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

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

2002-08-26

arxiv.org/abs/hep-lat/0208051v2

Eur.Phys.J.C29:383-395,2003

Physics

High Energy Physics

High Energy Physics - Lattice

18 pages, 5 figures containing 7 graphs

Scientific paper

10.1140/epjc/s2003-01245-x

I present a selection of CP-PACS and UKQCD data for the pseudo-Goldstone masses in $N_f=2$ 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 $N_f=2$ QCD low-energy scale $\Lambda_3$ was not entirely wrong.

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