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

Abstract

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}).

21 pages, 4 figures, 3 tables. Note added on the omitted term in Z-penguin contribution. For an updated analysis see arXiv:0906.5454

References in corpus (19)

• Big-Bang nucleosynthesis (Particle Data Group mini-review)
• The Cosmological Parameters 2006
• Observation of Bs-Bsbar Oscillations
• Direct Limits on the Bs Oscillation Frequency
• Rare and CP-Violating K and B Decays in the Littlest Higgs Model with T-Parity
• Charm Quark Contribution to K+ -> pi+ nu anti-nu at Next-to-Next-to-Leading Order
• Experimental Tests of Asymptotic Freedom
• Scalar K pi form factor and light quark masses
• Constraints on new physics from the quark mixing unitarity triangle
• Charged Lepton Flavour Violation and (g-2)_mu in the Littlest Higgs Model with T-Parity: a clear Distinction from Supersymmetry
• Another Look at the Flavour Structure of the Littlest Higgs Model with T-Parity
• Cosmic Positron Signature from Dark Matter in the Littlest Higgs Model with T-parity
• Flavor Changing Neutral Current Effects and CP Violation in the Minimal 3-3-1 Model
• Lepton flavour violation in The Little Higgs model
• Estimating the Unquenched Strange Quark Mass from the Lattice Axial Ward Identity
• Exploring twisted mass Lattice QCD with the Clover term
• Higgs--mediated K -> pi nu nu-bar in the MSSM at large tan(beta)
• Systematic effects of the quenched approximation on the strong penguin contribution to epsilon'/epsilon
• Quenched penguins and the Delta I=1/2 rule

Cited by in corpus (28)

• $K^{+}\to {\pi }^{+}\nu \bar{\nu }$ and $K_L\to {\pi }^0\nu \bar{\nu }$ in the Standard Model: Status and Perspectives
• Anatomy and Phenomenology of FCNC and CPV Effects in SUSY Theories
• Flavor Physics in the Quark Sector
• Correlations among new CP violating effects in Delta F = 2 observables
• Lattice QCD inputs to the CKM unitarity triangle analysis
• The Anatomy of Z' and Z with Flavour Changing Neutral Currents in the Flavour Precision Era
• Patterns of Flavour Violation in the Presence of a Fourth Generation of Quarks and Leptons
• On $D\to X_u{l}^{+}{l}^{-}$ within the Standard Model and Frameworks like the Littlest Higgs Model with T Parity
• CP Violation in D0 - anti-D0 Oscillations: General Considerations and Applications to the Littlest Higgs Model with T-Parity
• Ultraviolet divergences of flavor changing amplitudes in the littlest Higgs model with T-parity
• Littlest Higgs Model with T-Parity Confronting the New Data on D^0-\bar D^0 Mixing
• On CP Asymmetries in Two-, Three- and Four-Body D Decays
• Tau and muon lepton flavor violations in the littlest Higgs model with T-parity
• The Anatomy of Neutral Scalars with FCNCs in the Flavour Precision Era
• Signatures of Extra Gauge Bosons in the Littlest Higgs Model with T-parity at Future Colliders
• D^0 -> gamma gamma and D^0 -> mu^+ mu^- Rates on an Unlikely Impact of the Littlest Higgs Model with T-Parity
• The flavor-changing single-top quark production in the littlest Higgs model with T parity at the LHC
• Distinguishing the Littlest Higgs model with T-parity from supersymmetry at the LHC using trileptons
• Bounding the Minimal 331 Model through the Decay B -> X_s gamma
• The flavor-changing top-charm quark production in the littlest Higgs model with T parity at the ILC
• Dileptonic signatures of T-odd quarks at the LHC
• Top quark chromomagnetic dipole moment in the littlest Higgs model with T-parity
• Top quark rare three-body decays in the littlest Higgs model with T-parity
• The impossibility of heavy neutrino dark matter in the Littlest Higgs Model with T-parity: constraints from direct search
• Lepton Flavour Violating Decays in the Littlest Higgs Model with T-Parity
• Pair production of the heavy leptons associated with a gauge boson gamma or Z at the ILC
• The flavor-changing top-charm associated productions at ILC in littlest Higgs model with T parity
• The littlest Higgs model with T-parity and single top production at $ep$ collision