The paper derives a manifestly gauge-invariant decomposition of the two-photon-exchange hadronic tensor in the zero-recoil limit, enabling gauge-invariant closure and density-only approximations.
Radiative Corrections and the Renormalization Group for the Two-Nucleon Interaction in Effective Field Theory
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abstract
We use a combination of effective field theory and the renormalization group to determine the impact of radiative corrections on the nucleon-nucleon potential and the binding energy of the deuteron. In order to do so, we present a modified version of pionless effective field theory inspired by earlier work in nonrelativistic quantum electrodynamics. The renormalization group improvement of the deuteron binding energy leads to a shift on the order of a few percent and is consistent with the experimental value. This work serves as a starting point for a dedicated study of radiative corrections in few-body systems relevant for precision tests of the Standard Model in an effective field theory framework.
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Manifest Gauge Invariance for Structure Dependent Radiative Corrections to Processes Involving Atoms and Nuclei
The paper derives a manifestly gauge-invariant decomposition of the two-photon-exchange hadronic tensor in the zero-recoil limit, enabling gauge-invariant closure and density-only approximations.