A model-independent analysis of $b \to s \mu^{+} \mu^{-}$ transitions with GAMBIT's FlavBit

The search for flavour-changing neutral current effects in $B$-meson decays is a powerful probe of physics beyond the Standard Model. Deviations from SM behaviour are often quantified by extracting the preferred values of the Wilson coefficients of an operator product expansion. We use the FlavBit module of the GAMBIT package to perform a simultaneous global fit of the Wilson coefficients $C_7$, $C_9$, and $C_{10}$ using a combination of all current data on $b \to s \mu^{+} \mu^{-}$ transitions, including recently-updated $B_d \to K^{*0} \mu^{+} \mu^{-}$ results from the LHCb collaboration. We further extend previous analyses by accounting for the correlated theoretical uncertainties at each point in the Wilson coefficient parameter space, rather than deriving the uncertainties from a Standard Model calculation. We find that the best fit deviates from the SM value with a significance of 6.0$\sigma$. The largest deviation is associated with a vector coupling of muons to $b$ and $s$ quarks.