Magnetic structure of few-nucleon systems at high momentum transfers in a \(\chi\)EFT approach

The five low-energy constants (LECs) in the electromagnetic current derived in chiral effective field theory (\(\chi\)EFT) up to one loop are determined by a simultaneous fit to the \(A\,\)=\(\,2\)--3 nuclei magnetic moments and to the deuteron magnetic form factor and threshold electrodisintegration at backward angles over a wide range of momentum transfers. The resulting parametrization then yields predictions for the \(^3\)He/\(^3\)H magnetic form factors in excellent accord with the experimental values for momentum transfers ranging up to \(\approx 0.8\) GeV/c, beyond the expected regime of validity of the \(\chi\)EFT approach. The calculations are based on last-generation two-nucleon interactions including high orders in the chiral expansion and derived by Entem, Macheleidt, and Nosyk [Phys.\ Rev.\ C {\bf 96}, 024004 (2017)] and by Piarulli {\it et al.} [Phys.\ Rev.\ C {\bf 94}, 054007 (2016)], using different \(\chi\)EFT formulations. In the \(A\,\)=\(\,3\) calculations, (chiral) three-nucleon interactions are also accounted for. The model dependence resulting from these different formulations of the interactions is found to be mild for momentum transfer below \(\approx0.8\) GeV/c. An analysis of the convergence of the chiral expansion is also provided.