Wednesday, October 17, 2012

1210.4398 (F. M. Steffens et al.)

Parton distributions in the presence of target mass corrections    [PDF]

F. M. Steffens, M. D. Brown, W. Melnitchouk, S. Sanches
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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