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\(M_\pi^2\) versus mq: comparing CP-PACS and UKQCD data to Chiral Perturbation Theory

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Abstract.

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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Received: 4 April 2003, Published online: 11 June 2003

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Dürr, S. \(M_\pi^2\) versus mq: comparing CP-PACS and UKQCD data to Chiral Perturbation Theory. Eur. Phys. J. C 29, 383–395 (2003). https://doi.org/10.1140/epjc/s2003-01245-x

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