Data-driven analyses and model-independent fits for present $b\to s\ell \ell$ results

Abstract

We present a critical assessment of the present $B$ anomalies in the exclusive $b\to s\ell \ell$ mode based on the QCD factorisation (QCDf) approach. In particular, we analyse the impact of different local form factor calculations and of the largest bin in the low-$q^2$ region. We also present a model-independent analysis of the new results of the LHCb and CMS experiments on the $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ angular observables. In addition, we update the global fit by including all $b\to s$ observables incorporating the new data from CMS and LHCb. In these analyses, we use 10% or higher guesstimates of the non-factorisable power corrections as additional uncertainties, serving as a placeholder for robust estimates of these contributions. Updating earlier results, we also analyse the combined LHCb and CMS data on the $B\to K^{\ast }{\mu }^{+}{\mu }^{-}$ angular observables using data-driven approaches to find indications whether these tensions between the QCDf predictions and the present data are due to underestimated subleading hadronic contributions or due to new physics effects.

37 pages, 12 figures, 16 tables. v2: updated with the LHCb 2025 results for B to K* mumu

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