Topological Diagnostics of CP Degeneracies in Long-Baseline Neutrino Oscillations with Non-Standard Interactions via Pancharatnam Open-Path Phases
Abstract
We investigate the topological signatures of neutral-current Non-Standard Interactions (NSI) in long-baseline neutrino oscillations by extending the open-path Pancharatnam geometric phase framework. Incorporating off-diagonal vector couplings (εeτ = |εeτ|eiϕeτ) into the discrete-layer matter Hamiltonian across the DUNE baseline (L = 1300 km), we analyze the state evolution for both neutrino (νμ→ νe) and antineutrino (ν̅μ→ ν̅e) appearance channels over the broadband energy spectrum Eν∈ [0.5, 8.0] GeV. Our analysis demonstrates that complex NSI phases imprint distinct, energy-dependent spectral dispersions onto the open-path geometric holonomies Φg(n) and their 𝒞𝒫-conjugate counterparts. By clarifying that these geometric phases manifest through gauge-invariant interference terms ΔΓnm rather than asymptotic single-channel measurements, we construct the 𝒞𝒫-violating geometric phase differences ΔΦgCP. We show that the interplay between these geometric dispersions and the matter-potential sign reversal under 𝒞𝒫-conjugation forces the neutrino and antineutrino degeneracy bands to intersect at non-parallel angles in the two-dimensional (δCP, ϕeτ) parameter space. This non-trivial topological intersection isolates a unique physical solution, providing a robust, independent diagnostic capable of breaking persistent parameter degeneracies even under realistic calorimetric energy smearing.
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BibTeX
@misc{razzaghi2026topological,
title = {{Topological Diagnostics of CP Degeneracies in Long-Baseline Neutrino Oscillations with Non-Standard Interactions via Pancharatnam Open-Path Phases}},
author = {Neda Razzaghi},
howpublished = {arXiv},
year = {2026},
month = nov,
doi = {10.48550/arxiv.2611.03748},
eprint = {2611.03748},
archivePrefix = {arXiv},
url = {https://arxiv.org/abs/2611.03748},
}
RIS
TY - UNPB
TI - Topological Diagnostics of CP Degeneracies in Long-Baseline Neutrino Oscillations with Non-Standard Interactions via Pancharatnam Open-Path Phases
AU - Neda Razzaghi
PY - 2026
DA - 2026/11/02
PB - arXiv
DO - 10.48550/arxiv.2611.03748
UR - https://arxiv.org/abs/2611.03748
AB - We investigate the topological signatures of neutral-current Non-Standard Interactions (NSI) in long-baseline neutrino oscillations by extending the open-path Pancharatnam geometric phase framework. Incorporating off-diagonal vector couplings (ε_eτ = |ε_eτ|e^iϕ_eτ) into the discrete-layer matter Hamiltonian across the DUNE baseline (L = 1300 km), we analyze the state evolution for both neutrino (ν_μ→ ν_e) and antineutrino (ν̅_μ→ ν̅_e) appearance channels over the broadband energy spectrum E_ν∈ [0.5, 8.0] GeV. Our analysis demonstrates that complex NSI phases imprint distinct, energy-dependent spectral dispersions onto the open-path geometric holonomies Φ_g^(n) and their 𝒞𝒫-conjugate counterparts. By clarifying that these geometric phases manifest through gauge-invariant interference terms ΔΓ_nm rather than asymptotic single-channel measurements, we construct the 𝒞𝒫-violating geometric phase differences ΔΦ_g^CP. We show that the interplay between these geometric dispersions and the matter-potential sign reversal under 𝒞𝒫-conjugation forces the neutrino and antineutrino degeneracy bands to intersect at non-parallel angles in the two-dimensional (δ_CP, ϕ_eτ) parameter space. This non-trivial topological intersection isolates a unique physical solution, providing a robust, independent diagnostic capable of breaking persistent parameter degeneracies even under realistic calorimetric energy smearing.
ER -