK∗ by the LHCb collaboration. There are a few anomalous measurements which are related to possible NP in b → sμ+μ− transition only These include measurements of angular observables, in particular P5, in B → K∗ μ+ μ− decay [8,9,10] and the branching ratio of Bs → φ μ+ μ− [11]. We consider this possibility and perform a model independent analysis with NP restricted to b → se+e− sector 2 In this scenario, we need the NP operators to increase the denominators of RK and RK∗.

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