Quark sector effects and glueball mass sensitivity estimates in Lorentz-violating supersymmetric QCD-like theories

TL;DR

This paper extends supersymmetric QCD-like theories to include Lorentz-violation effects, analyzing how these modifications influence glueball mass sensitivity and providing parametric estimates within a lattice Yang--Mills framework.

Contribution

It introduces a Lorentz-violating extension of supersymmetric QCD with a systematic classification of glueball observable dependencies and sensitivity estimates.

Findings

Glueball masses depend parametrically on the Lorentz-violating mass scale.

Sensitivity estimates suggest naturalness ranges for the Lorentz-violating parameter.

The framework provides a basis for future lattice studies of Lorentz-violating effects.

Abstract

The $N=1$ supersymmetric Yang--Mills--Carroll--Field--Jackiw (SYM--CFJ) model is extended to include the quark sector of supersymmetric quantum chromodynamics (SQCD) in the presence of Lorentz--symmetry violation (LSV). The Lorentz--violating data are carried by a spurion chiral superfield whose components define a purely spacelike background vector $v_\mu$ and fermionic bilinears, inducing a topological mass scale in the gauge sector. Working within a spurion effective field theory (EFT) and a small--LSV expansion, we classify the allowed parametric dependence of glueball observables on the induced mass scales. Using lattice Yang--Mills (YM) glueball masses only as a reference hadronic scale, we provide parametric sensitivity estimates and naturalness ranges for the topological mass $|v|$ relative to $\Lambda_{\rm YM}$.