Extension of automated symmetry breaking to general BSM patterns

Extend the automated symmetry-breaking functionality beyond the Standard Model electroweak symmetry-breaking pattern to various beyond-the-Standard-Model symmetry-breaking patterns and determine how the existing implementation generalizes to those cases.

Background

The implementation currently provides symmetry-breaking definitions for the Standard Model and SMEFT electroweak-breaking patterns. The authors explicitly defer explaining how the functionality applies to other BSM symmetry-breaking patterns, leaving the generalization unresolved.