Large scale separation and hadronic resonances from a new strongly interacting sector

TL;DR

This paper investigates the resonance spectrum of a conformal-influenced, chirally broken sector with mass-split flavors, revealing hyperscaling behavior and distinctive heavy-heavy meson properties unlike QCD.

Contribution

It provides numerical evidence for hyperscaling in a new strongly interacting sector with mass-split flavors, highlighting differences from QCD in resonance spectra.

Findings

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

Heavy-heavy mesons exhibit non-QCD-like behavior.

The spectrum shows hyperscaling due to conformal fixed point influence.

Abstract

A large separation of scales is frequently required by theories describing physics beyond the Standard Model. In mass-split models with some massless (light) and some heavy flavors, large scale separation arises by construction if the system is conformal in the ultraviolet but chirally broken in the infrared. Due to the presence of a conformal fixed point, such chirally broken systems show hyperscaling and have a highly constrained resonance spectrum that is significantly different from the QCD spectrum. We present numerical evidence for hyperscaling of both light-light and heavy-heavy meson resonances and show that they only depend on the ratio of the light and heavy flavor masses. The heavy-heavy spectrum is qualitatively different from QCD. The mass of heavy-heavy quarkonia e.g. is not proportional to the constituent quark mass.