Relations between SU(2)- and SU(3)-LECs in chiral perturbation theory

Chiral perturbation theory in the two-flavour sector allows one to analyse Green functions in QCD in the limit where the strange quark mass is considered to be large in comparison to the external momenta and to the light quark masses m u and m d . In this framework, the low-energy constants of SU(2) R × SU(2) L depend on the value of the heavy quark masses. For the coupling constants which occur at order p 2 and p 4 in the chiral expansion, we worked out in [1] the dependence on the strange quark mass at two-loop accuracy, and provided in [2] analogous relations for some of the couplings c i which are relevant at order p 6 . This talk comments on the methods used, and illustrates implications of the results obtained.