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 Article uri icon

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. © 2012 American Physical Society.

publication date

  • 2012-01-01