On chiral corrections to nucleon GPD

Abstract

Within the pion-nucleon chiral perturbation theory we derive the leading chiral correction to the nucleon GPD at $\xi =0$. 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 $m_{\pi }^2/M_N^2$, which is two orders of magnitude less that it follows from the Mellin moments calculation.

arXiv comment17 pages, 1 figure; minor corrections in the text

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Cited by in corpus (14)

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• $\bar{d}-\bar{u}$ asymmetry in the proton in chiral effective theory
• Chiral dynamics and peripheral transverse densities
• Towards the three-dimensional parton structure of the pion: Integrating transverse momentum data into global QCD analysis
• Strange quark asymmetry in the proton in chiral effective theory
• Anatomy of relativistic pion loop corrections to the electromagnetic nucleon coupling
• Parton distributions from nonlocal chiral SU(3) effective theory. I. Splitting functions
• The energy-momentum tensor and D-term of Q-clouds
• Parton distributions from nonlocal chiral SU(3) effective theory: Flavor asymmetries
• First moments of nucleon generalized parton distributions in chiral perturbation theory at full one-loop order
• Leading logarithms for the nucleon mass
• Chiral expansion of nucleon PDF at $x\sim m_{\pi }/M_N$
• Leading chiral logarithms for the nucleon mass