  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.
