PMC$_\infty$: Infinite-Order Scale-Setting method using the Principle of Maximum Conformality and preserving the Intrinsic Conformality

TL;DR

This paper introduces PMC$_ Infty$, a novel infinite-order scale-setting method in perturbative QCD that eliminates scale ambiguity while preserving gauge theory conformality, demonstrated through jet observables in electron-positron annihilation.

Contribution

The paper presents PMC$_ Infty$, a new scale-setting approach that maintains intrinsic conformality and improves the precision of perturbative QCD calculations.

Findings

PMC$_ Infty$ reduces scale ambiguity in pQCD.

The method preserves gauge theory conformality.

Comparison shows PMC$_ Infty$ outperforms conventional methods.

Abstract

We show results for Thrust and C-parameter in $e^+ e^-$ annihilation to 3 jets obtained using the recently developed new method for eliminating the scale ambiguity and the scheme dependence in pQCD namely the Infinite-Order Scale-Setting method using the Principle of Maximum Conformality (PMC$_\infty$). This method preserves an important underlying property of gauge theories: intrinsic Conformality (iCF). It leads to a remarkably efficient method to eliminate the conventional renormalization scale ambiguity at any order in pQCD. A comparison with Conventional Scale Setting method (CSS) is also shown.