For meson-baryon interactions at chiral order Q^3, the 24 counterterms obey 22 large-N_c sum rules, leaving only 2 independent parameters at leading order.
On the chiral expansion of vector meson masses
1 Pith paper cite this work. Polarity classification is still indexing.
abstract
We study the chiral expansion of meson masses and decay constants using a chiral Lagrangian that was constructed previously based on the hadrogenesis conjecture. The one-loop self energies of the Goldstone bosons and vector mesons are evaluated. It is illustrated that a renormalizeable effective field theory arises once specific conditions on the low-energy constants are imposed. For the case where the hadrogenesis mass gap scale Lambda_{HG} is substantially larger than the chiral symmetry breaking scale Lambda_chi a partial summation scheme is required. All terms proportional to (M/\Lambda_\chi)^n can be summed by a suitable renormalization, where M is the chiral and large-N_c limit of the vector meson masses in QCD. The size of loop effects from vector meson degrees of freedom is illustrated for physical quarks masses. Naturally sized effects are observed that have significant impact on the chiral structure of low-energy QCD with three light flavours.
citation-role summary
citation-polarity summary
fields
hep-ph 1years
2019 1verdicts
CONDITIONAL 1roles
background 1polarities
unclear 1representative citing papers
citing papers explorer
-
Constraints from a large-N_c analysis on meson-baryon interactions at chiral order Q^3
For meson-baryon interactions at chiral order Q^3, the 24 counterterms obey 22 large-N_c sum rules, leaving only 2 independent parameters at leading order.