# A complete asymptotically safe embedding of the Standard Model

## TL;DR

This paper introduces the Tetrad Model, an asymptotically safe embedding of the Standard Model with a novel symmetry-breaking mechanism, leading to realistic low-energy physics and potential insights into flavor hierarchy.

## Contribution

It presents a new asymptotically safe model embedding the Standard Model with radiative symmetry breaking and flavor structure emergence.

## Key findings

- The model achieves an IR Standard Model with Higgs fields carrying generation indices.
- Higgs mass-squareds develop a hierarchical structure from UV symmetry.
- The extended-Pati-Salam symmetry is broken radiatively via Coleman-Weinberg mechanism.

## Abstract

We present and discuss the "Tetrad Model", a large colour/flavour embedding of the Standard model which has an interacting ultraviolet fixed point. It is shown that its extended-Pati-Salam symmetry is broken radiatively via the Coleman-Weinberg mechanism, while the remaining electroweak symmetry is broken when mass-squared terms run negative. In the IR the theory yields just the Standard Model, augmented by the fact that the Higgs fields carry the same generation indices as the matter fields. It is also shown that the Higgs mass-squareds develop a hierarchical structure in the IR, from a UV theory that is asymptotically flavour symmetric, opening up an interesting direction for explaining the emergence of the observed flavour structure.