Charm mass dependence of the weak Hamiltonian in chiral perturbation theory

Details Charm mass dependence of the weak Hamiltonian in chiral perturbation theory Charm mass dependence of the weak Hamiltonian in chiral perturbation theory

2004-07-07

arxiv.org/abs/hep-ph/0407086v2

JHEP0409:018,2004

Physics

High Energy Physics

High Energy Physics - Phenomenology

20 pages. v2: references and clarifications added, published version

Scientific paper

10.1088/1126-6708/2004/09/018

Suppose that the weak interaction Hamiltonian of four-flavour SU(4) chiral effective theory is known, for a small charm quark mass m_c. We study how the weak Hamiltonian changes as the charm quark mass increases, by integrating it out within chiral perturbation theory to obtain a three-flavour SU(3) chiral theory. We find that the ratio of the SU(3) low-energy constants which mediate Delta I=1/2 and Delta I=3/2 transitions, increases rather rapidly with m_c, as \sim m_c ln (1/m_c). The logarithmic effect originates from "penguin-type" charm loops, and could represent one of the reasons for the Delta I=1/2 rule.

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