Renormalization of the baryon axial vector current in large-N_c chiral perturbation theory: Effects of the decuplet-octet mass difference and flavor symmetry breaking

Abstract

The baryon axial vector current is computed at one-loop order in large-N_c baryon chiral perturbation theory, where N_c is the number of colors. Loop graphs with octet and decuplet intermediate states are systematically incorporated into the analysis and the effects of the decuplet-octet mass difference and SU(3) flavor symmetry breaking are accounted for. As expected, large-N_c cancellations between different one-loop graphs are observed as a consequence of the large-N_c spin-flavor symmetry of QCD baryons. Fitting our analytical formulas against experimental data on baryon semileptonic decays and the strong decays of decuplet baryons, a detailed numerical analysis regarding the determination of the basic parameters of large-N_c baryon chiral perturbation theory as well as the extraction of the baryon axial vector couplings is performed. The large-N_c baryon chiral perturbation theory predictions are in very good agreement both with the expectations from the 1/N_c expansion and with the experimental data.

33 pages, 1 figure

References in corpus (8)

• Lattice study of flavor SU(3) breaking in hyperon beta decay
• First Lattice QCD Study of the Sigma -> n Axial and Vector Form Factors with SU(3) Breaking Corrections
• Chiral Corrections to the Hyperon Vector Form Factors
• Axial charges of octet and decuplet baryons
• Hyperon decay form factors in chiral perturbation theory
• Renormalization of the baryon axial vector current in large-N_c chiral perturbation theory
• Chiral Corrections to Hyperon Axial Form Factors
• Chiral corrections to the vector and axial couplings of quarks and baryons

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• Baryon masses and σ-terms in SU(3) BChPT x 1/Nc
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• Baryon axial vector current in large-$N_c$ chiral perturbation theory: Complete analysis for $N_c=3$
• S-wave baryon nonleptonic decay amplitude in large-N_c chiral perturbation theory