Infrared Fixed Points for Ratios of Couplings in the Chiral Lagrangian

In the framework of the low energy Chiral Lagrangian, the renormalization group equations for the couplings are investigated up to order p^6, both for the SU(2) as for the SU(3) cases. Infrared attractive fixed points for ratios of couplings are found. These fixed points solutions turn out to agree with the values determined from experiment in a large number of cases.