Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2006-07-17
JHEP 0611:062,2006
Physics
High Energy Physics
High Energy Physics - Phenomenology
39 pages, 8 figures, typos corrected, comment on (2.17) and (2.18) added, references added, results unchanged
Scientific paper
10.1088/1126-6708/2006/11/062
We analyze rare K and B decays in the Littlest Higgs (LH) model without T-parity. We find that the final result for the Z^0-penguin contribution contains a divergence that is generated by the one-loop radiative corrections to the currents corresponding to the dynamically broken generators. Including an estimate of these logarithmically enhanced terms, we calculate the branching ratios for the decays K^+ -> pi^+ nu bar nu, K_L -> pi^0 nu bar nu, B_{s,d} -> mu^+ mu^- and B -> X_{s,d} nu bar nu. We find that for the high energy scale f=O(2-3) TeV, as required by the electroweak precision studies, the enhancement of all branching ratios amounts to at most 15% over the SM values. On the technical side we identify a number of errors in the existing Feynman rules in the LH model without T-parity that could have some impact on other analyses present in the literature. Calculating penguin and box diagrams in the unitary gauge, we find divergences in both contributions that are cancelled in the sum except for the divergence mentioned above.
Bardeen William A.
Buras Andrzej J.
Poschenrieder Anton
Uhlig Selma
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