Single Production Of The Higgs From The Lepton Flavor Violating Processes Via E? Collision

A large number of experiments show that the Standard Model(SM)of particle physics describing particles interactions is very successful.The Higgs is one of the fundamental particles of the SM,in July 2012,the Large Hadron Collider(LHC)experiments found a new particle whose properties are almost consistent with those of the SM Higgs boson.At present,it is widely believed that the discovered scalar particle behaves as the SM Higgs boson related to the mechanism of electroweak symmetry breaking.Particle physics now enters a new era of detailed and careful study of the properties of the Higgs boson.Neutrino oscillation experiments have proved that neutrinos are massive particles mixing with each other,which means that lepton flavor is not an exact symmetry and lepton flavor violating(LFV)processes maybe exist.However,in the SM,these processes are strongly suppressed by GIM mechanism,making them unobservable at current(or planned)experiments.Thus,LFV processes provide one of the very interesting probes to new physics(NP)beyond the SM and the signals of any LFV process would clearly proved the existence of NP.This fact gives us a strong motivation to search for the LFV processes.Taking into account the low energy constraints on the LFV couplings H?i?jand the CMS results in the search for the LFV decay H ? ??,we investigate production of the SM Higgs boson associated with a lepton ? via e? collision at the international linear collider(ILC)and the large hadron electron collider(LHeC),the production cross sections are calculated,the LFV signals and the relevant SM backgrounds are examined.Our numerical results show that the LFV signals of the SM Higgs boson should be observed via e? collision in future ILC experiments,however which is very challenge to be detected at the LHeC.