K -> pi pi and a light scalar meson

Abstract

We explore the Delta-I= 1/2 rule and epsilon'/epsilon in K -> pi pi transitions using a Dyson-Schwinger equation model. Exploiting the feature that QCD penguin operators direct K^0_S transitions through 0^{++} intermediate states, we find an explanation of the enhancement of I=0 K -> pi pi transitions in the contribution of a light sigma-meson. This mechanism also affects epsilon'/epsilon.

7 pages, REVTEX

References in corpus (17)

• pi- and K-meson Bethe-Salpeter Amplitudes
• Bethe-Salpeter Study of Vector Meson Masses and Decay Constants
• Pion mass and decay constant
• Observation of Direct CP Violation in K_{S,L} to ππDecays
• Hadron Physics from the Global Color Model of QCD
• Survey of heavy-meson observables
• Strong Enhancement of ${\epsilon }^{\prime }/\epsilon$ Through Final State Interactions
• Hadronic Structure in the Decay ${\tau }^{-}\to {\nu }_{\tau }{\pi }^{-}{\pi }^0{\pi }^0$ and the Sign of the Tau Neutrino Helicity
• Pseudovector components of the pion, pi^0 -> gamma gamma, and F_pi(q^2)
• Nucleon Form Factors in a Covariant Diquark-Quark Model
• Meson-loop contributions to the rho-omega mass splitting & rho charge radius
• Nucleon form factors and a nonpointlike diquark
• Selected nucleon form factors and a composite scalar diquark
• Anomalous gamma -> 3 pi amplitude in a bound-state approach
• Nonperturbative effects in QCD at Finite Temperature and Density
• Estimating eps'/eps . A user's manual
• Off Mass Shell Effects in Hadron Electric Dipole Moments

Cited by in corpus (7)

• Dyson-Schwinger Equations: Density, Temperature and Continuum Strong QCD
• Dyson-Schwinger equations: a tool for hadron physics
• T-dependence of pseudoscalar and scalar correlations
• Schwinger functions and light-quark bound states, and sigma terms
• An updated analysis of eps'/eps in the standard model with hadronic matrix elements from the chiral quark model
• Neutron electric dipole moment: Constituent-dressing and compositeness
• Existence of the $\sigma$-meson below 1 GeV and $f_0(1500)$ glueball