Renormalons at the boundaries between perturbative and non-perturbative QCD

Abstract

The basis of renormalon calculus is briefly discussed. The method is applied to study QCD predictions for three sum rules of deep-inelastic scattering, namely for the Gross-Llewellyn Smith, Bjorken polarized and unpolarized sum rules. It is shown that the renormalon structures of theses sum rules are closely related. These properties are giving us the hint that theoretical expressions of these three sum rules are similar both in the and non-perturbative sectors. Some phenomenological consequances of the new relations are discussed.

arXiv comment16 pages, LaTeX, Extanded version of the talk at 19th Rencontre de Physique de la Vallee d" Aosta (27 February-5 March, 2005, La Thuile, Aosta Valley, Italy); Few additional comments added, several references added, accepted for publication in Mod.Phys.Lett.A as a Brief Review with the title "Deep inelastic sum rules at the boundaries between perturbative and non-perturbative QCD"

References in corpus (24)

• Renormalons
• Analytic Model for the QCD Running Coupling with Universal ${\bar{\alpha }}_s(0)$ Value
• Dispersive Approach to Power-Behaved Contributions in QCD Hard Processes
• Naive nonabelianization and resummation of fermion bubble chains
• Estimates of the higher-order QCD corrections to R(s), R_τ and deep-inelasstic scattering sum rules
• Determination of the Bjorken Sum and Strong Coupling from Polarized Structure Functions
• ERRATUM TO: Power corrections $1/Q^2$ to parton sum rules for deep inelastic scattering from polarized targets
• Connections between Deep-Inelastic and Annihilation Processes at Next-to-Next-to-Leading Order and Beyond
• Experimental determination of the evolution of the Bjorken integral at low Q^2
• The Generalized Crewther Relation in QCD and its Experimental Consequences
• A measurement of $alph{a}_s(Q^2)$ from the Gross-Llewellyn Smith Sum Rule
• Pade Approximants, Borel Transforms and Renormalons: the Bjorken Sum Rule as a Case Study
• QCD Sum Rule Calculation of Twist-3 Contributions to Polarized Nucleon Structure Functions
• All-Orders Renormalon Resummations for some QCD Observables
• Relations between Observables and the Infrared Fixed-Point in QCD
• Next-to-next-to-leading order QCD analysis of the Gross-Llewellyn Smith sum rule and the higher twist effects
• Improved QCD sum rule estimates of the higher twist contributions to polarised and unpolarised nucleon structure functions
• The Operator Product Expansion, Non-perturbative Couplings and the Landau Pole: Lessons from the O(N) $\sigma$-Model
• Parton model sum rules
• Infrared renormalons and the relations between the Gross-Llewellyn Smith and the Bjorken polarized and unpolarized sum rules
• Bjorken unpolarized and polarized sum rules: comparative analysis of large-N_F expansions
• Renormalons and Power Corrections
• QCD effects to Bjorken unpolarized sum rule for $\nu N$ deep-inelastic scattering
• Modeling power corrections to the Bjorken sum rule for the neutrino structure function F_1

Cited by in corpus (27)

• A Review of Target Mass Corrections
• The Spin Structure of the Nucleon
• Standard Model $\mathcal{O}(\alpha )$ renormalization of $g_A$ and its impact on new physics searches
• Various versions of analytic QCD and skeleton-motivated evaluation of observables
• High precision determination of the $Q^2$-evolution of the Bjorken Sum
• Bjorken Sum Rule and pQCD frontier on the move
• Nucleon spin structure and pQCD frontier on the move
• QCD Running Couplings and Effective Charges
• Nucleon spin structure at low momentum transfers
• Reconciling the analytic QCD with the ITEP operator product expansion philosophy
• Measurement of the Bjorken Sum at very low $Q^2$
• Simple analytic QCD model with perturbative QCD behavior at high momenta
• Implications of the Principle of Maximum Conformality for the QCD Strong Coupling
• Determination of ${\Lambda }_{\overline{MS}}$ at five loops from holographic QCD
• Infrared Freezing of Euclidean QCD observables
• Higher twists in polarized DIS and the size of the constituent quark
• Evaluation of Bjorken polarised sum rule with a renormalon-motivated approach
• Infrared renormalons and single meson production in proton-proton collisions
• Single Meson Production in Photon-Photon Collisions and Infrared Renormalons
• Nonsinglet polarized nucleon structure function in infrared-safe QCD
• The Meson Production in Proton-Proton Collisions in Next-To-Leading Order and Infrared Renormalons
• The least squares method: application to analysis of the flavor dependence of the QCD relation between pole and $\overline{\mathrm{MS}}$-scheme running heavy quark masses
• The analytical $\mathcal{O}(a_s^4)$ expression for the polarized Bjorken sum rule in the miniMOM scheme and the consequences for the generalized Crewther relation
• High precision measurements of alpha_s at the future EIC
• The QCD running coupling at all scales and the connection between hadron masses and Λ_s
• Measurement of the nucleon spin structure functions for 0.01<$Q^2$<1 GeV${}^2$ using CLAS
• Higher-twist mechanism and inclusive gluon production in pion-proton collisions