Upper Bounds on Rare K and B Decays from Minimal Flavour Violation

Abstract

We study the branching ratios of rare K and B decays in models with minimal flavour violation, using the presently available information from the universal unitarity triangle analysis and from the measurements of Br(B -> X_s gamma), Br(B -> X_s l^+l^-) and Br(K^+ -> pi^+ nu nubar). We find the following upper bounds: Br(K^+ -> pi^+ nu nubar)< 11.9 10^{-11}, Br(K_L -> pi^0 nu nubar)< 4.6 10^{-11}, Br(K_L -> mu mubar)_{SD}< 1.4 10^{-9}, Br(B -> X_s nu nubar)< 5.2 10^{-5}, Br(B -> X_d nu nubar)< 2.2 10^{-6}, Br(B_s -> mu mubar)< 7.4 10^{-9}, Br(B_d -> mu mubar)< 2.2 10^{-10} at 95 % probability. We analyze in detail various possible scenarios with positive or negative interference of Standard Model and New Physics contributions, and show how an improvement of experimental data corresponding to the projected 2010 B factory integrated luminosities will allow to disentangle and test these different possibilities. Finally, anticipating that subsequently the leading role in constraining this kind of new physics will be taken over by the rare decays K^+ -> pi^+ nu nubar, K_L -> pi^0 nu nubar and B_{s,d} -> mu mubar, that are dominated by the Z^0 -penguin function C, we also present plots for several branching ratios as functions of C . We point out an interesting triple correlation between K^+ -> pi^+ nu nubar, B -> X_s gamma and B -> X_s l^+l^- present in MFV models.

26 pages, 12 figures

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• Anti-B --> X(s) gamma in two universal extra dimensions
• Searching for New Physics in b to s Hadronic Penguin Decays
• Kaon Mixing Beyond the SM from Nf=2 tmQCD and model independent constraints from the UTA
• Current and Future Limits on General Flavour Violation in b-->s Transitions in Minimal Supersymmetry
• Rare decays and CP violation beyond the Standard Model
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• Investigating The Physics Case of Running a B-Factory at the Y(5S) Resonance
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• Testing the CKM Picture of Flavour and CP Violation in Rare K and B Decays and Particle-Antiparticle Mixing
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• Implication of Higgs mediated Flavour Changing Neutral Currents with Minimal Flavour Violation