Correlations between epsilon'/epsilon and Rare K Decays in the Littlest Higgs Model with T-Parity

Details Correlations between epsilon'/epsilon and Rare K Decays in the Littlest Higgs Model with T-Parity Correlations between epsilon'/epsilon and Rare K Decays in the Littlest Higgs Model with T-Parity

2007-04-25

arxiv.org/abs/0704.3329v3

JHEP 0706:082,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

21 pages, 4 figures, 3 tables. Note added on the omitted term in Z-penguin contribution. For an updated analysis see arXiv:090

Scientific paper

10.1088/1126-6708/2007/06/082

We calculate the CP-violating ratio epsilon'/epsilon in the Littlest Higgs model with T-parity (LHT) and investigate its correlations with the branching ratios for K_L -> pi^0 nu {bar nu}, K_L -> pi^0 l^+ l^- and K^+ -> pi^+ nu {bar nu}. The resulting correlations are rather strong in the case of K_L decays, but less pronounced in the case of K^+ -> pi^+ nu {bar nu}. Unfortunately, they are subject to large hadronic uncertainties present in epsilon'/epsilon, whose theoretical prediction in the Standard Model (SM) is reviewed and updated here. With the matrix elements of Q_6 (gluon penguin) and Q_8 (electroweak penguin) evaluated in the large-N limit and m_s^MS(2 GeV) = 100 MeV from lattice QCD, (epsilon'/epsilon)_SM turns out to be close to the data so that significant departures of Br(K_L -> pi^0 nu {bar nu}) and Br(K_L -> pi^0 l^+ l^-) from the SM expectations are unlikely, while Br(K^+ -> pi^+ nu {bar nu}) can be enhanced even by a factor 5. On the other hand, modest departures of the relevant hadronic matrix elements from their large-N values allow for a consistent description of epsilon'/epsilon within the LHT model accompanied by large enhancements of Br(K_L -> pi^0 nu {bar nu}) and Br(K_L -> pi^0 l^+ l^-), but only modest enhancements of Br(K^+ -> pi^+ nu {bar nu}).

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