TL;DR
This paper presents a lattice QCD calculation of the pion's parton distribution moment, employing non-perturbative renormalization and continuum extrapolation, with results limited by the quenched approximation.
Contribution
It provides a non-perturbative lattice computation of the pion's second moment of the parton distribution, improving accuracy through renormalization and continuum limit extrapolation.
Findings
First non-perturbative lattice result for pion moment
Results are close to experimental estimates
Limitations due to quenched approximation
Abstract
We report on a lattice computation of the second moment of the pion matrix element of the twist-2 non-singlet operator corresponding to the average momentum of parton densities. We apply a fully non-perturbatively evaluated running renormalization constant as well as a careful extrapolation of our results to the continuum limit. Thus the only limitation of our final result is the quenched approximation.
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Taxonomy
TopicsMathematical Dynamics and Fractals