Moments of Isovector Quark Distributions in Lattice QCD

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We investigate the connection of lattice calculations of moments of isovector parton distributions to the physical regime through extrapolations in the quark mass. We consider the one pion loop renormalization of the nucleon matrix elements of the corresponding operators and thereby develop formulae with which to extrapolate the moments of the unpolarized, helicity and transversity distributions. There formulae are consistent with chiral perturbation theory in the chiral limit and incorporate the correct heavy quark limits. In the polarized cases, the inclusion of intermediate states involving the Delta isobar is found to be very important. The results of our extrapolations are ... continued below

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219 Kilobytes pages

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Detmold, W.; Melnitchouk, Wally & Thomas, A.W. June 1, 2002.

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We investigate the connection of lattice calculations of moments of isovector parton distributions to the physical regime through extrapolations in the quark mass. We consider the one pion loop renormalization of the nucleon matrix elements of the corresponding operators and thereby develop formulae with which to extrapolate the moments of the unpolarized, helicity and transversity distributions. There formulae are consistent with chiral perturbation theory in the chiral limit and incorporate the correct heavy quark limits. In the polarized cases, the inclusion of intermediate states involving the Delta isobar is found to be very important. The results of our extrapolations are in general agreement with the phenomenological values of these moments where they are known, and for the first time we perform an extrapolation of the low moments of the isovector transversity distribution which is consistent with chiral symmetry.

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219 Kilobytes pages

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  • QNP '02 (International Conference on Quark Nuclear Physics), Juelich (DE), 06/09/2002--06/14/2002

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  • Report No.: JLAB-THY-02-51
  • Report No.: DOE/ER/40150-2283
  • Grant Number: AC05-84ER40150
  • Office of Scientific & Technical Information Report Number: 802944
  • Archival Resource Key: ark:/67531/metadc741957

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  • June 1, 2002

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  • Oct. 19, 2015, 7:39 p.m.

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  • Feb. 5, 2016, 9:49 p.m.

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Detmold, W.; Melnitchouk, Wally & Thomas, A.W. Moments of Isovector Quark Distributions in Lattice QCD, article, June 1, 2002; Newport News, Virginia. (digital.library.unt.edu/ark:/67531/metadc741957/: accessed August 23, 2017), University of North Texas Libraries, Digital Library, digital.library.unt.edu; crediting UNT Libraries Government Documents Department.