About Statistical Questions Involved in the Data Analysis of the OPERA Experiment

Abstract

The authors of the OPERA experiment [arXiv:1109.4897] claim that "the measurement indicates an early arrival time of CNGS muon neutrinos with respect to the one computed assuming the speed of light in vacuum". In this note we analyze the statistical aspects of the experimental results presented in [arXiv:1109.4897], assuming that no hidden experimental bias exists. Due to statistical constraints, we show (through two different methods) that the experimental data presented in [arXiv:1109.4897] do not permit to conclude unambiguously with the existence of a superluminal behavior of neutrinos. The problem lies essentially in the interpretation of the data and not in their veracity.