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<p>Lorentz invariance is a fundamental symmetry of modern physics, and any violation would indicate physics beyond the Standard Model. In this work, we investigate the effects of Lorentz invariance violation (LIV) on neutrino oscillations within the framework of the Standard Model Extension (SME). LIV contributions are treated as small perturbations to the standard matter Hamiltonian and implemented in the GLoBES simulation framework to enable a numerical analysis of oscillation probabilities. Both CPT-odd (<InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(a_{\alpha \beta }\)</EquationSource> </InlineEquation>) and CPT-even (<InlineEquation ID="IEq2"> <EquationSource Format="TEX">\(c_{\alpha \beta }\)</EquationSource> </InlineEquation>) LIV operators are studied independently, allowing a systematic comparison of their phenomenological impact. Using the Deep Underground Neutrino Experiment (DUNE) as a representative long-baseline experiment, we analyze deviations from standard oscillation probabilities in the presence of LIV and examine the resulting modifications to the CP probability difference. These results highlight the importance of accounting for LIV effects in precision CP-violation studies at future long-baseline neutrino experiments.</p>

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Distinguishing CPT-odd and CPT-even contributions of Lorentz invariance violation in neutrino oscillations

  • 期刊论文

  • 发表日期：

    2026年5月9日

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  • Priyankush Deka,
  • Arnab Sarker,
  • Moon Moon Devi,
  • Sushant K. Raut

摘要

Lorentz invariance is a fundamental symmetry of modern physics, and any violation would indicate physics beyond the Standard Model. In this work, we investigate the effects of Lorentz invariance violation (LIV) on neutrino oscillations within the framework of the Standard Model Extension (SME). LIV contributions are treated as small perturbations to the standard matter Hamiltonian and implemented in the GLoBES simulation framework to enable a numerical analysis of oscillation probabilities. Both CPT-odd ( \(a_{\alpha \beta }\) ) and CPT-even ( \(c_{\alpha \beta }\) ) LIV operators are studied independently, allowing a systematic comparison of their phenomenological impact. Using the Deep Underground Neutrino Experiment (DUNE) as a representative long-baseline experiment, we analyze deviations from standard oscillation probabilities in the presence of LIV and examine the resulting modifications to the CP probability difference. These results highlight the importance of accounting for LIV effects in precision CP-violation studies at future long-baseline neutrino experiments.