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arxiv: 0707.2208 · v2 · submitted 2007-07-15 · ✦ hep-ph · hep-lat· nucl-ex

Breakdown of chiral expansion for parton distributions

classification ✦ hep-ph hep-latnucl-ex
keywords chiraldistributionspartonresummationbreakdownbreakscalculationchpt
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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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