B → K ∗ ν ν ¯ B→ K( )ν ν̄ decays in the Standard Model and beyond

We present an analysis of the rare exclusive B decays B K and B K * within the Standard Model (SM), in a model-independent manner, and in a number of new physics (NP) models. Combining new form factor determinations from lattice QCD with light-cone sum rule results and including complete two-loop electroweak corrections to the SM Wilson coefficient, we obtain the SM predictions BR(B + K + ) = (4.0 0.5) 10 -6 and BR(B 0 K * 0 ) = (9.2 1.0) 10 -6 , more precise and more robust than previous estimates. Beyond the SM, we make use of an effective theory with dimension-six operators invariant under the SM gauge symmetries to relate NP effects in b s transitions to b s + -transitions and use the wealth of experimental data on B K ( * ) + -and related modes to constrain NP effects in B K ( * ) . We then consider several specific NP models, including Z models, the MSSM, models with partial compositeness, and leptoquark models, demonstrating that the correlations between b s observables among themselves and with B s + -and b s + -transitions offer powerful tests of NP with new right-handed couplings and non-MFV interactions.