Analysis of the interpolating currents of baryons: anomalous dimension

TL;DR

This paper calculates the one-loop anomalous dimensions of baryon interpolating currents, such as those for Lambda_Q and proton, providing essential data for precise QCD and Standard Model tests.

Contribution

It offers new, precise calculations of anomalous dimensions for baryon interpolating currents, addressing vagueness in previous literature.

Findings

Calculated one-loop anomalous dimensions for Lambda_Q and proton currents

Provides data crucial for future QCD and Standard Model analyses

Clarifies previous uncertainties in baryon current anomalous dimensions

Abstract

The anomalous dimensions for the interpolating currents of baryons are indispensable inputs in a serious QCD analysis of baryon. However, the results in the literature are vague. In view of this, in this work, we investigate the one-loop anomalous dimensions for some interpolating currents such as those of $\Lambda_{Q}$ and proton. Under the requirement of precise testing the Standard Model, this study is essential and significant for the QCD analysis in the future.