Higher twists and ${\alpha }_s(M_Z)$ extractions from the NNLO QCD analysis of the CCFR data for $x{F}_3$ structure function

Abstract

A detailed next-to-next-to-leading order (NNLO) QCD analysis is performed for the experimental data of the CCFR collaboration for the $x{F}_3$ structure function. Theoretical ambiguities of the results of our NNLO fits are estimated by application of the Padé resummation technique and variation of the factorization and renormalization scales. The NNLO and N${}^3$LO ${\alpha }_s(Q^2)$ $\overline{MS}$-matching conditions are used. In the process of the fits we are taking into account of twist-4 $1/Q^2$-terms. We found that the amplitude of the $x$-shape of the twist-4 factor is decreasing in NLO and NNLO, though some remaining twist-4 structure seems to retain in NNLO in the case when statistical uncertainties are taken into account. The question of the stability of these results to the application of the [0/2] Padé resummation technique is considered. Our NNLO results for ${\alpha }_s(M_Z)$ values, extracted from the CCFR $x{F}_3$ data, are ${\alpha }_s(M_Z)=0.118\pm 0.002(stat)\pm 0.005(syst)\pm 0.003(theory)$ provided the twist-4 contributions are fixed through the infrared renormalon model and ${\alpha }_s(M_Z)=0.121_{0.010}^{+0.007}(stat)\pm 0.005(syst)\pm 0.003(theory)$ provided the twist-4 terms are considered as free parameters.

33 pages LaTeX, 3 ps figures; minor misprints are eliminated, 2 new referencies are added; accepted for publication in Nucl. Phys. B

References in corpus (46)

• The four-loop beta-function in Quantum Chromodynamics
• Renormalons
• The 4-loop quark mass anomalous dimension and the invariant quark mass
• Dispersive Approach to Power-Behaved Contributions in QCD Hard Processes
• Quark Mass Anomalous Dimension to alpha_s**4
• Strong Coupling Constant with Flavour Thresholds at Four Loops in the MS-bar Scheme
• QCD Effects in Higgs Physics
• The 3-loop QCD calculation of the moments of deep inelastic structure functions
• Nonperturbative Corrections in Resummed Cross Sections
• Estimates of the higher-order QCD corrections to R(s), R_τ and deep-inelasstic scattering sum rules
• An Improved Determination of ${\alpha }_S$ From Neutrino-Nucleon Scattering
• Power corrections and renormalons in Drell-Yan production
• The Large Quark Mass Expansion of Gamma (Z^0 -> hadrons) and Gamma(tau^- -> nu_tau + hadrons) in the Order alpha_s^3
• Comparison of the Pade Approximation Method to Perturbative QCD Calculations
• Power Corrections and Renormalons in Deep Inelastic Structure Functions
• Parton Distributions, d/u, and Higher Twist Effects at High X
• Next-to-next-to-leading order QCD analysis of the revised CCFR data for xF_3 structure function and the higher twist contributions
• Pade Approximants, Borel Transforms and Renormalons: the Bjorken Sum Rule as a Case Study
• Asymptotic Pade Approximant Predictions: up to Five Loops in QCD and SQCD
• Pade Approximants, Optimal Renormalization Scales, and Momentum Flow in Feynman Diagrams
• Heavy flavour contributions to the deep inelastic sum rules
• Next-to-next-to-leading order QCD analysis of the Gross-Llewellyn Smith sum rule and the higher twist effects
• The Jacobi Polinomials QCD Analysis of the CCFR Data for xF_3 and the Q^2-Dependence of the Gross-Llewllyn Smith Sum Rule
• Pade-Improvement of QCD Running Coupling Constants, Running Masses, Higgs Decay Rates, and Scalar Channel Sum Rules
• Next-to-next-to-leading order QCD analysis of the CCFR data for xF_3 and F_2 structure functions of the deep-inelastic neutrino-nucleon scattering
• Calculation of Electroproduction to NNLO and Precision Determination of ${\alpha }_s$
• A Prediction for the 4-Loop βFunction
• Next-to-Next-to-Leading Order QCD Analysis of DIS Structure Functions
• Determination of $\mathbf{f}(\infty )$ from the Asymptotic Series for $\mathbf{f}(\mathbf{x})$ About $\mathbf{x}=0$
• Phenomenology of IR-renormalons in inclusive processes
• The NLO DGLAP extraction of ${\alpha }_s$ and higher twist terms from CCFR $x{F}_3$ and $F_2$ structure functions data for $\nu N$ DIS
• Mass Dependent ${\alpha }_S$ Evolution and the Light Gluino Existence
• QCD analysis of the CCFR data for $x{F}_3$ and Higher--Twist Contribution
• Renormalization-scale-invariant continuation of truncated QCD (QED) series -- an analysis beyond large-beta_0 approximation
• Towards a physical expansion in perturbative gauge theories by using improved Baker-Gammel approximants
• Hera Events, Tevatron Jets, and the Uncertainty On Quarks At Large X
• Nuclear Effects In The F_3 Structure Function For Finite And Asymptotic Q^2
• Numerical analysis of renormalon technique in quantum mechanics
• NNLO QCD Analysis of CCFR data on $x{F}_3$ Structure Function and Gross-Llewellyn Smith Sum Rule with Higher Twist and Nuclear Corrections
• The QCD analysis of the revised CCFR data for xF_3 structure function: the next-to-next-to-leading order and Padé approximants
• Off-shell Corrections and Moments of the Deep Inelastic Nuclear Structure Functions
• The Physics of the Ultraviolet Renormalon
• On a subtle point of sum rules calculations: toy model
• What does the CCFR measurement of the Gross--Llewelyn Smith sum rule tell us?
• Perturbative reliability of the Higgs-boson coupling in the standard electroweak model
• The NNLO QCD analysis of the CCFR data for xF_3: is there still the room for the twist-4 terms?

