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We perform a model-independent global fit to b → s + − observables to confirm existing New Physics (NP) patterns (or scenarios) and to identify new ones emerging from the inclusion of the updated LHCb and Belle measurements of RK and RK * , respectively. Our analysis, updating Refs. [1,2] and including these new data, suggests the presence of right-handed couplings encoded in the Wilson coefficients C 9 µ and C 10 µ . It also strengthens our earlier observation that a lepton flavour universality violating (LFUV) left-handed lepton coupling (C V 9µ = −C V 10µ ), often preferred from the model building point of view, accommodates the data better if lepton-flavour universal (LFU) NP is allowed, in particular in C U 9 . Furthermore, this scenario with LFU NP provides a simple and model-independent connection to the b → cτ ν anomalies, showing a preference of ≈ 7 σ with respect to the SM. It may also explain why fits to the whole set of b → s + − data or to the subset of LFUV data exhibit stronger preferences for different NP scenarios. Finally, motivated by Z models with vector-like quarks, we propose four new scenarios with LFU and LFUV NP contributions that give a very good fit to data. PACS numbers: 13.25.Hw, 11.30.Hv R [15,19] K * = 1.18 +0.52 −0.32 ± 0.10 . Our treatment for the Belle observables within the global fit follows the same strategy as described in Ref. [1] for arXiv:1903.09578v4 [hep-ph]

We employ a mathematical framework based on rational approximants in order to calculate the pseudoscalar-pole piece of the hadronic light-by-light contribution to the anomalous magnetic moment of the muon, a HLbL;P µ . The method is systematic and data based, profiting from over 13 different collaborations, and able to ascribe, for the first time, a systematic uncertainty which provides for the model independence. As a result, we obtain a HLbL;P µ = 94.3(5.3) × 10 −11 , which uncertainty is well below the one foreseen at future experiments measuring the (gµ − 2).