  The ferromagnetic quantum phase transition in clean metals with a negligible
spin-orbit interaction is known to be first order due to a coupling of the
magnetization to soft fermionic particle-hole excitations. A spin-orbit
interaction gives these excitations a mass, suggesting the existence of a
ferromagnetic quantum critical point in metals with a strong spin-orbit
interaction. We show that this expectation is not borne out in a large class of
materials with a Dirac spectrum, since the chirality degree of freedom leads to
new soft modes that again render the transition first order.
