<x>_{u-d} from lattice QCD at nearly physical quark masses

Andrea Nobile; Andreas Schafer; Andre Sternbeck; Benjamin Glaessle; Dirk Pleiter; Gunnar S. Bali; Johannes Najjar; Meinulf Gockeler; Mridupawan Deka; Sara Collins

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<x>_(u-d) from lattice QCD at nearly physical quark masses

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arxiv 1207.1110 v2 pith:YCFTJGI6 submitted 2012-07-04 hep-lat hep-ph

<x>_{u-d} from lattice QCD at nearly physical quark masses

Gunnar S. Bali , Sara Collins , Mridupawan Deka , Benjamin Glaessle , Meinulf Gockeler , Johannes Najjar , Andrea Nobile , Dirk Pleiter

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Andreas Schafer Andre Sternbeck

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keywords quarklatticemassnon-perturbativelyschemeactionapproachconverted

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We determine the second Mellin moment of the isovector quark parton distribution function <x>_{u-d} from lattice QCD with N_f=2 sea quark flavours, employing the non-perturbatively improved Wilson-Sheikholeslami-Wohlert action at a pseudoscalar mass of 157(6) MeV. The result is converted non-perturbatively to the RI'-MOM scheme and then perturbatively to the MSbar scheme at a scale mu = 2 GeV. As the quark mass is reduced we find the lattice prediction to approach the value extracted from experiments.

<x>_{u-d} from lattice QCD at nearly physical quark masses

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