  The canonical energy-momentum tensor is often considered as a purely academic
object because of its gauge dependence. However, it has recently been realized
that canonical quantities can in fact be defined in a gauge-invariant way
provided that strict locality is abandoned, the non-local aspect being
dictacted in high-energy physics by the factorization theorems. Using the
general techniques for the parametrization of non-local parton correlators, we
provide for the first time a complete parametrization of the energy-momentum
tensor (generalizing the purely local parametrizations of Ji and
Bakker-Leader-Trueman used for the kinetic energy-momentum tensor) and identify
explicitly the parts accessible from measurable two-parton distribution
functions (TMDs and GPDs). As by-products, we confirm the absence of
model-independent relations between TMDs and parton orbital angular momentum,
recover in a much simpler way the Burkardt sum rule and derive three similar
new sum rules expressing the conservation of transverse momentum.
