English

On chiral corrections to nucleon GPD

High Energy Physics - Phenomenology 2014-04-08 v3 Nuclear Theory

Abstract

Within the pion-nucleon chiral perturbation theory we derive the leading chiral correction to the nucleon GPD at ξ=0\xi=0. We discuss the difficulties of consideration of nonlocal light-cone operators within the theory with a heavy particle and the methods to solve the difficulties. The consideration of the chiral corrections directly for nonlocal operators allows to resolve the ambiguity of the inverse Mellin transformation. In particular, we show that the mixing between axial and vector GPDs are of order mπ2/MN2m_\pi^2/M_N^2, which is two orders of magnitude less that it follows from the Mellin moments calculation.

Keywords

Cite

@article{arxiv.1208.1714,
  title  = {On chiral corrections to nucleon GPD},
  author = {Alena M. Moiseeva and Alexey A. Vladimirov},
  journal= {arXiv preprint arXiv:1208.1714},
  year   = {2014}
}

Comments

17 pages, 1 figure; minor corrections in the text

R2 v1 2026-06-21T21:47:59.894Z