Abstract
We present a calculation of generalized baryon form factors in the framework of three-flavor covariant baryon chiral perturbation theory at leading one-loop order, necessary for the calculation of the first moments of generalized parton distribution functions. The formulae we derive can be used to guide the chiral extrapolation of three-flavor lattice calculations of the corresponding QCD matrix elements.
Highlights
The concept of generalized parton distributions (GPDs) connects several different, seemingly unconnected hadron structure observables such as form factors, angular momentum carried by quarks and gluons, moments of parton distribution funtions, transverse spatial structure, etc
Covariant baryon chiral perturbation theory (BChPT) [4,5] is an effective field theory of QCD which supplies extrapolation formulae for variable quark masses which are of vital importance to thoroughly analyze lattice data
Let us concentrate on the decuplet, which would certainly be the most important resonant state due to the small N − Δ mass splitting. It has been incorporated in many studies employing three-flavor HBChPT, see, e.g., [11,12], and an extension of Infrared Regularization to the case of dynamical decuplet fields has been given in the meantime [13]
Summary
The concept of generalized parton distributions (GPDs) connects several different, seemingly unconnected hadron structure observables such as form factors, angular momentum carried by quarks and gluons, moments of parton distribution funtions, transverse spatial structure, etc. Covariant baryon chiral perturbation theory (BChPT) [4,5] is an effective field theory of QCD which supplies extrapolation formulae for variable quark masses (pseudoscalar meson masses) which are of vital importance to thoroughly analyze lattice data. For two light-quark flavors and assuming isospin symmetry, this matrix element can be decomposed into the said generalized form factors. As mentioned in [2], in the forward limit, the generalized form factor Aq2,0(0) is linked to the first moment of the parton distribution functions (PDFs) q(x) and q(x) via the relation x q = dx x [q(x) + q(x)] ,.
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