Abstract
We investigate the Higgs-strahlung production process e^+ e^- \to Z h at the future Higgs factory such as TLEP by including radiative corrections in the Minimal Dilaton Model (MDM), which extends the SM by one singlet scalar called dilaton. We consider various theoretical and experimental constraints on the model, and perform fits to the Higgs data taken from ATLAS, CMS and CDF+D0. Then for the 1\sigma surviving samples, we calculate the MDM predictions on the inclusive production rate \sigma(e^+e^-\to Zh) at the 240-GeV Higgs factory, and also the signal rates of e^+e^-\to Zh with the Higgs boson decaying to b\bar b and \gamma\gamma. We have following observations: (1) In the heavy dilaton scenario, the deviation of \sigma(e^+e^-\to Zh) from its SM prediction can vary from -15\% to 85\%, which mainly arises from the modification of the tree-level hZZ coupling and also the radiative correction induced by possibly large Higgs self-couplings. (2) The processes e^+e^-\to Zh at the Higgs factory and pp\to hh at 14-TeV LHC are complementary in limiting the MDM parameter space. Requiring the deviation of \sigma(e^+e^-\to Zh) from its SM prediction to be less than 1\% and that of \sigma(p p \to h h) to be less than 50\%, \tan \theta_S in the MDM will be limited to be -0.1<\tan\theta_S<0.3, and the deviations of the signal rates are constrained to be |R_{b\bar b}|<2\% and |R_{\gamma\gamma}|<7\%. Especially, the Higgs self-coupling normalized to its SM prediction is now upper bounded by about 4. (3) In the light dilaton scenario, the deviation of \sigma(e^+e^-\to Zh) may reach -7\%, and requiring its size to be less than 1\% will result in 0<\tan\theta_S<0.1, and -10\% < R_{b\bar b}, R_{\gamma\gamma} < 1\%.
Highlights
JHEP08(2014)138 coupling size as precise as possible, which is essential in reconstructing the Higgs potential and determining the mechanism of the electro-weak symmetry breaking
(2) The processes e+e− → Zh at the Higgs factory and pp → hh at 14-TeV LHC are complementary in limiting the Minimal Dilaton Model (MDM) parameter space
Requiring the deviation of σ(e+e− → Zh) from its SM prediction to be less than 1% and that of σ(pp → hh) to be less than 50%, tan θS in the MDM will be limited to be −0.1 < tan θS < 0.3, and the deviations of the signal rates are constrained to be |Rbb| < 2% and |Rγγ| < 7%
Summary
The MDM is an extension of the SM by introducing a linearized singlet dilaton field S and a vector-like top partner T with the same quantum number as the right-handed top quark. We here do not consider the possibility of mh/2 ≤ ms ≤ mh because we checked that such a possibility has no distinct features, and is less interesting from phenomenology point of view For both the light and heavy dilation scenarios, we consider the constraints similar to what we did in [44], which are given by (1) Vacuum stability of the scalar potential and absence of the Landau pole up to 1TeV. (3) mt′ ≥ 1TeV as suggested by the LHC search for top quark partner [67,68,69] and constraints from the precision electroweak data [42] With this constraint, we have cos θL > 0.97 and Chtt/SM ≃ cos θS [44]. As will be seen below, this feature is beneficial for our analysis
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