Superluminal neutrinos and quantum cross-correlation theory of neutrino source location
Based on the developed cross-correlation theory for remote location of neutrino source with two-detector setup for neutrino detection the modification of arrangement of the OPERA experiment is suggested. Within the framework of computing experiment based on the OPERA experimental data we show that the use of this theory makes it possible not only to determine with high accuracy the delay time between neutrino signals but to eliminate the errors of blind analysis by which all necessary time corrections for determination of signal “technologically unremovable” delay time between CERN and GSL are performed.
💡 Research Summary
The paper proposes a novel method for locating a neutrino source and measuring the time‑of‑flight between CERN and the Gran Sasso Laboratory by exploiting cross‑correlation of signals recorded in two spatially separated detectors. The authors begin by modeling neutrino bursts as Poisson processes with detector‑specific efficiencies (η₁, η₂) and background noise. Under this statistical framework they derive the expected value and variance of the cross‑correlation function R(τ)=∫x₁(t)x₂(t+τ)dt, showing that the uncertainty in the estimated delay τ scales as √
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