Abstract
We show that the rate for di-Higgs production at the LHC can be enhanced by a factor as large as 25 compared to the Standard Model value in the two Higgs doublet model, while being consistent with the known properties of the observed Higgs boson h. There are correlated modifications in toverline{t}h and resonant Zh production rates, which can serve as tests of this model. Our framework treats both Higgs doublets on equal footing, each with comparable Yukawa couplings to fermions. The Cheng-Sher ansatz for multi-Higgs doublet model is shown to be strongly disfavored by current experiments. We propose a new ansatz for the Yukawa couplings of the Higgs doublets Φa is proposed, where Yij(a) = Cij(a) · min{mi, mj}/v, with Cij(a) being order one coefficients, mi the mass of fermion i and v the electroweak vacuum expectation value. Such a pattern of couplings can explain the observed features of fermion masses and mixings and satisfies all flavor violation constraints arising from the exchange of neutral Higgs bosons. The rate for μ → eγ decay and new contributions to CP violation in {B}_s-{overline{B}}_s mixing are predicted to be close to the experimental limits.
Highlights
Measurement allows its rate to be as large as 1.9 times the Standard Model (SM) value, and Zh production rate is allowed to be as large as 2 times its SM value
We show that the rate for di-Higgs production at the LHC can be enhanced by a factor as large as 25 compared to the Standard Model value in the two Higgs doublet model, while being consistent with the known properties of the observed Higgs boson h
Supersymmetric models require a second Higgs doublet to generate fermion masses; electroweak baryogenesis can be consistently realized with a second Higgs doublet [3,4,5]; TeV scale dark matter can be realized in such extensions [6, 7]; vacuum stability can be maintained all the way to the Planck scale with a second doublet [8] unlike in the SM [9], and small neutrinos masses may by generated as radiative corrections with a second doublet [10], to name a few
Summary
The most general gauge invariant scalar potential of this 2HDM is given in appendix A, eq (A.1). We shall choose a convenient rotated basis in which only one neutral Higgs has a nonzero vacuum expectation value. The two H√iggs doublets in the new basis are denoted as H1 and H2, with H20 = 0., and H10 = v/ 2. These new states are related to Φ1 and Φ2 by. H1 = Φ1 cos β + e−iξ Φ2 sin β , H2 = −eiξ Φ1 sin β + Φ2 cos β ,. The vavuum expectation value is v = v12 + v22 246 GeV. For simplicity, we have set the phase ξ to be zero
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