Eur. Phys. J. A (2013) 49: 23
https://doi.org/10.1140/epja/i2013-13023-x

Regular Article - Theoretical Physics

On chiral corrections to nucleon GPD

Institute für Theoretische Physik II, Ruhr-Universität Bochum, Bochum, D-44780, Germany

^* e-mail: vladimirov.aleksey@gmail.com

Received: 22 August 2012
Revised: 16 January 2013
Accepted: 24 January 2013
Published online: 18 February 2013

Abstract

Within the heavy baryon chiral perturbation theory we derive the leading chiral correction to the nucleon GPD at γ=0 . We discuss the difficulties of consideration non-local light-cone operators within heavy baryon approach and the methods to solve the difficulties. The consideration of the chiral corrections directly for non-local 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 _π ² /M _N ² , which is two orders of magnitude less that it follows from the calculation of Mellin moments.