English

Revisiting the proton mass decomposition

High Energy Physics - Phenomenology 2021-01-04 v2 High Energy Physics - Lattice Nuclear Theory

Abstract

Different decompositions (sum rules) for the proton mass have been proposed in the literature. All of them are related to the energy-momentum tensor in quantum chromodynamics. We review and revisit these decompositions by paying special attention to recent developments with regard to the renormalization of the energy-momentum tensor. The connection between the sum rules is discussed as well. We present numerical results for the various terms of the mass decompositions up to 3 loops in the strong coupling, and consider their scheme dependence. We also elaborate on the role played by the trace anomaly and the sigma terms.

Keywords

Cite

@article{arxiv.2006.11171,
  title  = {Revisiting the proton mass decomposition},
  author = {Andreas Metz and Barbara Pasquini and Simone Rodini},
  journal= {arXiv preprint arXiv:2006.11171},
  year   = {2021}
}

Comments

28 pages; V2: some discussion added, matches PRD version

R2 v1 2026-06-23T16:27:59.995Z