Abstract
In the Standard Model (SM), the [Formula: see text] parameter is equal to 1 and the ratio [Formula: see text] of Higgs [Formula: see text] and Higgs [Formula: see text] is also equal to 1 at the tree level. When going beyond the SM with more than one type of Higgs representations, these quantities may be different from the SM predictions which can provide crucial information about new physics. There may also exist a certain charged Higgs [Formula: see text] decays into a [Formula: see text] and a [Formula: see text]. Imposing a custodial symmetry can force the parameter [Formula: see text] to be equal to 1 with certain predictions for [Formula: see text] and [Formula: see text]. However, imposing [Formula: see text] without custodial symmetry may have different predictions. We show how differences arise and how to use experimental data to obtain information about the underlying physics in a model with the SM, plus a real and a complex [Formula: see text] triplet.
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