Abstract

Depending on the assumptions on the power corrections to the exclusive b→sℓ+ℓ− decays, the latest data of the LHCb Collaboration – based on the 3 fb−1 data set and on two different experimental analysis methods – still shows some tensions with the Standard Model predictions. We present a detailed analysis of the theoretical inputs and various global fits to all the available b→sℓ+ℓ− data. This constitutes the first global analysis of the new data of the LHCb Collaboration based on the hypothesis that these tensions can be at least partially explained by new physics contributions. In our model-independent analysis we present one-, two-, four-, and also five-dimensional global fits in the space of Wilson coefficients to all available b→sℓ+ℓ− data. We also compare the two different experimental LHCb analyses of the angular observables in B→K⁎μ+μ−. We explicitly analyse the dependence of our results on the assumptions about power corrections, but also on the errors present in the form factor calculations. Moreover, based on our new global fits we present predictions for ratios of observables which may show a sign of lepton non-universality. Their measurements would crosscheck the LHCb result on the ratio RK=BR(B+→K+μ+μ−)/BR(B+→K+e+e−) in the low-q2 region which deviates from the SM prediction by 2.6σ.

Highlights

  • The LHCb collaboration has recently presented the angular analysis of the B0 → K∗0μ+μ− decay with the 3 fb−1 data set

  • There had been more, yet smaller tensions with the Standard Model (SM) predictions in other observables. This announcement was followed by a large number of theoretical analyses showing that, due to the large hadronic uncertainties in exclusive modes, it is not clear at all whether this anomaly is a first sign for new physics beyond the SM or a consequence of underestimated hadronic power corrections or just a statistical fluctuation [4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22]

  • There is a theoretical description of power corrections; they can be calculated or at least estimated within the theoretical approach

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Summary

Introduction

The LHCb collaboration has recently presented the angular analysis of the B0 → K∗0μ+μ− decay with the 3 fb−1 data set. A new analysis on the angular observables in Bs → φμ+μ− has been presented [2] These new analyses of the LHCb collaboration have been eagerly awaited in view of the previous LHCb analysis of the B0 → K∗0μ+μ− based on the 1 fb−1 data set [3]. This announcement was followed by a large number of theoretical analyses showing that, due to the large hadronic uncertainties in exclusive modes, it is not clear at all whether this anomaly is a first sign for new physics beyond the SM or a consequence of underestimated hadronic power corrections or just a statistical fluctuation [4,5,6,7,8,9,10,11,12,13,14,15,16,17,18,19,20,21,22]

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