Conformal Approach to Particle Phenomenology

TL;DR

This paper explores a non-supersymmetric conformal field theory broken at the TeV scale as a novel approach to address the hierarchy problem, predicting a rich spectrum of new particles.

Contribution

It introduces a new mechanism using conformal invariance to solve the hierarchy problem with specific restrictions on field content and Yukawa couplings.

Findings

Predicts a spectrum of color and weak multiplets at TeV energies.

Identifies restrictive conditions on field content and couplings due to conformal invariance.

Proposes a class of conformal non-supersymmetric theories with testable predictions.

Abstract

We propose the existence of a non-supersymmetric conformal field theory softly broken at the TeV scale as a new mechanism for solving the hierarchy problem. We find the imposition of conformal invariance to be very restrictive with many predictive consequences, including severe restrictions on the field content, the number of families as well as on the structure of inter-family Yukawa couplings. A large class of potentially conformal non-supersymmetric theories are considered and some general predictions are made about the existence of a rich spectrum of color and weak multiplets in the TeV range.