English

Towards a quantitative understanding of the Delta I=1/2 rule

High Energy Physics - Lattice 2008-11-26 v1

Abstract

A recently proposed strategy to quantify the role of the charm quark mass in the ΔI=1/2\Delta I=1/2 rule is reviewed. Results for the low-energy couplings of the ΔS=1\Delta S=1 chiral effective Hamiltonian in a theory with a light charm quark (GIM limit) are obtained through a matching of three-point correlation functions computed in Chiral Perturbation Theory and in quenched lattice QCD. We observe a large ΔI=1/2\Delta I=1/2 enhancement, which is not large enough to explain the experimental result, but suggests significant long-distance contributions to the physical ΔI=1/2\Delta I=1/2 which are unrelated to penguin contractions or operators.

Keywords

Cite

@article{arxiv.hep-lat/0610129,
  title  = {Towards a quantitative understanding of the Delta I=1/2 rule},
  author = {P. Hernandez},
  journal= {arXiv preprint arXiv:hep-lat/0610129},
  year   = {2008}
}

Comments

16 pages, 8 figures, Plenary talk at Lattice 2006, to appear in Proceedings of Science PoS(LAT2006)012