RE =

In this brief paper, we show the neutrino velocity discrepancy obtained in the OPERA experiment may be due to the local Doppler effect between a local clock attached to a given detector at Gran Sasso, say CG, and the respective instantaneous clock crossing CG, say CC, being this latter at rest in the instantaneous inertial frame having got the velocity of rotation of CERN about Earth’s axis in relation to the fixed stars. With this effect, the index of refraction of the Earth crust may accomplish a refractive effect by which the neutrino velocity through the Earth crust turns out to be small in relation to the speed of light in the empty space, leading to an encrusted discrepancy that may have contamined the data obtained from the block of detectors at Gran Sasso, leading to a time interval excess that did not provide an exact match between the shift of the protons PDF (probability distribution function) by TOFc and the detection data at Gran Sasso via the maximum likelihood matching. 1 Definitions and Solution Firstly, the effect investigated here is not the same one that was investigated in [2], but, throughout this paper, we will use some useful configurations defined in [2]. The relative ve-locity between Gran Sasso and CERN due to the Earth daily rotation may be written: ~vG −~vC = 2ωR sinαêz, (1) where êz is a convenient unitary vector, the same used in [2], ω is the norm of the Earth angular velocity vector about its daily rotation axis, being R given by