The Efficient Contour of the Inverse Mellin Transformation for the F3 Structure Function

Abstract

We apply the Mellin transformation method to estimate Q 2 -dependence of the F3 structure function using the efficient contour running from a saddle point proposed by Kosower. Considering a contour of the stationary phase, we examine how to improve the efficient contour. We demonstrate the applicability of the Kosower contour calculated for some fixed Q 2 0 for evaluation of the F3 structure function at any experimental value of momentum transfer squared Q 2 . We investigate the influence of the target mass corrections and higher order terms on the choice of the most efficient contour.