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.Comment: 29 page
