The Higgs boson production process e + e − → ZH in the 3 - 3 - 1 model with RH neutrinos Yao -

The models base on SU(3)C ⊗SU(3)L⊗U(1)X gauge group contain new Higgs bosons and one of them is the SM-like Higgs boson. In the context of 3-3-1 model with righthanded(RH) neutrinos, we study the Higgsstrahlung process ee → ZH and calculate the cross section of this process at leading order. It is shown that the new heavy gauge boson ZH predicted by this model can generate significant contributions to the cross sections of this process, which may be detected in future high energy ee collider(LC) experiments. PACS number(s): 12.60.Cn, 14.70.Hp, 14.80.Bn E-mail:[email protected] This work is supported by a grant from Henan Institute of Science and Technology(06040). 1 The standard model(SM) provides an excellent effective field theory description of almost all particle physics experiments. But the recent experimental results of SuperKamiokande Collaboration [1], SNO [2] and KamLAND [3] confirm that neutrinos have tiny masses and oscillates. It suggests that it is important to point put the complete dynamics of Higgs fields. All this requires new interactions beyond the conventional interactions in the SM. Among the possible extension of SM, the models based on the SU(3)C ⊗ SU(3)L ⊗U(1)X(3-3-1) gauge group have some intriguing feature [4, 5], they can give partial explanation of the generation number problem and also predict the electric charged quantization [6] and the neutrino oscillation [7]. The model requires that the number of fermion families be a multiple of the quark color in order to cancel anomalies, which suggests an interesting connection between the number of flavors and the strong color group. There are two main versions of the 3-3-1 models. In the minimal version, the charge conjugation of the right-handed charged lepton for each generation is combined with the usual SU(2)L doublet left-handed leptons components to form an SU(3) triplet (ν, l, l )L. No extra leptons are needed and there is no right-handed neutrino in its minimal version. Another version adds a left-handed anti-neutrino to each usual SU(2)L doublet left-handed leptons to form a triplet. This model is called the 3-3-1 model with RH neutrinos. In this paper, we consider the contributions of the new gauge boson ZH to associated ZH production at high energy linear ee collider(LC) experiments. The next generation of LC is expected to operate at energies from 300 GeV up to about 1 TeV [8]. The Higgsstrahlung process ee → ZH is one of the dominant production mechanism of the Higgs boson in the future LC experiments. It has been extensively studied in the SM and some specific models [9]. In this paper we calculate the cross section of the process ee → ZH in the 3-3-1 model with RH neutrinos. Comparing the process ee → ZH in the SM , this process in the 3-3-1 model with RH neutrinos receives the additional contributions arising from the new heavy gauge boson ZH . We find that the new particle ZH can significant vary the production cross section of the process ee → ZH . With the relative light mass of ZH and the higher center-of-mass energy, the deviation of the total cross sections from its SM value varies from a few percent to tens of percents. When the mass of ZH is equal to the e e c.m. energy and there exists the resonance effect arising from s-channel ZH propagator. The 2 future LC experiments may detected the correction effects and further test this model. The 3-3-1 model is based on the gauge group SU(3)C ⊗ SU(3)L ⊗U(1)X . In the version of this paper, one adds a left-hand anti-neutrino to each usual SU(2)L doublet left-handed lepton to form a triplet f L = 