Antiparticle for Higgs boson?

Some scientists say that for every particle there exist an anti-particle. If this is true, does it mean that there would be an anti-particle for the Higgs boson also? Could it be that the massless particles would interact with this anti-particle for the Higgs boson?

My understanding is that antiparticles are one particle states (irreducible representations in quantum state space of the Poincaré group see my answer here of what this means) that are mapped into one another by the CPT operator (or better written $C\circ P\circ T$) - time reversal followed by parity inversion followed by charge conjugation.
• @duckwon. I assume "alone" means "no need for associated production" . So, e.g., in a strong process, $K^0$ cannot emerge "alone", but in association with , e.g., $\bar{K}^0$, because, in this case, strangeness is a conserved quantity "such as electric charge.... or the like", all right. But, of course, it might be for Rod to clarify. My sense is the OP may have developed qualms by the complex Higgs doublet not being its CPT conjugate, but as I indicated, the Higgs and the goldston of $\tau_3$ are self-conjugate. – Cosmas Zachos Jan 15 '18 at 0:51