B→K(∗)ννˉB\to K^{(*)}ν\barν decays in the Standard Model and beyond

preprint2014arXivOpen access

Abstract

We present an analysis of the rare exclusive BB decays B→KννˉB\to Kν\barν and B→K∗ννˉB\to K^{*}ν\barν 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+ννˉ)=(4.0±0.5)×10−6\text{BR}(B^+\to K^+ν\barν) = (4.0 \pm 0.5) \times 10^{-6} and BR(B0→K∗0ννˉ)=(9.2±1.0)×10−6\text{BR}(B^0\to K^{* 0}ν\barν) = (9.2\pm1.0) \times 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→sννˉb\to sν\barν transitions to b→sℓ+ℓ−b\to s\ell^+\ell^- transitions and use the wealth of experimental data on B→K(∗)ℓ+ℓ−B\to K^{(*)}\ell^+\ell^- and related modes to constrain NP effects in B→K(∗)ννˉB\to K^{(*)}ν\barν. We then consider several specific NP models, including Z′Z' models, the MSSM, models with partial compositeness, and leptoquark models, demonstrating that the correlations between b→sννˉb\to sν\barν observables among themselves and with Bs→μ+μ−B_s\toμ^+μ^- and b→sℓ+ℓ−b\to s\ell^+\ell^- transitions offer powerful tests of NP with new right-handed couplings and non-MFV interactions.

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