description For experiments where L/E is not small, neutrino masses dominate the oscillation effects. In these cases, Lorentz violation can be introduced as a perturbative effect in the form where h0 is the standard massive-neutrino Hamiltonian, and δh contains the Lorentz-breaking mSME terms. This limit of the general theory was introduced in a 2009 publication, and includes both neutrinos and antineutrinos in the 6 × 6 Hamiltonian formalism (1). In this work, the oscillation probability takes the form where is the standard expression. One of the results is that, at leading order, neutrino and antineutrino oscillations are decoupled from one another. This means neutrino–antineutrino oscillations are a second-order effect. In the two-flavor limit, the first-order correction introduced by Lorentz violation to atmospheric neutrinos takes the simple form This expression shows how the baseline of the experiment can enhance the effects of the mSME coefficients in δh. This perturbative framework can be applied to most of the long-baseline experiments. It is also applicable in some short-baseline experiments with low-energy neutrinos. An analysis has been done in the case of several long-baseline experiments (DUSEL, ICARUS, K2K, MINOS, NOvA, OPERA, T2K, and T2KK), showing high sensitivities to the coefficients for Lorentz violation. Data analysis has been performed using the far detector of the MINOS experiment to set limits on the coefficients and . These results are summarized in the Data Tables for Lorentz and CPT violation. See also Standard-Model Extension Lorentz-violating electrodynamics Antimatter Tests of Lorentz Violation Bumblebee models Neutrino oscillation Tests of special relativity Test theories of special relativity External links Background information on Lorentz and CPT violation Data Tables for Lorentz and CPT Violation References Neutrinos