Higher Twist Contributions to the Structure Functions F_2^p(x,Q^2) and F_2^d(x,Q^2) at Large x and Higher Orders

Abstract

The higher twist contributions to the deeply inelastic structure functions $F_2^p(x,Q^2)$ and $F_2^d(x,Q^2)$ for larger values of the Bjorken variable $x$ are extracted extrapolating the {twist--2} contributions measured in the large $W^2$ region to the region $4 \GeV^2 \leq W^2 \leq 12.5 \GeV^2$ applying target mass corrections. We compare the results for the NLO, NNLO and N${}^3$LO analyzes and include also the large $x$ at N${}^4$LO to the Wilson coefficients. A gradual lowering of the higher twist contributions going from NLO to N${}^4$LO is observed, which stresses the importance of higher order corrections.

7 pages, 1 style file, 2 figures

References in corpus (3)

• Small x Resummation with Quarks: Deep-Inelastic Scattering
• Two-Loop Massive Operator Matrix Elements and Unpolarized Heavy Flavor Production at Asymptotic Values Q^2 >> m^2
• Structural Relations between Harmonic Sums up to w=6

Cited by in corpus (2)

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• Two--Loop Massive Operator Matrix Elements for Unpolarized Heavy Flavor Production to $O(ε)