Renormalisation of the low-energy constants of chiral perturbation theory from loops with dynamical vector mesons

Abstract

Starting from a relativistic Lagrangian for pseudoscalar Goldstone bosons and vector mesons in the antisymmetric tensor representation, a one-loop calculation is performed to pin down the divergent structures that appear for the effective low-energy action at chiral orders Q^2 and Q^4. The corresponding renormalisation-scale dependences of all low-energy constants up to chiral order Q^4 are determined. Calculations are carried out for both the pseudoscalar octet and the pseudoscalar nonet, the latter in the framework of chiral perturbation theory in the limit of a large number of colours.

revised version, accepted for publication

References in corpus (13)

• Electromagnetic excitation of the Delta(1232)-resonance
• Towards a consistent estimate of the chiral low-energy constants
• Mesonic low-energy constants
• Leading SU(3)-breaking corrections to the baryon magnetic moments in Chiral Perturbation Theory
• Chiral Effective-Field Theory in the Delta(1232) Region: Pion Electroproduction on the Nucleon
• Infrared regularization for spin-1 fields
• Octet-baryon axial-vector charges and SU(3)-breaking effects in the semileptonic hyperon decays
• On the chiral effective meson-baryon Lagrangian at third order
• On the radiative decays of light vector and axial-vector mesons
• Form-factors and current correlators: chiral couplings L_10(mu) and C_87(mu) at NLO in 1/N(C)
• Chiral effective-field theory in the Delta(1232) region: II. radiative pion photoproduction
• Spectral representation for u- and t-channel exchange processes in a partial-wave decomposition
• Vector form factor of the pion in chiral effective field theory

Cited by in corpus (7)

• Phenomenology of $J^{PC}=3^{--}$ tensor mesons
• On the chiral expansion of vector meson masses
• The Lorentz- and CPT-Violating Standard Model Extension in Chiral Perturbation Theory
• Ordinary and exotic mesons in the extended Linear Sigma Model
• OPE of Green Functions of Chiral Currents
• Constraints imposed by the partial wave amplitudes on the decays of $J=1,2$ mesons
• On the three-point order parameters of chiral symmetry breaking