Constraints on large scalar multiplets from perturbative unitarity

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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

Scientific paper

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.

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