Integrating out strange quarks in ChPT

Physics – High Energy Physics – High Energy Physics - Phenomenology

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14 pages, 3 figures, References added. Due to a typo in a form program, we missed a finite, scale independent part in l_7. Is

Scientific paper

10.1016/j.physletb.2007.06.058

We study three flavour chiral perturbation theory in a limit where the strange quark mass is much larger than the external momenta and the up and down quark masses, and where the external fields are those of two-flavour chiral perturbation theory. In this case, the theory reduces to the one of SU(2)_L x SU(2)_R. Through this reduction, one can work out the strange quark mass dependence of the LECs in the two-flavour case. We present the pertinent relations at two-loop order for F,B and l_i.

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