Fractional APT in QCD in the Euclidean and Minkowski regions

TL;DR

This paper introduces Fractional APT (FAPT), an extension of Analytic Perturbation Theory in QCD, enabling improved application of renormalization group evolution and factorization in both Euclidean and Minkowski regions.

Contribution

It develops FAPT, a novel approach that extends APT to fractional powers, enhancing QCD calculations in Euclidean and Minkowski domains.

Findings

FAPT improves the analytic continuation of QCD observables.

FAPT facilitates more accurate renormalization group evolution.

FAPT enhances the applicability of QCD factorization techniques.

Abstract

We describe the development of Analytic Perturbation Theory (APT) in QCD, called Fractional APT (FAPT), which has been suggested to apply the renormalization group evolution and QCD factorization technique in the framework of APT.