Constraints on the Mass and Mixing of the 4th Generation Quark From Direct CP Violation${\epsilon }^{\prime }/\epsilon$ and Rare K Decays

Abstract

We investigate the ${\epsilon }^{\prime }/\epsilon$ for $K\to \pi \pi$ in a sequential fourth generation model. By giving the basic formulae for ${\epsilon }^{\prime }/\epsilon$ in this model, we analyze the numerical results which are dependent of $m_{t^{\prime }}$ and imaginary part of the fourth CKM factor, $Im{V}_{t^{{}^{\prime }}s}^{\ast }{V}_{t^{{}^{\prime }}d}$ (or $V_{t^{{}^{\prime }}s}^{\ast }{V}_{t^{{}^{\prime }}d}$ and the fourth generation CKM matrix phase $\theta$). We find that, unlike the SM, when taking the central values of all parameters for ${\epsilon }^{\prime }/\epsilon$, the values of ${\epsilon }^{\prime }/\epsilon$ can easily fit to the current experimental data for all values of hadronic matrix elements estimated from various approaches. Also, we show that the experimental values of ${\epsilon }^{\prime }/\epsilon$ and rare K decays can provide a strong constraint on both mass and mixing of the fourth generation quark. When taking the values of hadronic matrix elements from the lattice or 1/N expansion calculations, a large region of the up-type quark mass $m_{t^{\prime }}$ is excluded.

18 pages, 4 eps figures

References in corpus (11)

• A new measurement of direct CP violation in two pion decays of the neutral kaon
• Can Flavor-Independent Supersymmetry Soft Phases Be the Source of All CP Violation?
• CP conserving constraints on Supersymmetric CP violation in the MSSM
• Large Delta(I)=3/2 Contribution to epsilon'/epsilon in Supersymmetry
• Additional Isospin-Breaking Effects in ε^\prime/ε
• The Electric Dipole Moment and CP Violation in $B\to X_s{l}^{+}{l}^{-}$ in SUGRA Models with Nonuniversal Gaugino Masses
• Supersymmetric CP Violation in $B\to X_s{l}^{+}{l}^{-}$ in Minimal Supergravity Model
• The $B\to X_s{l}^{+}{l}^{-}$ and $B\to X_s\gamma$ decays with the fourth generation
• Estimating eps'/eps in the standard model independently of Im λ_t
• Theoretical status of epsilon'/epsilon
• Estimating eps'/eps . A user's manual

Cited by in corpus (12)

• Effective Hamiltonian for Non-Leptonic |Delta F| = 1 Decays at NNLO in QCD
• Waiting for Precise Measurements of K^+->pi^+ nu nu and K_L->pi^0 nu nu
• Supersymmetry and Vector-like Extra Generation
• Flavor anomalies at the LHC and the R-parity violating supersymmetric model extended with vectorlike particles
• K_1(1270)-K_1(1400) mixing and the fourth generation SM effects in B-->K_1l^+l^- decays
• CP asymmetry in $B\to \varphi K_S$ in a general two-Higgs-doublet model with fourth-generation quarks
• A Simple Approach to Fourth Generation Effects in $B\to X_s{\ell }^{+}{\ell }^{-}$ Decay
• Bounds on the mass of the b' quark, revisited
• Fourth-generation SM imprints in B -> K^*l^+l^- decays with polarized K^*
• Implication of the Fourth Generation Standard Model to the Lepton Polarization asymmetries in the $B\to K^{\ast }{\ell }^{+}{\ell }^{-}$ Decay
• Unification of Gauge Couplings and the Higgs Mass in Vector-Like Particle Theories Extended into NMSSM
• The s-d Transition in Heavy Mesons