Nuclear Effects In The F_3 Structure Function For Finite And Asymptotic Q^2

Abstract

We study nuclear effects in the structure function F_3 which describes the parity violating part of the charged-current neuitrino nucleon deep inelastic scattering. Starting from a covariant approach we derive a factorized expression for the nuclear structure function in terms of nuclear spectral function and off-shell nucleon structure functions valid for arbitrary momentum transfer Q and in the limit of weak nuclear binding, i.e. when a nucleus can be treated as a non-relativistic system. We develop a systematic expansion of nuclear structure functions in terms of Q^{-2} series caused by nuclear effects ("nuclear twist" series). Basing on this expansion we calculate nuclear corrections to the Gross-Llewellyn-Smith sum rule as well as to higher moments of F_3. We show that corrections to the GLS sum rule due to nuclear effects cancel out in the Bjorken limit and calculate the corresponding Q^{-2} correction. Special attention is payed to the discussion of the off-shell effects in the structure functions. A sizable impact of these effects both on Q^2- and x-dependence of nuclear structure functions is found.

25 pages, 6 figures, final version to appear in Nucl. Phys. A

References in corpus (3)

• An Improved Determination of ${\alpha }_S$ From Neutrino-Nucleon Scattering
• Next-to-next-to-leading order QCD analysis of the revised CCFR data for xF_3 structure function and the higher twist contributions
• Deep inelastic scattering and final state interaction in an exactly solvable relativistic model

Cited by in corpus (17)

• Global Study of Nuclear Structure Functions
• Determination of nuclear parton distributions
• Higher twists and ${\alpha }_s(M_Z)$ extractions from the NNLO QCD analysis of the CCFR data for $x{F}_3$ structure function
• Neutrino inclusive inelastic scattering off nuclei
• Deep inelastic scattering from A=3 nuclei and the neutron structure function
• Nuclear parton distributions and the Drell-Yan process
• Isospin Dependence of Power Corrections in Deep Inelastic Scattering
• nCTEQ15HIX -- Extending nPDF Analyses into the High-$x$, Low $Q^2$ Region
• Nuclear effects in F_3 structure function of nucleon
• Extraction of alpha_s from the Gross--Llewellyn Smith sum rule using Borel resummation
• Nuclear Parton Distributions
• Relations Between NC and CC Neutrino Structure Functions for Nucleons and Nuclei
• $x{F}_3(x,Q^2)$ Structure Function and Gross-Llewellyn Smith Sum Rule with Nuclear Effect and Higher Twist Correction
• Nuclear Effects in Neutrino Structure Functions
• Study of the derivative expansions for the nuclear structure functions
• Structure functions of the nucleon and nuclei in neutrino reactions
• Determination of ${\alpha }_s$ from Gross-Llewellyn Smith sum rule by accounting for infrared renormalon