Does ''Higgs sector'' mean there are many Higgs particle types?

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ndung200790
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Please teach me this:
Does ''Higgs sector'' mean there are many Higgs particle types?Does custodial SU(2) symmetry using mean maybe there is a theory of electroweak interaction more complex than theory of single Higgs scalar?
Thank you in advance.
 
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I mean there may be many type of Higgs boson in the theory of electroweak interaction because they say '' Higgs sector''.
 
There are models with multiple Higgs bosons (most notably supersymmetry), but I heard the term "Higgs sector" for the model with just one Higgs particle, too. The model of EW symmetry breaking is complex enough to call that part "Higgs sector".
 
Please tell me more some details of the role of custodial symmetry(SU(2)) in Standard Model extent.