Matching of UL(3)⊗UR(3) and SUL(3)⊗SUR(3) chiral perturbation theories

The heavy singlet field is integrated out from the UL(3)⊗UR(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 SUL(3)⊗SUR(3) Chiral Perturbation Theory in order to establish the relations between the coupling constants from both theories to one-loop level accuracy.