Hadron structure from lattice QCD

Abstract

We review results for hadron masses and hadron structure using maximally twisted mass fermions for our non-perturbative studies of lattice QCD. We demonstrate that hadron masses can be computed reliably in this setup and that a nice agreement with the experimentally determined spectra is found. In addition, we give examples that lattice QCD can also provide predictions of masses for a number of yet not discovered states. We present a number of results for moments of parton distribution functions and form factors and show that simulations at the physical value of the pion mass have the promising potential to reconcile older discrepancies between lattice results and those from experiment or phenomenology. In addition, we show that it is also possible to include dis-connected quark loop contributions in the analysis when a large enough statistics is invested. Finally, we give an outlook for future lattice calculations of hadron structure by discussing the gluon moment, first results of a direct computation of the parton distribution functions and mention the neutron electric dipole moment. © 2015 Elsevier B.V.