# Fate of a recent conformal fixed point and $\beta$-function in the SU(3) BSM gauge theory with ten massless flavors

## TL;DR

This study uses lattice simulations to investigate the infrared behavior of SU(3) gauge theory with ten flavors, finding no evidence of a fixed point in the gauge coupling's beta function, contrary to some previous claims.

## Contribution

The paper provides the first lattice simulation analysis of the 10-flavor SU(3) model, challenging prior claims of an infrared fixed point and aligning with higher-loop perturbative predictions.

## Key findings

- No beta-function fixed point observed in the studied range.
- Results qualitatively agree with 5-loop f8MS predictions.
- Contradicts previous studies claiming an infrared fixed point.

## Abstract

SU(3) gauge theory with $N_f$ fermions in the fundamental representation serves as a theoretical testing ground for possible infrared conformal behavior, which could play a role in BSM composite Higgs models. We use lattice simulations to study the 10-flavor model, for which it has been claimed there is an infrared fixed point in the gauge coupling $\beta$-function. Our results suggest the opposite conclusion, namely we find no $\beta$-function fixed point in the explored range, with qualitative agreement with the 5-loop $\overline{MS}$ prediction. We comment on the inconsistency between our findings and other studies.