The K-meson form factor and charge radius: linking low-energy data to future high-energy Jefferson Laboratory results

Abstract

Starting from a successful model of the pi-meson electromagnetic form factor, we calculate the similar form factor, f_K(Q^2), of the charged K meson for a wide range of the momentum transfer squared, Q^2. The only remaining free parameter is to be determined from the measurements of the K-meson charge radius, r_K. We fit this single parameter to the published data of the NA-7 experiment which measured f_K(Q^2) at Q^2->0 and determine our preferred range of r_K, which happens to be close to recent lattice results. Still, the accuracy in the determination of r_K is poor. However, future measurements of the K-meson electromagnetic form factor at Q^2<~5.5 GeV^2, scheduled in Jefferson Laboratory for 2017, will test our approach and will reduce the uncertainty in r_K significantly.

V2: minor clarifications, version accepted by EPJC. 13 pages, 5 figures, EPJC style. V3: misprint in the first equation on p.11 and the upper bound of the prediction region in Fig. 4 corrected, thanks to the anonymous reviewer of arxiv:2103.11877

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