Problem with the Delta I = 1/2 Rule in the Standard Model

Dec, 1985
34 pages
Published in:
  • Nucl.Phys.B 277 (1986) 197
Contribution to:
  • Published: 1986
Report number:
  • MPI-PAE/PTh 87/85,
  • CPT-85/P-1877

Citations per year

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Abstract: (Elsevier)
We present a calculation of K→ ππ amplitudes using the QCD duality approach recently applied to evaluate the B -parameter of K 0 − K 0 mixing [8] and which has been successful in reproducing the observed size of the ΔI = 3 2 amplitude K + → π + π 0 [9]. In particular we present a calculation of the hadronic factor H which governs the magnitude of the ratio ϵ ′/ ϵ of CP -violation parameters. The results we obtain fail however to reproduce the observed enhancement in the |ΔI| = 1 2 amplitude of K→ ππ decays by an order of magnitude. Here there is a serious problem which in order to be solved requires in our opinion a rather subtle mechanism in the strong interaction dynamics; or, perhaps, new physics.
  • GAUGE FIELD THEORY: YANG-MILLS
  • N-POINT FUNCTION
  • FEYNMAN GRAPH: HIGHER-ORDER
  • PROGRAMMING
  • QUANTUM CHROMODYNAMICS: DUALITY
  • FIELD THEORY: EFFECTIVE LAGRANGIANS
  • CP: violation
  • SUM RULE: FINITE ENERGY
  • Salam-Weinberg model
  • NUMERICAL CALCULATIONS