One-loop Electroweak Corrections To Electron-positron Pair Production Via Two Photon Collisions In The SM

The Standard Model is the basic theory of modern particle physics, which can explain the generation of masses through Higgs Mechanism. The discovery of intermediate vector bosons and and their masses are highly in accord with the predictions of SM. But by far, there is no experimental phenomenon representing the mass generation mechanism of symmetry breaking mechanism, and the Higgs boson is not found in experiment till now.One of the most important tasks of colliders is exploring the electroweak symmetry breaking mechanism and the mass generation mechanism of gauge bosons and fermions, which verifying the SM. In the present, efforts are made by TEVATRON, NLC and GLC to find the physical information of the predictions of SM and others.The process has been suggested because the lepton-pair productions cross-section should be known to very high precision and photon collider is a supplement to electron-positron collider. The process is a possible channel for luminosity detector of colliders, which can precisely measure the luminosity of colliders. The contribution of one-loop electroweak correction should probably be considered at high-energy collision. In this paper, we calculated the tree-level and one-loop electroweak radiative corrections. After regularization and renormalization and soft-phototic bremsstrahlung radiation, we found that the UV divergence and IR divergence have been removed, and we listed and discussed the numerical results of the removal. We calculated the tree-level integral cross-section and calculated the cross-section with one-loop electroweak corrections to the process in the Standard Model (SM), including virtual corrections and soft photon radiative correction. We discussed the relations between the cross-sections in tree level (and one-loop corrected cross sections) and center-mass energy in the luminosity measuring ranges of GLC. We also acquired the relation curves between differential cross section and the outgoing electron angle . At last, the numbers of events at different center-mass energy and angular ranges are acquired in the end of the numerical calculations. The luminosity monitor ranges of GLC is and and the luminosity of GLC is .We hope our theoretical calculations have somewhat value to test the Standard Model in experiment.