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
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.
© SIF, Springer-Verlag Berlin Heidelberg, 2013
