Constraints on large scalar multiplets from perturbative unitarity

Abstract

We determine the constraints on the isospin and hypercharge of a scalar electroweak multiplet from partial-wave unitarity of tree-level scattering diagrams. The constraint from SU(2)_L interactions yields T <= 7/2 (i.e., n <= 8) for a complex scalar multiplet and T <= 4 (i.e., n <= 9) for a real scalar multiplet, where n = 2T+1 is the number of isospin states in the multiplet.

10 pages, 1 figure. v2: refs added, minor additions to text, submitted to PRD

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• New Mechanism for Neutrino Mass Generation and Triply Charged Higgs Bosons at the LHC
• A Higgs Quadruplet for Type III Seesaw and Implications for $\mu \to e\gamma$ and $\mu -e$ Conversion

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