Perturbative Higgs CP violation, unitarity and phenomenology

Abstract

Perturbative probability conservation provides a strong constraint on the presence of new interactions of the Higgs boson. In this work we consider CP violating Higgs interactions in conjunction with unitarity constraints in the gauge-Higgs and fermion-Higgs sectors. Injecting signal strength measurements of the recently discovered Higgs boson allows us to make concrete and correlated predictions of how CP-violation in the Higgs sector can be directly constrained through collider searches for either characteristic new states or tell-tale enhancements in multi-Higgs processes.

10 pages, 7 figures

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• Sensitivity to $\mathcal{C}\mathcal{P}$-violating effective couplings in the top-Higgs sector
• Algebra of distributions of quantum-field densities and space-time properties