Dimension-7 operators in the b → s transition

We extend the low-energy effective field theory relevant for b -> s transitions up to operators of mass dimension seven and compute the associated anomalous-dimension matrix. We then compare our findings to the known results for dimension-six operators and derive a solution for the renormalization group equations involving operators of dimension seven. We finally apply our analysis to a particularly simple case where the Standard Model is extended by an electroweak-magnetic operator and consider limits on this scenario from the decays B-s -> mu(+)mu(-) and B -> K nu(nu) over bar.