Mass sum rules of the electron in quantum electrodynamics

Understand

Different decompositions of the nucleon mass, in terms of the masses and energies of the underlying constituents, have been proposed in the literature.

• We explore the corresponding sum rules in quantum electrodynamics for an electron at one-loop order in perturbation theory.
• To this end we compute the form factors of the energy-momentum tensor, by paying particular attention to the renormalization of ultraviolet divergences, operator mixing and scheme dependence.
• We clarify the expressions of all the proposed sum rules in the electron rest frame in terms of renormalized operators.