Symmetries for SM Alignment in multi-Higgs Doublet Models
Apostolos Pilaftsis

TL;DR
This paper identifies all possible continuous maximal symmetries in the scalar potential of multi-Higgs Doublet Models with more than two doublets, extending previous results from two-Higgs models.
Contribution
It provides a comprehensive classification of symmetries for SM alignment in multi-Higgs Doublet Models, without relying on decoupling or fine-tuning.
Findings
Complete set of continuous maximal symmetries derived
Generalization from two-Higgs to multi-Higgs models
No need for decoupling or fine-tuning
Abstract
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 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.
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