Extraction of ${\alpha }_s$ from deep inelastic scattering at large $x$

Abstract

We present an analysis of the role of the running coupling constant at the intersection of perturbative and nonperturbative QCD. Although the approaches that have been considered so far in these two regimes appear to be complementary to each other, a unified description might derive through the definition of the effective coupling, as they both provide ways of analyzing its freezing at low values of the scale. We extract the effective coupling from all available experimental data on the unpolarized structure function of the proton, $F_2^p$, at large values of Bjorken $x$, including the resonance region. We suggest that parton-hadron duality observed in this region can be explained if nonperturbative effects are included in the coupling constant. The outcome of our analysis is a smooth transition from perturbative to nonperturbative QCD physics, embodied in the running of the coupling constant at intermediate scales.

11pages, 5 figures, aps bibliography style

References in corpus (6)

• Parton distributions for the LHC
• Dynamical parton distributions of the nucleon and very small-x physics
• Non-perturbative comparison of QCD effective charges
• On the running coupling constant in QCD
• Determination of the effective strong coupling constant alpha_{s,g_1}(Q^2) from CLAS spin structure function data
• Non-perturbative momentum dependence of the coupling constant and hadronic models

Cited by in corpus (26)

• The QCD Running Coupling
• Connecting the Hadron Mass Scale to the Fundamental Mass Scale of Quantum Chromodynamics
• On the Interface between Perturbative and Nonperturbative QCD
• anQCD: a Mathematica package for calculations in general analytic QCD models
• Testing momentum dependence of the nonperturbative hadron structure in a global QCD analysis
• Hadronic vacuum polarization function within dispersive approach to QCD
• Gluon Propagator in Fractional Analytic Perturbation Theory
• Techniques of evaluation of QCD low-energy physical quantities with running coupling with infrared fixed point
• Interplay of Threshold Resummation and Hadron Mass Corrections in Deep Inelastic Processes
• What are the low-$Q$ and large-$x$ boundaries of collinear QCD factorization theorems?
• Alternative way to understand the unexpected results of the JLab polarization experiments to measure the Sachs form factors ratio
• Inclusive tau lepton hadronic decay in vector and axial-vector channels within dispersive approach to QCD
• Dispersive approach to QCD: tau lepton hadronic decay in vector and axial-vector channels
• Perturbative QCD in acceptable schemes with holomorphic coupling
• Large-x connections of nuclear and high-energy physics
• Soft asymptotics with mass gap
• Dispersive approach to QCD and hadronic contributions to electroweak observables
• Hadronic contributions to electroweak observables within DPT
• Evaluations of low-energy physical quantities in QCD with IR freezing of the coupling
• Depletion of atmospheric neutrino fluxes from parton energy loss
• $R_{e^{+}{e}^{-}}$ and an effective QCD charge
• Exploring Nucleon Structure with the Self-Organizing Maps Algorithm
• Confinement with Perturbation Theory, after All?
• Charmless $B_c\to VV$ decays in the QCD factorization approach
• Lectures on Bound states
• Phenomenology of ${\alpha }_s$ at intermediate energy: the quark-hadron duality approach