Effect of the analytic and frozen coupling constants in QCD up to NNLO from DIS data

TL;DR

This paper analyzes deep inelastic scattering data using NNLO QCD with analytic and frozen coupling constants, showing improved agreement between theory and experiment by avoiding unphysical singularities.

Contribution

It introduces modifications of the strong coupling constant that eliminate the Landau pole and demonstrates their effectiveness in fitting DIS data at NNLO accuracy.

Findings

Improved fit to DIS data with modified coupling constants

Elimination of unphysical singularities in the coupling constant

Enhanced agreement between theory and experiment

Abstract

We give a short review of our recent analysis [1] of the deep inelastic scattering data (provided by BCDMS, SLAC, NMC) on F2 structure function in the non-singlet approximation with up to next-to-next-to-leading-order accuracy and analytic and frozen modifications of the strong coupling constant featuring no unphysical singularity (the Landau pole). Improvement of agreement between theory and experiment, with respect to the case of the standard perturbative definition of the strong coupling constant considered recently in [2], was observed.