QCD effective charges and the structure function $F_{2}$ at small-$x$: Higher twist effects

D. Hadjimichef; E. G. S. Luna; M. Peláez

doi:10.1016/j.physletb.2020.135350

paper

QCD effective charges and the structure function $F_{2}$ at small- $x$ : Higher twist effects

arXiv:1907.07577 · doi:10.1016/j.physletb.2020.135350

Abstract

We consider the effect of higher twist operators of the Wilson operator product expansion in the structure function $F_{2} (x, Q^{2})$ at small- $x$ , taking into account QCD effective charges whose infrared behavior is constrained by a dynamical mass scale. The higher twist corrections are obtained from the renormalon formalism. Our analysis is performed within the conventional framework of next-to-leading order, with the factorization and renormalization scales chosen to be $Q^{2}$ . The infrared properties of QCD are treated in the context of the generalized double-asymptotic-scaling approximation. We show that the corrections to $F_{2}$ associated with twist-four and twist-six are both necessary and sufficient for a good description of the deep infrared experimental data.

19 pages, 6 figures, text improved, references added, gluon distribution function calculated. To be published in Phys. Lett. B

QCD effective charges and the structure function F2​ at small-x: Higher twist effects

Abstract

QCD effective charges and the structure function $F_{2}$ at small- $x$ : Higher twist effects