Breakdown of chiral expansion for parton distributions

Details Breakdown of chiral expansion for parton distributions Breakdown of chiral expansion for parton distributions

2007-07-15

arxiv.org/abs/0707.2208v2

Phys.Lett.B664:64-69,2008

Physics

High Energy Physics

High Energy Physics - Phenomenology

10 pages, 7 figures

Scientific paper

10.1016/j.physletb.2008.04.048

In the framework of the chiral perturbation theory we computed two- and three-loop corrections to the pion parton distributions which posses $\delta$-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.

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