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arXiv:hep-lat/0110112·v1·High Energy Physics — Lattice

Is the Up Quark Massless?

Daniel R. Nelson (1)🇺🇸 · George T. Fleming (1)🇺🇸 · Greg W. Kilcup (1) ((1) The Ohio State University)🇺🇸

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Abstract

Several lattice calculations of a combination of the low energy constants of the chiral Lagrangian, 2\alpha_8-\alpha_5, are presented. This combination is critical for the preclusion of a massless up quark. The result found is 2\alpha_8-\alpha_5 = 0.115 \pm 0.051^{stat} \pm 0.25^{syst}, which is well outside of the range allowed by a massless up quark.

Comments: 3 pages, 3 figures, uses espcrc2.sty, Lattice2001(spectrum)

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