Erratum: Basis-independent methods for the two-Higgs-doublet model [Phys. Rev. D72, 035004 (2005)]

Abstract

In the most general two-Higgs-doublet model (2HDM), unitary transformations between the two Higgs fields do not change the functional form of the Lagrangian. All physical observables of the model must therefore be independent of such transformations (i.e., independent of the Lagrangian basis choice for the Higgs fields). We exhibit a set of basis-independent quantities that determine all tree-level Higgs couplings and masses. Some examples of the basis-independent treatment of 2HDM discrete symmetries are presented. We also note that the ratio of the neutral Higgs field vacuum expectation values, tan β, is not a meaningful parameter in general, as it is basis-dependent.Implications for the more specialized 2HDMs (e.g., the Higgs sector of the MSSM and the so-called Type-I and Type-II 2HDMs) are explored.

Preserving the validity of the two-Higgs-doublet model up to the Planck scale

“…(3)] can be written in the form of invariants or pseudoinvariants with respect to the U(2) transformations, Φ a → U ab Φ b , as shown in Ref. [39]. The three squared-mass parameters are given by Finally, we note that the anomalous dimensions, which contribute to the quartic scalar coupling β-functions, are given by…”

“…[39], which provides basis-independent 2HDM potential parameters that are invariant under a global U(2) transformation of the two scalar doublet fields,…”

“…In our analysis, we employ a basis-independent formalism introduced in Ref. [39]. We consider the most general 2HDM scalar potential (which is potentially CP-violating) and the most general Yukawa sector, which introduces three additional independent 3 × 3 matrix Yukawa couplings.…”

Explaining the CMS Higgs flavor-violating decay excess

“…5 In the Type-III 2HDM there is no unique definition of tan β since one can always apply rotations in Higgs space, acting also on the Higgs VEVs, v 1 and v 2 . Therefore, a specific (physical) definition is required [32]. Since we are interested in tau flavor violation, we choose to define tan βτ as the relative size of the tau Yukawa coupling and √ 2mτ /v, in analogy to the usual definition of tan β in the Type-II 2HDM.…”

Leptonic decays of the B charged meson and B → Xsγ in the Two Higgs Doublet Model type III

“…In general, both doublets can acquire a vacuum expectation value (VEV), but one of them can be absorbed redefining the Higgs boson fields properly. Nevertheless, other studies on 2HDM-III using different basis have been done and there is a case where both doublets get VEVs that allows to study the models type I and II in a specific limit [5,6].In the 2HDM models, the two complex Higgs doublets correspond to eigth scalar states. Spontanoues Symmetry breaking procedure leads to five Higgs fields: two neutral CP-even scalars h 0 and H 0 , a neutral CP-odd scalar A 0 , and two charged scalars H ± .…”