Geometric methods for the most general Ginzburg-Landau model with two order parameters

Abstract

The Landau potential in the general Ginzburg-Landau theory with two order parameters and all possible quadratic and quartic terms cannot be minimized with the straightforward algebra. Here, a geometric approach is presented that circumvents this computational difficulty and allows one to get insight into many properties of the model in the mean-field approximation.

4 pages, 1 figure

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• High scale impact in alignment and decoupling in two-Higgs doublet models
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• Pseudoscalar decays to gauge bosons at the LHC and at a future 100 TeV collider
• Disentangling the high and low cutoff scales via the trilinear Higgs couplings in the type-I two-Higgs-doublet model
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