  A framework is presented for the factorization of high-energy hadronic
processes in the presence of Lorentz and CPT violation. The comprehensive
effective field theory describing Lorentz and CPT violation, the Standard-Model
Extension, is used to demonstrate factorization of the hadronic tensor at
leading order in electroweak interactions for deep inelastic scattering and for
the Drell-Yan process. Effects controlled by both minimal and nonminimal
coefficients for Lorentz violation are explored, and the equivalent
parton-model description is derived. The methodology is illustrated by
determining cross sections and studying estimated attainable sensitivities to
Lorentz violation using real data collected at the Hadronen-Elektronen Ring
Anlage and the Large Hadron Collider and simulated data for the future US-based
electron-ion collider.
