Large scale separation and resonances within LHC range from a prototype BSM model

TL;DR

This paper investigates a conformal BSM model with flavor mass splitting, revealing hyperscaling and unique resonance spectra that could produce detectable signals at the LHC.

Contribution

It derives hyperscaling relations for a conformal BSM model with flavor mass splitting and confirms their validity through numerical simulations, highlighting distinctive resonance features.

Findings

Resonance masses depend only on the ratio of light to heavy flavors.

Heavy-heavy resonances are qualitatively different from QCD.

Some resonances are within reach of the LHC.

Abstract

Many theories describing physics beyond the Standard Model rely on a large separation of scales. Large scale separation arises in models with mass-split flavors if the system is conformal in the ultraviolet but chirally broken in the infrared. Because of the conformal fixed point, these systems exhibit hyperscaling and a highly constrained resonance spectrum. We derive hyperscaling relations and investigate the realization of one such system with four light and eight heavy flavors. Our numerical simulations confirm that both light-light and heavy-heavy resonance masses show hyperscaling and depend only on the ratio of the light and heavy flavor masses. The heavy-heavy spectrum is qualitatively different from QCD and exhibits quarkonia with masses not proportional to the constituent quark mass. These resonances are only a few times heavier than the light-light ones, which would put them within reach of the LHC.