Speaker
Description
Hadron matrix elements of the QCD energy-momentum tensor are expressed by the gravitational form factors. The gravitational form factors are related to a particular moment of the GPDs, and are relevant to EIC physics. The forward (zero momentum transfer) values of the gravitational form factors allow for a decomposition of the hadron mass into the contributions from quarks and gluons, and the further subdivisions into the contributions from quark masses and from the QCD trace anomaly may be considered. This talk presents the most recent evaluations of these mass decompositions for the nucleon, using a quantitative evaluation of the forward values of relevant gravitational form factors at next-to-next-to-leading order (three-loop) QCD. We discuss the renormalization scale dependence of each component within these decompositions. We also present the results for the pion, which exhibit distinctly different behaviors from the nucleon. This talk is based on my papers, JHEP 01 (2019) 120, JHEP 03 (2023) 013, and on a new paper in preparation.
