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The littlest Higgs (LH) model is the most economical one among various little Higgs models, which predicts the existence of the charged scalars Φ±. In this paper, we study the production of the charged Higgs boson Φ− with single top quark via the process gb → tΦ− at the CERN Large Hadron Collider (LHC). The numerical results show that the production cross section is smaller than 0.2 pb in most of the parameters space, it is very difficult to observe the signatures of the charged scalars via the process pp → gb + X → tΦ− + X at the LHC experiments. However, it can open a window to distinguish the top-pions in the TC2 model or charged Higgs in the MSSM from Φ±.

In the context of the left-right twin Higgs model, we study single production of a 𝑇 -quark at the Large Hadron electron Collider based 𝑒𝑝 and 𝛾𝑝 colliders, which proceed via the processes 𝑒 + 𝑏 → ν𝑒𝑇 and 𝛾𝑏 → 𝑊 − 𝑇 . For the main decay mode 𝑇 → 𝜑 + 𝑏 → 𝑡 b𝑏, these two processes mainly transfer to the final states of 3𝑏+ 𝑙 (𝑒 or 𝜇) + missing 𝐸𝑇 and 3𝑏 + 2𝑙 + missing 𝐸𝑇 , respectively. With the electron energy 𝐸𝑒 = 500 GeV and photon energy 𝐸𝑝=7 TeV, we find that the production rates can reach tens fb when the heavy 𝑇 −quark mass 𝑚𝑇 < 600 GeV. A simple phenomenological analysis is also given for the decay mode 𝑇 → 𝑊 + 𝑏. Our numerical results show that the SM background can be reduced by applying a cut on the transverse momentum of the final 𝑏-quark and the invariant mass of 𝑊 𝑏. However, such a channel is only useful for a tiny parameter space.

Abstract. Nowdays, the safety of agricultural products becoming increasingly serious, a new way called community supported agriculture (CSA) come into the view of the public. It advocates a healthy and natural lifestyle, hoping to rebuild the harmonious development of rural and urban communities and provide health and safety agricultural products to the community consumers.This article mainly from the overview of CSA, the construction of CSA and the operation of CSA to research about this new mode of agricultural.