English

The $\Delta I=1/2$ Rule for Kaons

High Energy Physics - Phenomenology 2009-10-31 v2

Abstract

We report on recent advances at understanding the ΔI=1/2\Delta I= 1/2 rule for kaons. We get reasonable matching between short-- and long--distances for scales between between 0.6 and 1.0 GeV and reproduce the ΔI=1/2\Delta I=1/2 rule huge enhancement in the chiral limit. A detailed analysis of the different contributions to the relevant octet and 27-plet couplings is done. For the B6(1/2)(μ)<(ππ)0Q6K>/[<(ππ)0Q6K>Nc]B_6^{(1/2)}(\mu) \equiv < (\pi\pi)_0 | Q_6 | K > / [< (\pi\pi)_0 | Q_6 | K > {\Large|}_{N_c}] parameter, we get in the chiral limit B6(1/2)(μ)=2.2±0.5B_6^{(1/2)}(\mu) = 2.2 \pm 0.5 for scales μ[0.6,1.0]\mu \in [0.6, 1.0] GeV.

Cite

@article{arxiv.hep-ph/9909245,
  title  = {The $\Delta I=1/2$ Rule for Kaons},
  author = {Joaquim Prades},
  journal= {arXiv preprint arXiv:hep-ph/9909245},
  year   = {2009}
}

Comments

9 LaTeX pages, 2 ps figures included. Invited talk at QCD '99 High Energy Euro Conference on Quantum Chromodynamics, July 1999, Montpellier, France. Corrected eq. (16) and misprints

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