Single Higgs Boson Signal At Next Generation Linear Photon Collider

The search for Higgs bosons is one of the most important endeavors of present and future experiments. The experimental discovery of the Higgs boson is crucial for understanding the mechanism of electroweak symmetry breaking. While it can only be produced in association with another particle at a e~+e~-collider, the Higgs boson can be produced singly in the s-channel of the colliding photons at a photon collider. The aim of such collider will be then a precise measurement of Higgs properties. Among these the measurement of the two photon decay width of the Higgs boson is particularly important. To this end, a "Next Linear Collider"(NLC) for γγcollisions was proposed which offers a unique environment for such precision experiments owing to the comparably clean background.The different production ofγγcollisions, such as the processes γγ→W~+W~-, γγ→tt, γγ→tth, γγ→e~+e~-h,have been discussed. Photon-photon collisions provide much prospect for hunting Higgs bosons. Single Higgs would product vie "triangle one-loop"in γγcollisions, then decay to lepton pair immediately. Almost every large detecting system has muon detecter, the clean experimental signature and the precise Standard Model prediction provide high sensitivity in muon searches, so the experiment and measurement of muon pairs is the most economical and important, among the decayed production. Possibly, the measurement of muon pairs is an important means to hunt Higgs bosons. The measurement of muon-pairs as the production of Higgs decay will be affected by muon pairs as the straight production of γγcollisions, where the latter is the background of the former. To discover the credible Higgs signal, we must confirm the result of background and deduct it logically. Calculation the cross-section with one-loop electroweak corrections to the process γγ→μ~+μ~-is very significant. Comparison between the theoretical result and the experimental result may provide assured information to Higgs production. It indicates that there is no Higgs production in the process if the theoretical result is in accordance with the experimental result, then we need transfer expectation to other processes. Otherwise, it implies that we may find Higgs signal possibly if the difference between the theoretical result and the experimental result is much larger than experimental error. In this paper, we discussed the process γγ→μ+μ? detailedly in standard model, calculated the tree-level integral cross-section and calculated the cross-section with one-loop electroweak corrections to the process, we also removed the UV divergence and IR divergence vie regularization and renormalization, lastly we've got a result which precision reach one-loop.