Lattice simulations of technicolour theories with adjoint fermions and supersymmetric Yang-Mills theory

TL;DR

This paper investigates the spectrum of theories with adjoint fermions, comparing conformal and confining behaviors, and explores supersymmetric Yang-Mills theory to distinguish different dynamical scenarios relevant for beyond-standard-model physics.

Contribution

It provides new lattice simulation results for adjoint QCD and supersymmetric Yang-Mills theories, aiding in understanding their conformal or confining nature and phenomenological implications.

Findings

Spectrum includes unique fermionic states not in QCD

Results support distinctions between conformal and confining scenarios

Preliminary insights into scalar meson states

Abstract

Theories with fermions in the adjoint representation have several interesting applications in extensions of the standard model. The conformal window for these theories is of particular interest for technicolour extensions. We present here our newest results for the spectrum of $N_f=2$ adjoint QCD and compare them with the predictions for a conformal behaviour. The comparison with supersymmetric Yang-Mills theory, investigated with the same methods, will help to distinguish more clearly the conformal and the confining scenario. The spectrum includes additional fermionic states that are not present in QCD. We provide results for the mass of these states and discuss their phenomenological relevance. In addition we have done preliminary investigations of the singlet scalar meson state.