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

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

2006-10-31

arxiv.org/abs/hep-lat/0610129v1

PoSLAT2006:012,2006

Physics

High Energy Physics

High Energy Physics - Lattice

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

Scientific paper

A recently proposed strategy to quantify the role of the charm quark mass in the $\Delta I=1/2$ rule is reviewed. Results for the low-energy couplings of the $\Delta S=1$ 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 $\Delta I=1/2$ enhancement, which is not large enough to explain the experimental result, but suggests significant long-distance contributions to the physical $\Delta I=1/2$ which are unrelated to penguin contractions or operators.

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