Anomalous Dimensions of Conformal Baryons

TL;DR

This paper calculates the anomalous dimensions of baryon operators in a three-color conformal gauge theory, revealing they are small and always less than fermion mass anomalous dimensions, challenging existing compositeness models.

Contribution

It provides the first detailed perturbative calculation of baryon anomalous dimensions across the conformal window in a three-color theory.

Findings

Baryon anomalous dimensions are small within the conformal window.

Baryon anomalous dimensions are always less than fermion mass anomalous dimensions.

Results challenge the partial compositeness paradigm.

Abstract

We determine the anomalous dimensions of baryon operators for the three color theory as function of the number of massless flavours within the conformal window to the maximum known order in perturbation theory. We show that the anomalous dimension of the baryon is controllably small, within the $\delta$-expansion, for a wide range of number of flavours. We also find that this is always smaller than the anomalous dimension of the fermion mass operator. These findings challenge the partial compositeness paradigm.