English

Breakdown of chiral expansion for parton distributions

High Energy Physics - Phenomenology 2008-11-26 v2 High Energy Physics - Lattice Nuclear Experiment

Abstract

In the framework of the chiral perturbation theory we computed two- and three-loop corrections to the pion parton distributions which posses δ\delta-function singularities at x->0. This calculation explicitly demonstrates that in the region of small x ~ mpi^2/(4 pi F)^2 standard ChPT breaks down and one needs resummation of all orders. We give an example of such resummation.

Keywords

Cite

@article{arxiv.0707.2208,
  title  = {Breakdown of chiral expansion for parton distributions},
  author = {N. Kivel and M. V. Polyakov},
  journal= {arXiv preprint arXiv:0707.2208},
  year   = {2008}
}

Comments

10 pages, 7 figures

R2 v1 2026-06-21T08:58:28.251Z