With a minimally modified dispersion relation for neutrinos, we reconsider
the constraints on superluminal neutrino velocities from bremsstrahlung effects
in the laboratory frame. Employing both the direct calculation approach and the
virtual Z-boson approach, we obtain the generic decay width and energy loss
rate of a superluminal neutrino with general energy. The Cohen-Glashow's
analytical results for neutrinos with a relatively low energy are confirmed in
both approaches. We employ the survival probability instead of the terminal
energy to assess whether a neutrino with a given energy is observable or not in
the OPERA experiment. Moreover, using our general results we perform
systematical analyses on the constraints arising from the Super-Kamiokande and
IceCube experiments.Comment: RevTex4, 14 pages, 5 figures, minor corrections, version to appear in
Phys. Rev.