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The general Two-Higgs Doublet Model in a gauge-invariant form
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In the general Two-Higgs Doublet Model it has been shown that the Higgs potential can be expressed in terms of gauge-independent quantities. In particular, stability, electroweak symmetry breaking, and CP symmetry can be understood in a concise way, avoiding unphysical gauge degrees of freedom. We complete this program and show how all the masses, the trilinear and quartic scalar interactions, the gauge-boson-Higgs interactions, as well as the Yukawa couplings in the general THDM can be expressed in a gauge-invariant way.
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The Two-Higgs Doublet Model beyond tree-level: A gauge-invariant formalism
The bilinear formalism of the two-Higgs-doublet model is extended to one-loop order, yielding gauge-invariant expressions for the quantum-corrected scalar masses and vacuum shift.
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