Note on Custodial Symmetry in the Two-Higgs-Doublet Model
B. Grzadkowski, M. Maniatis, Jose Wudka

TL;DR
This paper introduces a straightforward, basis-independent method to analyze custodial symmetry in the Two-Higgs-Doublet Model, clarifying its relation to CP symmetry and providing necessary and sufficient conditions.
Contribution
It provides a new, transparent approach to determine custodial symmetry in the scalar potential of the Two-Higgs-Doublet Model, enhancing theoretical understanding.
Findings
Derived basis-independent conditions for custodial symmetry
Clarified the relation between custodial transformation and CP symmetry
Simplified analysis of custodial symmetry in the model
Abstract
We present a simple and transparent method to study custodial symmetry in the Two-Higgs-Doublet Model. The method allows to formulate the basis independent, sufficient and necessary, conditions for the custodial symmetry of the scalar potential. The relation between the custodial transformation and CP is discussed and clarified.
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