Long distance regularization in chiral perturbation theory with decuplet

Abstract

We investigate the use of long distance regularization in SU(3) baryon chiral perturbation theory with decuplet fields. The one-loop decuplet contributions to the octet baryon masses, axial couplings, S-wave nonleptonic hyperon decays and magnetic moments are evaluated in a chirally consistent fashion by employing a cutoff to implement long distance regularization. The convergence of the chiral expansions of these quantities is improved compared to the dimensionally regularized version which indicates that the propagation of Goldstone bosons over distances smaller than a typical hadronic size, which is beyond the regime of chiral perturbation theory but included by dimensional regularization, is removed by use of a cutoff.

arXiv comment31 pages

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Cited by in corpus (15)

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• Baryon self energies in the chiral loop expansion
• On the quark-mass dependence of the baryon ground-state masses
• Leading-order decuplet contributions to the baryon magnetic moments in Chiral Perturbation Theory
• Extrapolation of lattice QCD results beyond the power-counting regime
• Electromagnetic form factors of spin 1/2 doubly charmed baryons
• Large-N_c operator analysis of 2-body meson-baryon counterterms in the chiral Lagrangian
• On the possibility of a discontinuous quark-mass dependence of baryon octet and decuplet masses
• Power Counting Regime of Chiral Effective Field Theory and Beyond
• 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
• SU(3) breaking in hyperon transition vector form factors
• Baryon axial vector current in large-$N_c$ chiral perturbation theory: Complete analysis for $N_c=3$
• Chiral expansion of moments of quark distributions
• Long distance effects and strangeness in the nucleon