SEARCH FOR THE FOOTPRINTS OF NEW PHYSICS WITH LABORATORY AND COSMIC NEUTRINOS.

Area of Science:

• Particle Physics
• Astrophysics
• Quantum Gravity

Background:

• High energy neutrinos offer unique opportunities to probe fundamental physics.
• Lorentz invariance violation (LIV) is a potential signature of quantum gravity (QG) theories.
• Effective Field Theory (EFT) provides a framework to study potential deviations from standard physics.

Purpose of the Study:

• To review observationally testable consequences of LIV.
• To explore how neutrino observations can constrain LIV models.
• To investigate the implications of LIV for quantum gravity.

Main Methods:

• Utilizing the effective field theory (EFT) formalism.
• Postulating additional Lorentz invariance violating (LIV) terms in particle Lagrangians.
• Examining observational consequences of these LIV terms, particularly for neutrinos.

Main Results:

• Established a framework for testing LIV using neutrino data.
• Identified specific LIV operators (mass dimension five and six) as potential probes.
• Demonstrated how to place limits on these operators.

Conclusions:

• Neutrino observations are powerful tools for searching for new physics beyond the Standard Model.
• Constraining LIV through neutrino experiments can provide insights into quantum gravity.
• The EFT approach offers a systematic way to explore and limit new physics scenarios.