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Structure of the pion from lattice QCD

Presenter: Dirk Brömmel — Deutsches Elektronen-Synchrotron DESY

D. Brömmel, M. Diehl, M. Göckeler, Ph. Hägler, R. Horsley, Y. Nakamura, D. Pleiter, P.E.L. Rakow, A. Schäfer, G. Schierholz, H. Stüben, J.M. Zanotti

We compute the lowest three non-trivial moments of the parton distribution functions in the pion. We also present results of the generalisation to moments of vector and tensor GPDs that relate to the distribution of quarks in the transverse plane. We find a distortion of the distribution of polarised quarks that is similar to that observed in the nucleon. The simulation is done using two flavours of dynamical fermions with pion masses down to 340 MeV. Among the features of our investigation are the use of O(a) improved Wilson fermions and non-perturbative renormalisation.