We compute the lowest three non-trivial moments of the quark distribution functions in the pion. We also present results of the generalisation to moments of vector and tensor GPDs that are related 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. Important features of our investigation are the use of O(a) improved Wilson fermions and non-perturbative renormalisation.

The internal structure of hadrons is important for a variety of topics, including the hadron form factors, proton spin and spin asymmetry in polarized proton scattering. For a systematic study generalized parton distributions (GPDs) encode important information on hadron structure in the entire impact parameter space. We report on a computation of nucleon GPDs based on simulations with two dynamical non-perturbatively improved Wilson quarks with pion masses down to 350MeV. We present results for the total angular momentum of quarks with chiral extrapolation based on covariant baryon chiral perturbation theory.

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Results are presented for the lowest moment of the distribution amplitude for the K * vector meson. Both longitudinal and transverse moments are investigated. We use two flavours of O(a) improved Wilson fermions, together with a non-perturbative renormalisation of the matrix element.

We calculated the first two moments of the light-cone distribution amplitudes for the pseudoscalar mesons (π and K) and the longitudinally polarised vector mesons (ρ, K * and φ ) as part of the UKQCD and RBC collaborations' N f = 2 + 1 domain-wall fermion phenomenology programme. These quantities were obtained with a good precision and, in particular, the expected effects of SU(3)-flavour symmetry breaking were observed. Operators were renormalised nonperturbatively and extrapolations to the physical point were made, guided by leading order chiral perturbation theory. The main results presented are for two volumes, 16 3 ×32 and 24 3 ×64, with a common lattice spacing. Preliminary results for a lattice with a finer lattice spacing, 32 3 × 64, are discussed and a first look is taken at the use of twisted boundary conditions to extract distribution amplitudes.