We derive the complete set of continuous maximal symmetries for standard model (SM) alignment that may occur in the tree-level scalar potential of multi-Higgs doublet models, with $n>2$ Higgs doublets. Our results generalize the symmetries of SM alignment, without decoupling of large mass scales or fine-tuning, previously obtained in the context of two-Higgs doublet models.

• Received 8 February 2016

DOI:https://doi.org/10.1103/PhysRevD.93.075012

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Published by the American Physical Society