Rare and CP-Violating K and B Decays in the Littlest Higgs Model with T-Parity
arXiv:hep-ph/0610298 · doi:10.1088/1126-6708/2007/01/066
Abstract
We calculate the most interesting rare and CP-violating K and B decays in the Littlest Higgs model with T-parity. We give a collection of Feynman rules including v^2/f^2 contributions that are presented here for the first time and could turn out to be useful also for applications outside flavour physics. We adopt a model-independent parameterization of rare decays in terms of the gauge independent functions X_i,Y_i,Z_i (i=K,d,s), which is in particular useful for the study of the breaking of the universality between K, B_d and B_s systems through non-MFV interactions. Performing the calculation in the unitary and 't Hooft-Feynman gauge, we find that the final result contains a divergence which signals some sensitivity to the ultraviolet completion of the theory. Including an estimate of this contribution, we calculate the branching ratios for the decays , , , , and , paying particular attention to non-MFV contributions present in the model. Imposing all available constraints we find that the decay rates for and can be enhanced by at most 50% and 35% relative to the SM values, while and can be both as high as . Significant enhancements of the decay rates are also possible. Simultaneously, the CP-asymmetries and can be enhanced by an order of magnitude, while the electroweak penguin effects in turn out to be small, in agreement with the recent data.
65 pages, 19 figures. Note added on omitted term in Z-penguin contribution. For an updated analysis see arXiv:0906.5454
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