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Título

Towards a determination of the chiral couplings at NLO in 1/N-C: L-8(r)(μ) and C-38(r)(μ)

Autor Rosell, Ignasi ; Pich, Antonio ; Sanz-Cillero, Juan José
Palabras clave 1/N Expansion
Chiral Lagrangians
Quantum Chromodynamics (QCD)
Fecha de publicación 8-ene-2007
EditorInternational School for Advanced Studies
Institute of Physics Publishing
Citación Journal of High Energy Physics 1: 039 (2007)
JHEP01(2007)039
ResumenWe present a dispersive method which allows to investigate the low-energy couplings of chiral perturbation theory at the next-to-leading order (NLO) in the 1/Nc expansion, keeping full control of their renormalization scale dependence. Using the resonance chiral theory Lagrangian, we perform a NLO calculation of the scalar and pseudoscalar two-point functions, within the single-resonance approximation. Imposing the correct QCD short-distance constraints, one determines their difference Π(t) equivalent to ΠS(t)-ΠP(t) in terms of the pion decay constant and resonance masses. Its low momentum expansion fixes then the low-energy chiral couplings L-8 and C-38. At μ(0) = 0.77 GeV, we obtain L-8(r)(μ(0))(SU(3)) = (0.6 ± 0.4)·10(-3) and C-38(r)(μ(0))(SU(3)) = (2 ± 6)·10(-6).
Descripción 14 pages.-- ISI Article Identifier: 000244120200039.-- ArXiv pre-print available at: http://arxiv.org/abs/hep-ph/0610290
Versión del editorhttp://dx.doi.org/10.1088/1126-6708/2007/01/039
URI http://hdl.handle.net/10261/9097
DOI10.1088/1126-6708/2007/01/039
ISSN1126-6708
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