Conformal Expansions: A Template for QCD Predictions

TL;DR

This paper explores conformal expansions in QCD to improve prediction accuracy by reducing scheme ambiguities and factorial growth issues, linking them to skeleton and Banks-Zaks expansions, and discussing BLM scale-setting.

Contribution

It introduces a framework connecting conformal expansions with skeleton and Banks-Zaks expansions, and proposes new criteria for BLM scale-setting applicability.

Findings

Conformal expansions help avoid renormalization ambiguities.

A relation between skeleton expansion and Banks-Zaks expansion is established.

New criteria for BLM scale-setting are proposed.

Abstract

The use of conformal expansions for predictions in quantum chromodynamics is discussed as a way to avoid renormalization scheme and scale ambiguities, as well as factorial growth of perturbative coefficients due to renormalons. Special emphasis is given to the properties of an assumed skeleton expansion and its relation to the Banks-Zaks expansion. The relation of BLM scale-setting to the skeleton expansion is also discussed and new criteria for the applicability of BLM scale-setting are presented.