Nucleon QCD sum rules with the radiative corrections
Abstract
QCD sum rules for the nucleon are considered in complex q^2 plane with inclusion of the radiative corrections of the order alpha_s. It is shown that the radiative corrections affect mainly the residue lambda^2 of the nucleon pole. Their influence on the value of the nucleon mass is much smaller. Following the ideas of Ioffe and Zyablyuk we expand the analysis to complex values of q^2. This provides a more stable solution. Varying the weights of the contributions of different dimensions by changing the value of the angle in the complex plane we find the value of the six-quark condensate which insures the best consistency of the right hand sides and left hand sides of the sum rules. The corresponding value of the six-quark condensate appears to be only about 10% smaller then the one, provided by the factorization approximation. The value of the four-quark condensate also appears to be close to the one, corresponding to the factorization assumption. The role of the gluon condensate and its possible values are discussed.
Cite
@article{arxiv.hep-ph/0508240,
title = {Nucleon QCD sum rules with the radiative corrections},
author = {V. A. Sadovnikova and E. G. Drukarev and M. G. Ryskin},
journal= {arXiv preprint arXiv:hep-ph/0508240},
year = {2009}
}
Comments
25 pages, 8 figures, this version is identical to the journal paper