Kaon electromagnetic form factors in dispersion theory.

Stamen, D; Hariharan, D; Hoferichter, Martin; Kubis, B; Stoffer, P (2022). Kaon electromagnetic form factors in dispersion theory. The European physical journal. C, Particles and fields, 82(5), p. 432. Springer 10.1140/epjc/s10052-022-10348-3

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The electromagnetic form factors of charged and neutral kaons are strongly constrained by their low-energy singularities, in the isovector part from two-pion intermediate states and in the isoscalar contribution in terms of and residues. The former can be predicted using the respective partial-wave amplitude and the pion electromagnetic form factor, while the latter parameters need to be determined from electromagnetic reactions involving kaons. We present a global analysis of time- and spacelike data that implements all of these constraints. The results enable manifold applications: kaon charge radii, elastic contributions to the kaon electromagnetic self energies and corrections to Dashen's theorem, kaon boxes in hadronic light-by-light (HLbL) scattering, and the region in hadronic vacuum polarization (HVP). Our main results are: , for the charged and neutral radii, for the elastic contribution to the violation of Dashen's theorem, for the charged kaon box in HLbL scattering, and , for the HVP integrals around the resonance. The global fit to gives , for the resonance parameters including vacuum-polarization effects.

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