Exclusion limits obtained for the scale of New Physics (horizontal axis) for dimension-three to dimension-eight SME coefficients at IceCube. Limits are obtained for each dimension (left vertical axis) corresponding to different assumptions on flavour content at the production and also on the dominant New Physics mixing scenarios (right vertical axis). Green and blue shaded regions are excluded with a very strong strength-of-evidence (\mathcal{B} > 10^{1.5}) according to Jeffreys' scale. The grey shaded regions show the maximum reach of obtaining a limit. The hashed region shows the previous IceCube limit.