Cited by in corpus (69)

• The Three-Loop Splitting Functions in QCD: The Non-Singlet Case
• The Three-Loop Splitting Functions in QCD: The Singlet Case
• NuSTEC White Paper: Status and Challenges of Neutrino-Nucleus Scattering
• Adler Function, Bjorken Sum Rule, and the Crewther Relation to Order alpha_s^4 in a General Gauge Theory
• Dynamical NNLO parton distributions
• NNLO evolution of deep-inelastic structure functions: the singlet case
• Parton distributions from deep-inelastic-scattering data
• Determination of the QCD Coupling ${\alpha }_s$
• A Review of Target Mass Corrections
• Nuclear PDFs from neutrino deep inelastic scattering
• Neutrino inclusive inelastic scattering off nuclei
• Non-Singlet Structure Functions at Three Loops: Fermionic Contributions
• Bjorken Sum Rule and pQCD frontier on the move
• Nucleon spin structure and pQCD frontier on the move
• Small x behavior of parton distributions. A study of higher twist effects
• Improved Calculation of F2 in Electroproduction and xF3 in Neutrino Scattering to NNLO and Determination of alpha_s
• Renormalization of Twist-Four Operators in QCD
• Analytic and "frozen" QCD coupling constants up to NNLO from DIS data
• Structure Functions
• Non-singlet structure functions beyond the next-to-next-to leading order
• Next-to-next-to-leading order QCD analysis of spin-dependent parton distribution functions and their uncertainties: Jacobi polynomials approach
• Isospin Dependence of Power Corrections in Deep Inelastic Scattering
• Bjorken polarized sum rule and infrared-safe QCD couplings
• Four loop anomalous dimension of the second moment of the non-singlet twist-2 operator in QCD
• Nucleon spin structure functions at NNLO in the presence of target mass corrections and higher twist effects
• The Jacobi Polynomials QCD analysis for the polarized structure function
• QCD analysis of nucleon structure functions in deep-inelastic neutrino-nucleon scattering: Laplace transform and Jacobi polynomials approach
• Nonsinglet parton distribution functions from the precise next-to-next-to-next-to leading order QCD fit
• Polarized Deeply Inelastic Scattering (DIS) Structure Functions for Nucleons and Nuclei
• Intercepts of the non-singlet structure functions
• QCD radiative and power corrections and Generalized GDH sum rules
• QCD coupling constant at NNLO from DIS data
• NNLO QCD contributions to the flavor non-singlet sector of ${\mathbf{F}}_2(\mathbf{x},{\mathbf{Q}}^2)$
• Analytical approaches to the determination of spin-dependent parton distribution functions at NNLO approximation
• Comparison of the Gottfried and Adler sum rules within the large-Nc expansion
• Charged current deep-inelastic scattering at three loops
• N^3LO fits to xF_3 data : ${\alpha }_s$ vs 1/Q^2 contributions
• Bjorken sum rule in QCD frameworks with analytic (holomorphic) coupling
• Scale- and scheme-independent extension of Pade approximants; Bjorken polarized sum rule as an example
• Impact of Higher Order and Soft Gluon Corrections on the Extraction of Higher Twist Effects in DIS
• Direct extraction of QCD LambdaMSbar from moments of structure functions in neutrino-nucleon scattering, using the CORGI approach
• Improved nonsinglet QCD analysis of the fixed-target DIS data
• Fractional Analytic QCD beyond Leading Order
• Fractional Analytic QCD beyond Leading Order in timelike region
• Theoretical tools for neutrino scattering: interplay between lattice QCD, EFTs, nuclear physics, phenomenology, and neutrino event generators
• Predictions for Neutrino Structure Functions
• The NNLO non-singlet QCD analysis of parton distributions based on Bernstein polynomials
• Achieving renormalization-scale- and scheme-independence in Pade-related resummation in QCD
• New type of parametrizations for parton distributions
• Bjorken sum rule in QCD with analytic coupling
• Infrared renormalons and analyticity structure in pQCD
• Extraction of alpha_s from the Gross--Llewellyn Smith sum rule using Borel resummation
• QCD analysis of structure functions in deep inelastic neutrino-nucleon scattering without using the orthogonal polynomials approach
• Improved analysis of moments of F3 in neutrino-nucleon scattering using the Bernstein polynomial method
• The Gross-Llewellyn Smith sum rule up to $\mathcal{O}({\alpha }_s^4)$-order QCD corrections
• Next-to-next-to-leading order fits to CCFR'97 $x{F}_3$ data and infrared renormalons
• Recent data analysis to revisit the spin structure function of nucleon in Laplace space
• The constraints on the non-singlet polarised parton densities from the infrared-renormalon model
• Transmutation of Scale Dependence into Truncation Uncertainty via RG-Improvement of the $R(s)$ Series
• Parton densities and structure functions at next-to-next-to-leading order and beyond
• alpha_s in DIS scheme
• $x{F}_3(x,Q^2)$ Structure Function and Gross-Llewellyn Smith Sum Rule with Nuclear Effect and Higher Twist Correction
• Aspects of QCD perturbative evolution
• Summary of Working Group 3 of the Neutrino Factory '02 Workshop
• Some Recent Developments in Perturbative Quantum Chromodynamics
• QCD analysis of $x{F}_3$ structure functions in deep-inelastic scattering: Mellin transform by Gegenbauer polynomial up to N${}^3$LO approximation
• Q^2 evolution of parton distributions at small x
• QCD analysis of valence structure functions using deep inelastic lepton-nucleon scattering
• Nucleon spin structure functions, considering target mass correction and higher twist effects at the NNLO accuracy and their transverse momentum dependence