New extended Crewther-type relation

TL;DR

This paper introduces a conjecture about the structure of conformal symmetry breaking in the generalized Crewther relation, leading to new connections between QCD expansion coefficients of key sum rules.

Contribution

It proposes a novel conjecture on the conformal symmetry breaking term in the generalized Crewther relation, revealing new relations between QCD expansion coefficients.

Findings

New relations between QCD expansion coefficients of the Adler D-function and Bjorken sum rule

Conjecture about the detailed structure of conformal symmetry breaking

Implications for understanding conformal symmetry in QCD

Abstract

We propose a conjecture about the detailed structure of the conformal symmetry breaking term in the generalized Crewther relation. We conclude that this conjecture leads to new relations between the QCD expansion coefficients of the Adler D-function and the polarized Bjorken sum rule B$_{jp}$