Constraints from a large-Nc analysis on meson-baryon interactions at chiral order Q3
Abstract
We consider the chiral Lagrangian for baryon fields with JP=1/2+ or JP=3/2+ quantum numbers as constructed from QCD with up, down and strange quarks. The specific class of counterterms that are of chiral order Q3 and contribute to meson-baryon interactions at the two-body level is constructed. Altogether, we find 24 terms. In order to pave the way for realistic applications, we establish a set of 22 sum rules for the low-energy constants as they are implied by QCD in the large-Nc limit. Given such a constraint, there remain only two independent unknown parameters that need to be determined by either lattice QCD simulations or directly from experimental cross section measurements. At subleading order, we arrive at five parameters.
- Publication:
-
Physical Review D
- Pub Date:
- November 2019
- DOI:
- arXiv:
- arXiv:1908.11816
- Bibcode:
- 2019PhRvD.100i4035H
- Keywords:
-
- High Energy Physics - Phenomenology
- E-Print:
- 24 pages