An asymptotic-safety mechanism for chiral Yukawa systems

TL;DR

This paper proposes an asymptotic safety mechanism for chiral Yukawa systems, demonstrating a non-Gaussian fixed point and potential solutions to hierarchy problems using nonperturbative RG methods.

Contribution

It introduces a novel asymptotic safety approach to chiral Yukawa systems with specific symmetries, providing explicit fixed point analysis and mass predictions.

Findings

Identified a non-Gaussian fixed point for N_L=10

Computed critical exponents indicating asymptotic safety

Predicted masses for toy Higgs and top quark

Abstract

We introduce Weinberg's idea of asymptotic safety and pave the way towards an asymptotically safe chiral Yukawa system with a $U(N_L)_L \otimes U(1)_R$ symmetry in a leading-order derivative expansion using nonperturbative functional RG equations. As a toy model sharing important features with the standard model we explicitely discuss N_L=10 for which we find a non-Gaussian fixed point and compute its critical exponents. We observe a reduced hierarchy problem as well as predictions for the toy Higgs and the toy top mass.