Matching of U_L(3) x U_R(3) and SU_L(3) x SU_R(3) Chiral Perturbation Theories

Abstract

The heavy singlet field is integrated out from the U_L(3) x U_R(3) Chiral Perturbation Theory and it is shown how its effects on the low-energy dynamics are reduced to effective vertices for the light mesons. The results are matched against the standard SU_L(3) x SU_R(3) Chiral Perturbation Theory in order to establish the relations between the coupling constants from both theories to one-loop level accuracy.

10 pages, 1 eps figure. Some comments rephrased

References in corpus (1)

• eta-eta' mixing from U_L(3) x U_R(3) Chiral Perturbation Theory

Cited by in corpus (8)

• Large $N_c$ scaling of meson masses and decay constants
• $\eta$-${\eta }^{\prime }$ Mixing in Large-$N_c$ Chiral Perturbation Theory
• Two-photon decays of pi^0, eta and eta-prime
• Radiative ${\eta }^{\prime }$ Decays, the Topological Susceptibility and the Witten-Veneziano Mass Formula
• S-wave Meson-Meson Scattering from Unitarized U(3) Chiral Lagrangians
• Full pseudoscalar mesonic chiral Lagrangian at p6 order under the unitary group
• The number of colors in the decays pi^0, eta, eta-prime -> gamma gamma
• The $\pi \pi$ scattering amplitude at large $N_{\text{c}}$