Finding patterns within perturbative approximation in QCD and indirect relations

TL;DR

This paper investigates the BLM approach in QCD to improve higher order correction predictions, examining normalization effects and the sufficiency of BLM patterns for accurate predictions.

Contribution

It introduces two procedures to enhance BLM-based predictions and analyzes the impact of normalization on BLM patterns in QCD calculations.

Findings

Normalization can significantly alter BLM patterns

Two new procedures improve prediction accuracy

BLM pattern sufficiency depends on context

Abstract

We make an extensive use of BLM approach to study details of predicting higher order corrections based on the approach. This way we are able to test two procedures to improve the prediction process. Beside the main line of the two procedures it is found out that overall normalization could change BLM patterns effectively. Finally we try to find out whether a BLM pattern is sufficient for a prediction or not, and how one should use such a pattern.