Charm mass dependence of the weak hamiltonian in chiral perturbation theory

Hernandez P, Laine M (2004)
JOURNAL OF HIGH ENERGY PHYSICS 2004(09).

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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 DeltaI = 1/2 and DeltaI = 3/2 transitions, increases rather rapidly with m(c), as similar to m(c) ln(1/m(c)). The logarithmic effect originates from "penguin-type" charm loops, and could represent one of the reasons for the DeltaI = 1/2 rule.
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Hernandez P, Laine M. Charm mass dependence of the weak hamiltonian in chiral perturbation theory. JOURNAL OF HIGH ENERGY PHYSICS. 2004;2004(09).
Hernandez, P., & Laine, M. (2004). Charm mass dependence of the weak hamiltonian in chiral perturbation theory. JOURNAL OF HIGH ENERGY PHYSICS, 2004(09).
Hernandez, P., and Laine, M. (2004). Charm mass dependence of the weak hamiltonian in chiral perturbation theory. JOURNAL OF HIGH ENERGY PHYSICS 2004.
Hernandez, P., & Laine, M., 2004. Charm mass dependence of the weak hamiltonian in chiral perturbation theory. JOURNAL OF HIGH ENERGY PHYSICS, 2004(09).
P. Hernandez and M. Laine, “Charm mass dependence of the weak hamiltonian in chiral perturbation theory”, JOURNAL OF HIGH ENERGY PHYSICS, vol. 2004, 2004.
Hernandez, P., Laine, M.: Charm mass dependence of the weak hamiltonian in chiral perturbation theory. JOURNAL OF HIGH ENERGY PHYSICS. 2004, (2004).
Hernandez, P, and Laine, Mikko. “Charm mass dependence of the weak hamiltonian in chiral perturbation theory”. JOURNAL OF HIGH ENERGY PHYSICS 2004.09 (2004).
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