Physics – High Energy Physics – High Energy Physics - Lattice
Scientific paper
2003-03-21
Phys.Rev.D68:034025,2003
Physics
High Energy Physics
High Energy Physics - Lattice
22 pages, 4 figures, to appear in Phys. Rev. D
Scientific paper
10.1103/PhysRevD.68.034025
We analyze the moments of parton distribution functions in the pion calculated in lattice QCD, paying particular attention to their chiral extrapolation. Using the lowest three non-trivial moments calculated on the lattice, we assess the accuracy with which the x dependence of both the valence and sea quark distributions in the pion can be extracted. The resulting valence quark distributions at the physical pion mass are in fair agreement with existing Drell-Yan data, but the statistical errors are such that one cannot yet confirm (or rule out) the large-x behavior expected from hadron helicity conservation in perturbative QCD. However, one can expect that the next generation of calculations in lattice QCD will allow one to extract parton distributions with a level of accuracy comparable with current experiments.
Detmold William
Melnitchouk Wally
Thomas Anthony W.
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