$\beta'_{IR}$ at an Infrared Fixed Point in Chiral Gauge Theories

TL;DR

This paper calculates the scheme-independent derivative of the beta function at an IR fixed point in certain chiral gauge theories, providing insights into their conformal behavior.

Contribution

It introduces scheme-independent calculations of $eta'_{IR}$ for specific chiral gauge theories, advancing understanding of their IR fixed points.

Findings

Calculated $eta'_{IR}$ for SO(4k+2) theories with 2 ≤ k ≤ 4.

Computed $eta'_{IR}$ for E6 gauge theories with fundamental fermions.

Provides data relevant for understanding conformal phases in chiral gauge theories.

Abstract

We present scheme-independent calculations of the derivative of the beta function, denoted $\beta'_{IR}$, at a conformally invariant infrared (IR) fixed point, in several asymptotically free chiral gauge theories, namely SO($4k+2$) with $2 \le k \le 4$ with respective numbers $N_f$ of fermions in the spinor representation, and E$_6$ with fermions in the fundamental representation.