Standard Model correlations between K -> πν\barνdecays and observables in B Physics
Abstract
The Standard Model makes definite predictions for the rates of the K_L -> \pi^0 \nu \bar\nu and K^+ -> \pi^+ \nu \bar\nu decays and their ratio a_{\pi \nu \bar\nu}. Also certain observables related to B Physics like the CP asymmetries a_{\psi K_S} in B^0_d -> J/\psi K_S and a_{\psi \phi} in B^0_s -> J/\psi \phi or the mass differences \Delta m_q (q=d,s) in the B^0_q-\bar B^0_q systems can be calculated within the Standard Model. We update the currently allowed intervals for the various observables and investigate the correlations between them. The strongest correlations are between i) a_{\pi \nu \bar\nu} and a_{\psi K_S}, ii) BR(K^+ \to \pi^+ \nu \bar\nu) and \Delta m_d/\Delta m_s and iii) BR(K_L -> \pi^0 \nu \bar\nu) and a_{\psi\phi}. These correlations are likely to be violated in the presence of New Physics and therefore provide stringent tests of the Standard Model.Keywords
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