Lattice hadron matrix elements with the Schroedinger functional: the case of the first moment of non-singlet quark density

Abstract

We present the results of a non-perturbative determination of the pion matrix element of the twist-2 operator corresponding to the average momentum of non-singlet quark densities. The calculation is made within the Schroedinger functional scheme. We report the results of simulations done with the standard Wilson action and with the non-perturbatively improved clover action and we show that their ratio correctly extrapolates, in the continuum limit, to a value compatible with the residual correction factor expected from perturbation theory.

LaTeX, 10 pages, 5 figures

References in corpus (1)

• Hadron masses and matrix elements from the QCD Schr"odinger functional

Cited by in corpus (7)

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• Calculation of Moments of Structure Functions
• On the Scaling Violations of Diffractive Structure Functions: Operator Approach
• Moments of singlet parton densities on the lattice in the Schroedinger Functional scheme
• Pion parton distribution functions from lattice QCD