Orthogonal color bases for exotic representations

A complication in the treatment of any strongly charged particle is the SU(3) color structure. For the standard model quarks antiquarks and gluons there are various well-known strategies for dealing with the color structure, including orthogonal multiplet bases. For exotic representations, beyond triplets, antitriplets and octets, non-orthogonal bases have been systematically worked out only recently. In this letter we demonstrate how to construct orthogonal multiplet bases also for processes including exotic representations.