We perform a complete and systematic calculation of the octet-baryon form factors within the fully covariant approach of SU (3) chiral perturbation theory at O(p 3 ). We use the extended on-mass shell renormalization scheme, and include explicitly the vector mesons and the spin-3/2 decuplet intermediate states. Comparing these predictions with data including magnetic moments, charges, and magnetic radii, we determine the unknown low-energy constants, and give predictions for yet unmeasured observables, such as the magnetic moment of the Σ 0 , and the charge and magnetic radii of the hyperons.
I. INTRODUCTIONThe electromagnetic structure of hadrons plays a fundamental role in our understanding of the structure of matter and the underlying strong interaction. At high energies, the fundamental properties of hadrons are well described by perturbative quantum chromodynamics (pQCD). However, in order to describe interactions at distances larger than the size of hadrons, corresponding to energies well below 1 GeV, pQCD breaks down, and suitable low-energy effective-field theories (EFTs) are useful. This energy regime is the focus of this paper, and we use the methods of fully covariant SU (3) baryon chiral perturbation theory (ChPT) for our description of the hadron properties [1-3]. We use this EFT of QCD including explicitly the decuplet of spin-3/2 baryons [4][5][6][7] and the vector-meson contributions [8][9][10][11][12][13].At each order in the chiral expansion, the interactions are parameterized by a set of low-energy constants (LECs), many of which have already been determined from data. When including baryons in ChPT, the chiral power counting in terms of momenta and masses seems to be spoiled [2]. This is due to the baryon masses being of the order of 1 GeV. As a result, a priori there is no clear way to associate a specific chiral order with a definite number of loops. Several renormalization schemes to solve this issue have been proposed in the past. The first such approach is semirelativistic, which exploits that the baryons are much heavier than the Goldstone bosons, and hence an expansion in the inverse baryon mass is made. This is called heavy-baryon ChPT (HBChPT), first introduced in Ref. [4]. Covariant approaches are slightly more involved, and resum terms of higher order from the HBChPT viewpoint. The infrared regularization (IR) scheme separates the loops into infrared and regular parts, obtained by a manipulation of the baryon propagators [14][15][16][17]. The regular parts fully encode the power-counting breaking terms (PCBTs), and are thus absorbed in the LECs of the most general Lagrangians. This approach is based on the works in Refs. [18,19]. However, we choose the extended on-mass shell (EOMS) scheme [20,21], which is known to converge well for a range of processes [22][23][24][25][26][27][28][29][30][31][32][33][34][35][36][37]. This scheme relies on the knowledge that the PCBTs that spoil the chiral series have fully analytical expressions. Therefore, they can be identified with terms of the ...