Comparison of the Gottfried and Adler sum rules within the large-Nc expansion

Abstract

The Adler sum rule for deep inelastic neutrino scattering measures the isospin of the nucleon and is hence exact. By contrast, the corresponding Gottfried sum rule for charged lepton scattering was based merely on a valence picture and is modified both by perturbative and non-perturbative effects. Noting that the known perturbative corrections to two-loop order are suppressed by a factor 1/N_c^2, relative to those for higher moments, we propose that this suppression persists at higher orders and also applies to higher-twist effects. Moreover, we propose that the differences between the corresponding radiative corrections to higher non-singlet moments in charged-lepton and neutrino deep inelastic scattering are suppressed by 1/N_c^2, in all orders of perturbation theory. For the first moment, in the Gottfried sum rule, the substantial discrepancy between the measured value and the valence-model expectation may be attributed to an intrinsic isospin asymmetry in the nucleon sea, as is indeed the case in a chiral-soliton model, where the discrepancy persists in the limit N_c-->infinity.

arXiv comment12 pages. Note added in proof, additional references

References in corpus (26)

• New Generation of Parton Distributions with Uncertainties from Global QCD Analysis
• Renormalons
• Dispersive Approach to Power-Behaved Contributions in QCD Hard Processes
• Uncertainties of predictions from parton distributions. I: experimental errors
• Flavor Asymmetry of Antiquark Distributions in the Nucleon
• The 3-loop QCD calculation of the moments of deep inelastic structure functions
• Nucleon Parton Distributions at Low Normalization Point in the Large N_c Limit
• Deep Inelastic Structure Functions at two Loops
• Matching QCD and HQET heavy--light currents at two loops and beyond
• Parton distributions from deep-inelastic-scattering data
• Some higher moments of deep inelastic structure functions at next-to-next-to leading order of perturbative QCD
• Connections between Deep-Inelastic and Annihilation Processes at Next-to-Next-to-Leading Order and Beyond
• Flavor Asymmetry of Light Quarks in the Nucleon Sea
• Higher twists and ${\alpha }_s(M_Z)$ extractions from the NNLO QCD analysis of the CCFR data for $x{F}_3$ structure function
• Next-to-next-to-leading order QCD analysis of the revised CCFR data for xF_3 structure function and the higher twist contributions
• Isovector unpolarized quark distribution in the nucleon in the large-N_c limit
• All-Orders Renormalon Resummations for some QCD Observables
• Non-Singlet Structure Functions at Three Loops: Fermionic Contributions
• Renormalons and multiloop estimates in scalar correlators, Higgs decay and quark-mass sum rules
• Renormalon Singularities of the QCD Vacuum Polarization Function to Leading Order in $1/N_f$
• Large-order Behaviour due to Ultraviolet Renormalons in QCD
• Renormalon chains contributions to the non-singlet evolutional kernels in QCD
• Bjorken unpolarized and polarized sum rules: comparative analysis of large-N_F expansions
• Order ${\alpha }_s^2$ perturbative QCD corrections to the Gottfried sum rule
• Large-order Behaviour of the QCD Adler D-function in Planar Approximation
• On Reconciling Gottfried Sum Rule Violation with Cabibbo Theory

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• Four-Loop Non-Singlet Splitting Functions in the Planar Limit and Beyond
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• Setting the Renormalization Scale in QCD: The Principle of Maximum Conformality
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• The Theory of Deeply Inelastic Scattering
• Novel Phenomenology of Parton Distributions from the Drell-Yan Process
• Differences between charged-current coefficient functions
• NNLO QCD contributions to the flavor non-singlet sector of ${\mathbf{F}}_2(\mathbf{x},{\mathbf{Q}}^2)$
• Resummation of small-x double logarithms in QCD: inclusive deep-inelastic scattering
• Evolution Equations for Connected and Disconnected Sea Parton Distributions
• Re-evaluation of the Gottfried sum using neural networks
• Evaluation of the isospin asymmetry of the nucleon structure functions with CLAS++
• Probing Free Nucleons with (Anti)neutrinos
• Nuclear effects in neutrino-nucleus DIS and probe for short range correlation
• Analytical perturbation theory and Nucleon structure function in infrared region
• Symmetry breaking effect on determination of polarized and unpolarized parton distributions
• Gottfried sum rule from maximum entropy method quark distributions with DGLAP evolution and DGLAP evolution with GLR-MQ-ZRS corrections
• CC DIS at alpha_s^3 in Mellin-N and Bjorken-x spaces
• Bayesian Monte Carlo extraction of sea asymmetry with SeaQuest and STAR data