Penguins diagrams in Delta I=1/2 rule and ε'/εwith σmodels

Abstract

We study the correlation between $\epe$ and $\Delta I=1/2$ rule in the framework of non-linear $\sigma$ model including scalar mesons. The matrix elements of QCD and Electroweak (EW) penguin operators are computed within factorization approximation. Using the matrix elements and changing the scalar meson mass, we find that there is correlation between $\epe$ and $\Delta I=1/2$ amplitude. However, it is difficult to explain both $\epe$ and $\Delta I=1/2$ amplitude simultaneously. In order to be compatible with $\epe$, typically, about half of $\Delta I=1/2$ amplitude can be explained at most. Our result suggests there may be substantial non-factorizable contribution to CP conserving $K\to \pi \pi$ amplitudes.

arXiv commentTitle has been changed, 19 pages in RevTex, ps figures included, psfig.sty and here.sty are required

References in corpus (30)

• Weak Decays Beyond Leading Logarithms
• Observation of Direct CP Violation in K_{S,L} to ππDecays
• Resurrection of the Sigma Meson
• The Anatomy of ${\epsilon }^{\prime }/\epsilon$ Beyond Leading Logarithms with Improved Hadronic Matrix Elements
• On the structure of the scalar mesons $f_0(975)$ and $a_0(980)$
• Quenched Light Hadron Spectrum
• Simple Description of Pion-Pion Scattering to 1 GeV
• An Analysis of ππ-Scattering Phase Shift and Existence of σ(555) particle
• Strange Quark Mass Determination from Cabibbo-Suppressed Tau Decays
• ${\epsilon }^{\prime }/\epsilon$ at $O(p^4)$ in the Chiral Expansion
• Scaling of Non-Perturbatively O(a) Improved Wilson Fermions: Hadron Spectrum, Quark Masses and Decay Constants
• Quark Masses from Lattice QCD at the Next-to-Leading Order
• Non-perturbative determination of quark masses in quenched lattice QCD with the Kogut-Susskind fermion action
• The Delta I = 1/2 Rule and B_K at O(p^4) in the Chiral Expansion
• Light and Strange Hadron Spectroscopy with Dynamical Wilson Fermions
• Comment on ``Confirmation of the Sigma Meson''
• On the QCD Sum Rule Determination of the Strange Quark Mass
• Light Quark Masses from Lattice QCD
• 1/N_c Corrections to the Hadronic Matrix Elements of Q_6 and Q_8 in K --> pi pi Decays
• Light Quark Masses with Dynamical Wilson Fermions
• The Light Quark Masses from Lattice Gauge Theory
• Lattice quark masses: a non-perturbative measurement
• Non-perturbatively Renormalized Light-Quark Masses with the Alpha Action
• The strange-quark mass from QCD sum rules in the pseudoscalar channel
• Calculation of the strange quark mass using domain wall fermions
• New Analysis of the Delta I = 1/2 Rule in Kaon Decays and the B_K Parameter
• A short look at epsilon'/epsilon
• The strange quark mass from scalar sum rules updated
• The Strange Quark Mass From Finite Energy Sum Rules
• Non-Perturbatively Improved Quenched Hadron Spectroscopy

Cited by in corpus (3)

• An updated analysis of eps'/eps in the standard model with hadronic matrix elements from the chiral quark model
• A priori mixing of mesons and the |Delta I|=1/2 rule in K\toππ
• The s-d Transition in Heavy Mesons