U(3) chiral perturbation theory with infrared regularization

Abstract

We include the eta-prime in chiral perturbation theory without employing 1/N_c counting rules. The method is illustrated by calculating the masses and decay constants of the Goldstone boson octet (pions, kaons, eta) and the singlet eta-prime up to one-loop order. The effective Lagrangian describing the interactions of the eta-prime with the Goldstone boson octet is presented up to fourth chiral order and the loop integrals are evaluated using infrared regularization, which preserves Lorentz and chiral symmetry.

29 pages

Cited by in corpus (18)

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• A viable QCD axion in the MeV mass range
• Hadronic eta and eta-prime decays
• Improved Wilson QCD simulations with light quark masses
• The $\rho$-meson light-cone distribution amplitudes from lattice QCD
• Hadronic decays of eta and eta-prime with coupled channels
• Mapping the boundary of the first order finite temperature restoration of chiral symmetry in the m_pi-m_K--plane with a linear sigma model
• Infrared and extended on-mass-shell renormalization of two-loop diagrams
• Low Energy Pion--Nucleon Scattering in the Heavy Baryon and Infrared Schemes
• Chiral corrections to the Roper mass
• Eta-eta' mixing in U(3) chiral perturbation theory
• The eta-prime -> eta pi pi decay in U(3) chiral perturbation theory
• Two-photon decays of pi^0, eta and eta-prime
• Full pseudoscalar mesonic chiral Lagrangian at p6 order under the unitary group
• Axial anomaly and the triality symmetry of leptons and hadrons
• Triality selection rules of Octonion and Quantum Mechanics
• Looking for bound states and resonances in the ${\eta }^{\prime }K\bar{K}$ system
• Master formula approach to broken chiral U(3)xU(3) symmetry