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arXiv · 1210.4398

Parton distributions in the presence of target mass corrections

F. M. Steffens·M. D. Brown·W. Melnitchouk·S. Sanches
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Abstract

We study the consistency of parton distribution functions in the presence of target mass corrections (TMCs) at low Q^2. We review the standard operator product expansion derivation of TMCs in both x and moment space, and present the results in closed form for all unpolarized structure functions and their moments. To avoid the unphysical region at x > 1 in the standard TMC analysis, we propose an expansion of the target mass corrected structure functions order by order in M^2/Q^2, and assess the convergence properties of the resulting forms numerically.

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F. M. Steffens, M. D. Brown, W. Melnitchouk, S. Sanches. 2012-10-16. Parton distributions in the presence of target mass corrections. https://doi.org/10.1103/physrevc.86.065208

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