  The SU(4) gauge theory with two flavors of Dirac fermions in the sextet
representation shares features of a candidate for a composite Higgs model. The
analogue of the Higgs multiplet of the Standard Model lives in the Goldstone
manifold resulting from spontaneous breaking of the global symmetry SU(4) to
SO(4). The Higgs potential arises from interaction with the particles of the
Standard Model. We have computed the gauge boson contribution to the Higgs
potential, using valence overlap fermions on a Wilson-clover sea. The
calculation is similar to that of the electromagnetic mass splitting of the
pion multiplet in QCD.
