I'm assuming the LHC can create a Higgs and an anti-Higgs boson. If so, would their fields be identical with respect to mass effects? How would LHC detectors distinguish between the two bosons?
The Higgs is a real scalar field, so there's no "anti-Higgs" particle. All imaginary part of initial complex doublet are absorbed by the weak gauge bosons (Ws and Z), only a real scalar field remains after this.