The Lattice Calculation of Moments of Structure Functions

Much of our knowledge about QCD and the structure of hadrons (mainly nucleons) has been gained from Deep Inelastic Scattering (DIS) experiments such as eN → eX or νN → μX . The (inclusive) cross sections are determined by structure functions F1 and F2 when summing over beam and target polarisations (and an additional F3 when using neutrino beams), and g1, g2 when both the beam and target are suitably polarised. Structure functions are functions of the Bjorken variable x and Q, the large space-like momentum transfer from the lepton. (Another class of structure functions – the transversity h1 – can be measured in Drell-Yan processes or certain types of semi-inclusive processes.)