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Dispersion-theoretical analysis of the electromagnetic form factors of the nucleon: Past, present and future

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arxiv 2106.06357 v1 pith:HIE5T2VJ submitted 2021-06-11 hep-ph hep-exhep-latnucl-exnucl-th

classification hep-phhep-exhep-latnucl-exnucl-th
keywords factorsformnucleonanalysisdispersion-theoreticalelectromagneticerrorsextraction
verification ladder T0 review T1 audit T2 compute T3 formal

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abstract

We review the dispersion-theoretical analysis of the electromagnetic form factors of the nucleon. We emphasize in particular the role of unitarity and analyticity in the construction of the isoscalar and isovector spectral functions. We present new results on the extraction of the nucleon radii, the electric and magnetic form factors and the extraction of $\omega$-meson couplings. All this is supplemented by a detailed calculation of the theoretical uncertainties, using bootstrap and Bayesian methods to pin down the statistical errors, while systematic errors are determined from variations of the spectral functions. We also discuss the physics of the time-like form factors and point out further issues to be addressed in this framework.

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Cited by 7 Pith papers

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

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    The hVP contribution to the HFS in muonic hydrogen is 2.153(11) µeV, deviating from previous evaluations by ~10x the anticipated experimental precision, due to corrected recoil and finite-size interplay.

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    After excluding or cutting low-|t| CLAS 2018 data, BH-dominated EP measurements yield a proton charge radius smaller than the PDG average and consistent with PRad and muonic hydrogen.

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    hep-ph 2026-07 conditional novelty 4.0 of 10

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  7. Baryon Form Factors

    hep-ph 2024-12 accept novelty 2.0 of 10

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