Trilinear Higgs couplings in the two Higgs doublet model withCPviolation

Abstract

We carry out a detailed analysis of the general two Higgs doublet model with CP violation. We describe two different parametrizations of this model, and then study the Higgs boson masses and the trilinear Higgs couplings for these two parametrizations. Within a rather general model, we find that the trilinear Higgs couplings have a significant dependence on the details of the model, even when the lightest Higgs boson mass is taken to be a fixed parameter. We include radiative corrections in the one-loop effective potential approximation in our analysis of the Higgs boson masses and the Higgs trilinear couplings. The one-loop corrections to the trilinear couplings of the two Higgs doublet model also depend significantly on the details of the model, and can be rather large. We study quantitatively the trilinear Higgs couplings, and show that these couplings are typically several times larger than the corresponding Standard Model trilinear Higgs coupling in some regions of the parameter space. We also briefly discuss the decoupling limit of the two Higgs doublet model.

h → Zγ in the complex two Higgs doublet model

“…[20], the h 1 V V and h 1 H + H − can be written, respectively, as in eqs. (A.3) and (A.2), with 17) and …”

“…This is known as the complex two Higgs doublet model (C2HDM), and has been studies extensively in 1 refs. [12][13][14][15][16][17][18][19][20]. If arg(λ 5 ) = 2 arg(m 2 12 ), then we can choose a basis where m 2 12 and λ 5 become real and, if the vacuum expectation values (vev) of φ 1 and φ 2 are also real, we talk about the real 2HDM.…”

Triple Higgs coupling in the most general 2HDM at SM-like scenario

“…In this region of parameters the value of RC, discussed in [31][32][33][34][35][36][37][38], does not exceed 20%. Below we will have in mind this very limitation with k ≈ 0.3.…”

“…In particular, the equations, expressing masses and couplings via the parameters of the Lagrangian, become invalid. Good examples provide the one-loop radiative corrections (RC) to the triple Higgs coupling [31][32][33][34][35][36][37][38]. In the SM-like scenario these RC reach 150 ÷ 200% at |λ i | ≈ .…”

Neutral Higgs-pair production at linear colliders within the general two-Higgs-doublet model: Quantum effects and triple Higgs boson self-interactions

“…Several authors have exported the above ideas to the 2HDM [63][64][65][66][67][68][69][70][71][72][73][74][75][76] and also to its complex (CP-violating) extensions [77]. The strategy here is to compute the Smatrix elements S ij in a set of 2 → 2 scattering processes involving Higgs and Goldstone bosons.…”