Octet baryon magnetic moments at next-to-next-to-leading order in covariant chiral perturbation theory

Abstract

We calculate the octet baryon magnetic moments in covariant baryon chiral perturbation theory with the extended-on-mass-shell renormalization scheme up to next-to-next-to-leading order. At this order, there are nine low-energy constants, which cannot be uniquely determined by the seven experimental data alone. We propose two strategies to circumvent this problem. First, we assume that chiral perturbation theory has a certain convergence rate and use this as one additional constraint to fix the low-energy constants by fitting to the experimental data. Second, we fit to lattice QCD simulations to determine the low-energy constants. We then compare the resulting predictions of the light and strange quark mass dependence of the octet baryon magnetic moments by the three mostly studied formulations of baryon chiral perturbation theory, namely, the extended-on-mass-shell, the infrared, and the heavy baryon approach. It is shown that once more precise lattice data become available, one will learn more about the convergence pattern of baryon chiral perturbation theory.

22 pages, 7 figures, 6 tables

References in corpus (6)

• Chiral Perturbation Theory and Baryon Properties
• Leading SU(3)-breaking corrections to the baryon magnetic moments in Chiral Perturbation Theory
• Octet-baryon axial-vector charges and SU(3)-breaking effects in the semileptonic hyperon decays
• Octet Baryon Magnetic Moments from Lattice QCD: Approaching Experiment from a Three-Flavor Symmetric Point
• Systematic study of octet-baryon electromagnetic form factors in covariant chiral perturbation theory
• Meson-baryon effective chiral Lagrangians at order $p^4$

Cited by in corpus (12)

• Magnetic moments of the spin-1/2 doubly charmed baryons in covariant baryon chiral perturbation theory
• Covariant chiral nucleon-nucleon contact Lagrangian up to order $\mathcal{O}(q^4)$
• Magnetic moments of the spin-$\frac{1}{2}$ singly charmed baryons in chiral perturbation theory
• Electromagnetic form factors of spin 1/2 doubly charmed baryons
• Magnetic moments of the spin-1/2 singly charmed baryons in covariant baryon chiral perturbation theory
• Magnetic moments of the spin-$\frac{3}{2}$ singly heavy baryons
• Pion-mass dependence of the nucleon-nucleon interaction
• Meson-baryon scattering up to the next-to-next-to-leading order in covariant baryon chiral perturbation theory
• Electromagnetic form factors of octet baryons with the nonlocal chiral effective theory
• Magnetic moments of the spin-$\frac{3}{2}$ doubly charmed baryons in covariant baryon chiral perturbation theory
• Baryon magnetic moment in large-$N_c$ chiral perturbation theory: Complete analysis for $N_c=3$
• The one-pion-exchange potential with contact terms from lattice QCD simulations