Precision calculation of the electromagnetic radii of the proton and neutron from lattice QCD

Abstract

We present lattice-QCD results for the electromagnetic form factors of the proton and neutron including both quark-connected and -disconnected contributions. The parametrization of the $Q^2$-dependence of the form factors is combined with the extrapolation to the physical point. In this way, we determine the electric and magnetic radii and the magnetic moments of the proton and neutron. For the proton, we obtain at the physical pion mass and in the continuum and infinite-volume limit $\sqrt{⟨r_E^2{⟩}^p}=0.820(14)$ fm, $\sqrt{⟨r_M^2{⟩}^p}=0.8111(89)$ fm, and ${\mu }_M^p=2.739(66)$, where the errors include all systematics.

8 pages, 3 figures; v2: matches published version; for the accompanying paper, see arXiv:2309.06590 [hep-lat]

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• FLAG Review 2024
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• Generalized Parton Distributions from Lattice QCD with Asymmetric Momentum Transfer: Unpolarized Quarks at Nonzero Skewness
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• Baryon Form Factors
• Proton and neutron electromagnetic form factors from lattice QCD in the continuum limit
• Exploring Nucleon Structure and the Proton Mass Problem through Holographic QCD
• Proton and neutron electromagnetic radii and magnetic moments from $N_f=2+1$ lattice QCD