| The spontaneous breaking mechanism (Higgs mechanism) is very important to the Standard Model. Higgs mechanism is significant to find Higgs bosons in theory and experiments. Therefore, the observation of one or several Higgs bosons will be of capital importance in order to understand the electroweak symmetry breaking mechanism. Despite the great success of the standard electroweak model, one of its fundamental principles, the spontaneous breaking mechanism, still awaits experimental confirmation. In the Standard Model (SM), one scalar doublet is responsible for the electroweak symmetry breaking giving as a result only one Higgs boson. However, the SM has serious drawbacks that are difficult to solve within the theory itself. These problems find a solution in Supersymmetric (SUSY) models. The Two Higgs Doublet Standard Model (MSSM) is the simplest SUSY extension of the SM. The MSSM Higgs sector is made of two Higgs doublets which lead to five Higgs particles after electroweak symmetry breaking: three neutral () and a charged pair (). A charged Higgs boson () is an unambiguous signature of the new physics beyond the SM. Most extensions of the SM require an extended electroweak symmetry-breaking (EWSB) sector with charged Higgs scalars as part of its physical spectrum at the weak scale. The electroweak gauge interactions of are universally determined by its electric charge and weak-isospin, while the Yukawa couplings of are model-dependent and can initiate new production mechanisms for at high-energy colliders. Most of the underlying theories that describe the EWSB mechanism can be categorized as either a "supersymmetric" (with fundamental Higgs scalars) or a "dynamical" (with composite Higgs scalars) model As we will show, the Yukawa couplings associated with the third family quarks and leptons can be large and distinguishable in these models, so that measuring the single charged scalar production rate in the polarized photon collisions can discriminate these models of flavor symmetry breaking.If a charged Higgs boson could be sufficiently light, with mass () below ～ 170GeV, it may be produced from the top quark decay, , at the hadron colliders, including The Fermilab Tevatron and the CERN Large Hadron Collider (LHC). For , can be searched at the Tevatron and the LHC from the production processes , , and, etc. The associate production of from fusion is difficult to detect at the Tevatron because of its small rate (largely suppressed by the final state phase space), but it should be observable at the LHC for . The single production from or fusions is kinematically advantageous so that it can yield a sizable signal rate, and can be detected at colliders as long as the relevant Yukawa couplings are not too small. The. Process originates from loop corrections, and is generally small for producing a heavy unless its rate is enhanced by s-channel resonances, such as . Similarly, the rate of is small in a general two-Higgs-doublet model (THDM). This is because for light quarks in the initial state, this process can only occur at loop level, and for heavy quarks in the initial state, this process can take place at tree level via Yukawa couplings but is suppressed by small parton luminosities of heavy quarks inside the proton (or anti-proton). If is in a triplet representation, the. Vertex can arise from a custodial breaking term in the tree level Lagrangian, but its strength has to be small due to the strong experimental constraint on the -parameter. Hence, the production rate of cannot be large either. At hadron colliders, charged Higgs bosons can also be produced in pairs via the s-channel fusion process through the gauge interactions of and and the s-channel gluon fusion process. However, the rate of the pair production generally is much smaller than that predicted by the single charged Higgs boson production mechanisms when the mass of the charged Higgs boson increases.If is smaller than half of the center-of-mass energy () of a Linear Collider (LC), then may b...
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