M_pi^2 versus m_q: comparing CP-PACS and UKQCD data to Chiral Perturbation Theory

preprint2003arXivOpen access

Abstract

I present a selection of CP-PACS and UKQCD data for the pseudo-Goldstone masses in Nf=2N_f=2 QCD with doubly degenerate quarks. At least the more chiral points should be consistent with Chiral Perturbation Theory for the latter to be useful in an extrapolation to physical masses. I find consistency with the chiral prediction but no striking evidence for chiral logs. Nonetheless, the consistency guarantees that the original estimate, by Gasser and Leutwyler, of the Nf=2N_f=2 QCD low-energy scale Λ3Λ_3 was not entirely wrong.

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