Pith. sign in

REVIEW 6 cited by

Revisiting the proton mass decomposition

Not yet reviewed by Pith; the record is open.

This paper has not been read by Pith yet. Machine review is queued; the pith claim, tier, and objections will appear here once it completes.

SPECIMEN: schema-true, not a live event

T0 review · schema-true

One-sentence machine reading of the paper's core claim.

pith:XXXXXXXX · record.json · timestamp

arxiv 2006.11171 v2 pith:NKE2KKGY submitted 2020-06-19 hep-ph hep-latnucl-th

Revisiting the proton mass decomposition

classification hep-ph hep-latnucl-th
keywords decompositionsmassenergy-momentumprotonrulestensortermsanomaly
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
0 comments
Share X Bluesky LinkedIn Reddit HN
read the original 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.

discussion (0)

Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.

Forward citations

Cited by 6 Pith papers

Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score.

  1. Quasi Parton Distribution Functions in Covariant Quark Models

    hep-ph 2026-05 unverdicted novelty 7.0

    In gauge-free quark models, quasi-PDFs converge to PDFs with proven sum rules, and the Covariant Parton Model supplies closed-form small-x results that match a Wandzura-Wilczek approximation for the quark energy-momen...

  2. Transverse energy-momentum tensor distributions in polarized nucleons

    hep-ph 2026-04 unverdicted novelty 6.0

    The quantum phase-space formalism derives transverse energy-momentum tensor distributions in polarized nucleons and reproduces standard light-front distributions including bad components in the infinite-momentum frame.

  3. Gravitational transverse momentum distribution of proton

    hep-ph 2026-04 unverdicted novelty 6.0

    Analytical expressions for quark gravitational TMDs are derived in the LFQDM, verified against standard TMD relations, and linked to transverse pressure and shear-force distributions.

  4. First simultaneous global QCD analysis of kaon and pion parton distributions with lattice QCD constraints

    hep-ph 2025-10 conditional novelty 6.0

    First simultaneous pion+kaon PDF fit with lattice constraints finds kaon valence anti-up softer than pion's and strange valence more peaked at high x.

  5. Quadrupole forces between quark/gluon subsystems inside higher-spin particles

    hep-ph 2025-08 conditional novelty 5.0

    For spin-1 and spin-3/2 hadrons, the quark/gluon subsystem force acquires quadrupole and tangential components, expressed through new multipole form factors C̄_n(t).

  6. Transverse energy-momentum tensor distributions in polarized nucleons

    hep-ph 2026-04 accept novelty 4.5

    Transverse EMT distributions in polarized nucleons are derived in the quantum phase-space formalism; they reduce to standard light-front densities (including bad components) in the infinite-momentum frame.