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Discrete symmetries in the three-Higgs-doublet model
N-Higgs-doublet models (NHDM) are among the most popular examples of
electroweak symmetry breaking mechanisms beyond the Standard Model. Discrete
symmetries imposed on the NHDM scalar potential play a pivotal role in shaping
the phenomenology of the model, and various symmetry groups have been studied
so far. However, in spite of all efforts, the classification of finite
Higgs-family symmetry groups realizable in NHDM for any N>2 is still missing.
Here, we solve this problem for the three-Higgs-doublet model by making use of
Burnside's theorem and other results from pure finite group theory which are
rarely exploited in physics. Our method and results can be also used beyond
high-energy physics, for example, in study of possible symmetries in three-band
superconductors.Comment: 5 pages; v2: expanded introduction, some minor corrections, matches
the published versio
Reply to comment ``On the test of the modified BCS at finite temperature''
This is our formal Reply to revised version (v2) of arXiv: nucl-th/0510004v2.Comment: accepted in Physical Review
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