Federation ships commonly will have blue beams, Romulan ships red beams. The exception being Robau's ship. It has purple beams 'cause hes a badass.
I hope they get away from assigning stereotypical ideas of blues equaling the 'good guys', 'bad guys' have red.
One logical way to portray the weapon beam colors (imo) is, (and this is how I hope the Producers saw it too for this film) to have the color of the beam match the intensity setting. Stun settings would be in the 'cool' color ranging up to 'hot' colors for vaporizing.