Charm mass dependence of the weak Hamiltonian in chiral perturbation theory

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dc.creatorHernandez, P.
dc.creatorLaine, M.
dc.date2004-07-07
dc.date2004-10-05
dc.date.accessioned2026-07-07T10:49:10Z
dc.date.available2026-07-07T10:49:10Z
dc.descriptionSuppose 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.
dc.description20 pages. v2: references and clarifications added, published version
dc.identifierhttps://arxiv.org/abs/hep-ph/0407086
dc.identifierhttp://arxiv.org/abs/hep-ph/0407086
dc.identifierJHEP0409:018,2004
dc.identifierdoi:10.1088/1126-6708/2004/09/018
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/184127
dc.subjectHigh Energy Physics - Phenomenology
dc.titleCharm mass dependence of the weak Hamiltonian in chiral perturbation theory
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