I believe most SWAT teams have telephone/pager callouts, rather than traditional two-way radio dispatch.
Which agency is responsible for that, or if each agency calls out their own members after being notified by the requesting agency, I don't know.
Once on-scene, I don't know what tactical channel they would use, but my guess would be a simplex channel to limit the range they could be overheard by the scanner using public, if not an encrypted one.
Some kind of cellphone-based communications is also a possibility, as long as they dont find themselves in a no service area. This would provide a much more secure option, if an encrypted two-way radio channel isn't available.
These are just my best guesses, however.
John
Peoria