In fact one such Higgs potential would be precisely V ( Φ Φ ) = det [ ( Φ Φ − − m e ) ] 2 + det [ ( Φ Φ − − m μ μ ) ] 2 + det [ ( Φ Φ − − m τ τ ) ] 2 which when expanded out the determinant in terms of traces would simplify using the Koide relations.