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

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 ${\Lambda }_{\mathrm{YM}}$.

11 pages, 5 figures. Accepted version for publication in Annals of Physics

References in corpus (21)

• Lorentz-Violating Extension of the Standard Model
• CPT Violation and the Standard Model
• Data Tables for Lorentz and CPT Violation
• The glueball spectrum from an anisotropic lattice study
• Signals for Lorentz Violation in Electrodynamics
• Glueball Spectrum and Matrix Elements on Anisotropic Lattices
• Lorentz Violation in Supersymmetric Field Theories
• On the aether-like Lorentz-breaking actions
• Supersymmetry and Lorentz Violation
• Aether Compactification
• SU(N) gauge theories in 3+1 dimensions: glueball spectrum, string tensions and topology
• On the superfield supersymmetric aether-like Lorentz-breaking models
• Supergauge theories in aether superspace
• The photino sector and a confining potential in a supersymetric Lorentz-symmetry-violating model
• On Lorentz-Violating Supersymmetric Quantum Field Theories
• Supersymmetric QCD on the Lattice: An Exploratory Study
• The Lorentz- and CPT-Violating Standard Model Extension in Chiral Perturbation Theory
• Supersymmetric QCD: Renormalization and Mixing of Composite Operators
• Non-Abelian aether-like term in four dimensions
• Aspects of the gauge boson-gaugino mixing in a supersymmetric scenario with Lorentz-symmetry violation
• Physics-informed neural networks viewpoint for solving the Dyson-Schwinger equations of quantum electrodynamics