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Theory uncertainties on non-local hadronic effects limit the New Physicsdiscovery potential of the rare decays $B\to K^*\mu^+\mu^-$. We investigateprospects to disentangle New Physics effects in the short-distance coefficientsfrom these effects. Our approach makes use of an event-by-event amplitudeanalysis, and relies on the state of the art parametrisation of the non-localcontributions. We find that non-standard effects in the short-distancecoefficients can be successfully disentangled from non-local hadronic effects.The impact of the truncation on the parametrisation of non-local contributionsto the Wilson coefficients are for the first time systematically examined andprospects for its precise determination are discussed. We find that physicalobservables are unaffected by these uncertainties. Compared to other methods,our approach provides for a more precise extraction of the angular observablesfrom data.

Prospects for disentangling long- and short-distance effects in the decays $B\to K^* \mu^+\mu^-$