Neutrino speed anomaly as signal of Lorentz violation

We make a reanalysis on the issue of neutrino speed anomaly by taking into account the newly reported data from the ICARUS experiment and other CNGS collaborations. We examine the consequence of the Lorentz violation on the neutrino speed in a new framework of standard model supplement (SMS), and find that the Lorentz violating parameters are constrained at least one order stronger than that of the earlier OPERA report. The combination with other phenomenological considerations puts more stringent constraints on the Lorentz violation of neutrinos.