GPD sum rules: a tool to reveal the quark angular momentum

Abstract

In deeply virtual exclusive electroproduction to leading order accuracy one accesses generalized parton distributions on their cross-over trajectory. Combining Lorentz covariance and analyticity leads to a family of GPD sum rules, guiding us to phenomenological concepts. As an example, we discuss the constraints from the JLAB/Hall A data on the GPD $E$. Its first Mellin moment is the anomalous gravitomagnetic moment, which is the unknown contribution to the quark angular momentum.