A strategy to study the role of the charm quark in explaining the Delta{I}=1/2 rule
Author(s) -
Leonardo Giusti,
Pilar Hernández,
M. Laine,
Peter Weisz,
Hartmut Wittig
Publication year - 2004
Publication title -
journal of high energy physics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.998
H-Index - 261
eISSN - 1126-6708
pISSN - 1029-8479
DOI - 10.1088/1126-6708/2004/11/016
Subject(s) - physics , particle physics , charm (quantum number) , charm quark , chiral perturbation theory , quark , lattice qcd , up quark , quantum chromodynamics , down quark , bottom quark , top quark
We present a strategy designed to separate several possible origins of thewell-known enhancement of the Delta{I}=1/2 amplitude in non-leptonic kaondecays. In particular, we seek to disentangle the contribution of physics atthe typical QCD scale (soft-gluon exchange) from the effects at the scale ofthe charm quark mass. This is achieved by considering QCD with an unphysicallylight charm quark, so that the theory possesses an approximate SU(4)_L xSU(4)_R chiral symmetry. By computing the relevant operator matrix elements andmonitoring their values as the charm quark mass departs from theSU(4)-symmetric situation, the role of the charm quark can be assessed. Westudy the influence of the charm quark mass in Chiral Perturbation Theory.First results from lattice simulations in the SU(4)-symmetric limit are alsodiscussed.Comment: Latex, 41 pages, 5 figure
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