Breakdown of chiral expansion for parton distributions

Abstract

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.

10 pages, 7 figures

References in corpus (9)

• Skewed and double distributions in pion and nucleon
• Hard exclusive electroproduction of two pions and their resonances
• Chiral Corrections to Matrix Elements of Twist-2 Operators
• Is the Sullivan Process Compatible with QCD Chiral Dynamics?
• Parton distribution functions in the pion from lattice QCD
• Constructing Parton Convolution in Effective Field Theory
• Generalized parton distributions for the pion in chiral perturbation theory
• Generalized parton distributions for the nucleon in chiral perturbation theory
• Double chiral logs in the $\pi \pi$ scattering amplitude

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• Light-front representation of chiral dynamics in peripheral transverse densities
• Leading logarithms for the nucleon mass
• Large-N Summation of Chiral Logs for Generalized Parton Distributions
• Chiral expansion of nucleon PDF at $x\sim m_{\pi }/M_N$
• Leading chiral logarithms for the nucleon mass