  Working in a two-representation lattice gauge theory that is close to a
composite Higgs model, we calculate the low-energy constant CLR which controls
the contribution of the electroweak gauge bosons to the Higgs potential. In
QCD, the corresponding low-energy constant governs the mass splitting of the
pion multiplet. Taking the continuum and chiral limits, we find that CLR, in
units of the pseudoscalar decay constant, is roughly of the same size as its
QCD counterpart.
