Rare and CP-Violating K and B Decays in the Littlest Higgs Model with T-Parity

By M. Blanke, Andrzej Buras, A. Poschenrieder, S. Recksiegel, C. Tarantino, S. Uhlig, A. Weiler. 2006

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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 modelindependent parameterization of rare decays in terms of the gauge independent functions Xi; Yi; Zi (i = K;d;s), which is in particular useful for the study of the breaking of the universality between K, Bd and Bs 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 K + ! � + �¯ �, KL ! � 0 �¯, Bs;d ! � + � − , B ! Xs;d�¯ �, KL ! � 0 ` + ` − and B ! Xs;d` + ` − , paying particular

Subfields: Nuclear and High Energy Physics, Political Science and International Relations

View Paper: https://www.semanticscholar.org/paper/42c931034a77210a4ab475ab6f374269c8eb49a7

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Citations in the corpus

ΔF = 2 observables and fine-tuning in a warped extra dimension with custodial protection (2008, methodology): “revealing that the simplified error analysis of [47, 72] did not have a qualitative impact on the results obtained.”
Electroweak and Flavour Structure of a Warped Extra Dimension with Custodial Protection (2009, background): “he MFV relations between ∆Ms,d and Br(Bs,d→ µ+µ−) and between SψK S and the K→ πν¯ν decay rates are possible. The pattern of deviations from the SM diﬀers from the deviations found in the LHT model [54]. It is interesting that in spite of many new ﬂavour parameters present in this model a clear pat”
Patterns of flavour violation in the presence of a fourth generation of quarks and leptons (2010, methodology): “Next, it is useful, as in the case of the LHT model [32], to generalise the real and universal Inami-Lim functions in the SM3, as introduced in [58], to complex and nonuniversal functions (i = K, d, s) Si ≡ |Si|e i S , X i ≡ ∣∣X` i ∣∣ eiθi` X , Yi ≡ |Yi| eiθi Y , Zi ≡ |Zi| eiθi Z , (4.”
Rare K and B Decays in a warped extra dimension with custodial protection (2008, methodology): “elevant. Therefore, since the dipole operator in Heﬀ(b→sγ) does not contribute to this decay, the only operator contributing to Bd,s→µ+µ− is the SM (V−A)⊗(V−A) one, and the formulae of Section 3.4 of [33] can be applied here with Yq replaced by YV−A q (q= d,s), where YV−A q can be obtained from (3.2”
Anatomy and phenomenology of FCNC and CPV effects in SUSY theories (2009, methodology): “Let us first recall that the LHT and RS models contain new sources of flavour and CP violation but while in the LHT model the operator structure in the effective weak Hamiltonians is the same as in the SM [17, 72, 73], in the RS model new operators are present [15, 16].”