Nonlinear Phenomena in Complex Systems, 2017, Vol.20, No.3, pp. 286

NONLINEAR PHENOMENA IN COMPLEX SYSTEMS
An Interdisciplinary Journal

2017, Vol.20, No.3, pp. 286 - 293

The Efficient Contour of the Inverse Mellin Transformation for the F₃ Structure Function
V. I. Lashkevich, A. V. Sidorov, and O. P. Solovtsova

We apply the Mellin transformation method to estimate Q²-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 Q²₀ for evaluation of the F₃ structure function at any experimental value of momentum transfer squared Q². We investigate the influence of the target mass corrections and higher order terms on the choice of the most efficient contour.

Key words: quantum chromodynamics, nucleon structure functions, Mellin transformation method

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