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2012

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

Bali, Gunnar S., Collins, Sara, Deka, Mridupawan et al.

Understand

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.

Built on

N. H. Christ, B. Hasslacher and A. H. Mueller, Phys. Rev. D 6
1972
Earlier work this paper cites.
C. G. Callan, Jr. and D. J. Gross, Phys. Rev. D 8
1973
Earlier work this paper cites.
H. Georgi and H. D. Politzer, Phys. Rev. D 9
1974
Earlier work this paper cites.
D. J. Gross and F. Wilczek, Phys. Rev. D 9
1974
Earlier work this paper cites.
J. J. Aubert et al
1983
Earlier work this paper cites.
K. Jansen et al
2002
Earlier work this paper cites.
M. Dorati, T. A. Gail and T. R. Hemmert, Nucl. Phys. A798
2008
Earlier work this paper cites.
A. D. Martin, W. J. Stirling, R. S. Thorne and G. Watt, Eur. Phys. J. C 64
Original
2009
Earlier work this paper cites.
H. Baier et al
Original
2009
Earlier work this paper cites.
R. G. Edwards and B. Joó [SciDAC, LHP and UKQCD Collaborations], Nucl. Phys. Proc. Suppl. 140
2009
Earlier work this paper cites.
D. Pleiter et al
Original
2010
Earlier work this paper cites.
Y. Aoki, T. Blum, H.-W. Lin, S. Ohta, S. Sasaki, R. Tweedie, J. Zanotti and T. Yamazaki [RBC and UKQCD Collaborations], Phys. Rev. D 82
Original
2010
Earlier work this paper cites.