Leading twist nuclear shadowing: uncertainties, comparison to experiments and higher twist effects

Abstract

Using the leading twist approach to nuclear shadowing, which is based on the relationship between nuclear shadowing and diffraction on a nucleon, we calculate next-to-leading order nuclear parton distribution functions (nPDFs) and structure functions in the region $0.2>x>10^{-5}$ and $Q^2\ge 4$ GeV${}^2$. The uncertainties of our predictions due the uncertainties of the experimental input and the theory are quantified. We determine the relative role of the small ($\sim Q^2$) and large ($\gg Q^2$) diffractive masses in nuclear shadowing as a function of $x$ and find that the large mass contribution, which is an analog of the triple Pomeron exchange, becomes significant only for $x\le 10^{-4}$. Comparing our predictions to the available fixed-target nuclear DIS data, we argue, based on the current experimental studies of the leading twist diffraction, that the data at moderately small $x\sim 0.01$ and $Q^2\sim 2$ GeV${}^2$ could contain significant higher twist effects hindering the extraction of nPDFs from that data. Also, we find that the next-to-leading order effects in nuclear shadowing in the ratio of the nucleus to nucleon structure functions $F_2$ are quite sizable. Within the same formalism, we also present results for the impact parameter dependence of nPDFs. We also address the problem of extracting of the neutron $F_{2n}(x,Q^2)$ from the deuteron and proton data. We suggest a simple and nearly model-independent procedure of correcting for nuclear shadowing effects using $F_2^A/F_2^D$ ratios.

42 pages, 18 figures, 1 table, RevTex. The final version published in PRD 71, 054001 (2005)

References in corpus (9)

• Nuclear parton distributions at next to leading order
• Renormalisation group improved small-x Green's function
• Nuclear parton distribution functions and their uncertainties
• An anomalous dimension for small x evolution
• Resummed QCD Power Corrections to Nuclear Shadowing
• Observations on dA scattering at forward rapidities
• Dissociation of virtual photons in events with a leading proton at HERA
• Nuclear shadowing and extraction of F_2p-F_2n at small x from deuteron collider data
• Nuclear shadowing at low Q^2

Cited by in corpus (59)

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