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

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

2009-10-26

arxiv.org/abs/0910.4880v2

Physics

High Energy Physics

High Energy Physics - Phenomenology

Invited talk given at "6th International Workshop on Chiral Dynamics", July 6-10, 2009, Bern, Switzerland. To appear in the Pr

Scientific paper

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 \times 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 the dependence on the strange quark mass at two--loop accuracy, and provided 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.

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