Prospects of Constraining Beyond Standard Model Physics with the Trinity Neutrino Observatory

Lorentz Invariance Violation (LIV) is the hypothetical breaking of a fundamental symmetry of spacetime—the symmetry asserting that the laws of physics are identical for all observers in uniform motion. Detecting LIV would reshape our view of modern physics. The effects of LIV can be seen in extremely small scales, making neutrino oscillation patterns a sensitive probe for detecting such effects. Specifically, LIV effects increase as the energy of a neutrino increases. Therefore, oscillation patterns of Ultra-high-energy (UHE, > 1 PeV) neutrinos are an important tool for setting constraints on LIV parameters. Such objectives require a measurement of the flavor composition of the diffuse neutrino flux at Earth, but current UHE neutrino telescopes do not hold the capacity for such measurements. To effectively measure the flavor composition of neutrinos at Earth, we combine the sensitivities of an all-flavor sensitive neutrino telescope and a tau-sensitive neutrino telescope, Trinity. The Trinity telescope is a proposed instrument that can detect Earth-skimming tau neutrinos with energies ranging from 1 PeV to 10 EeV using air-shower imaging techniques. LIV has not been constrained in this energy range before, and through a joint analysis, we forecast improved constraints on LIV.