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

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 $\mathrm{\mid }v\mathrm{\mid }$ relative to ${\mathrm{\Lambda }}_{\mathrm{Y}\mathrm{M}}$.