Electroweak corrections to muon pair production in electron-positron annihilation at high energy |
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| Affiliation: | 1. Department of Physics, Tokai University, Hiratsuka-shi, Kanagawa 259-12, Japan;2. Department of Physics, Kogakuin University, Shinjuku-ku, Tokyo 160, Japan;3. Faculty of Commerce, Meiji University, Chiyoda-ku, Tokyo 101, Japan;4. Department of Physics, University of Tokyo, Bunkyo-ku,Tokyo 113, Japan;1. UNICAMP, Universidade Estadual de Campinas, Departamento de Matemática Aplicada, IMECC, 13081-970, Campinas, SP, Brazil;2. ITA, Instituto Tecnológico de Aeronáutica, DCTA, 12228-900, São José dos Campos, SP, Brazil;3. UNESP, Universidade Estadual Paulista, Campus de Guaratinguetá, Departamento de Física e Química, 12516-410, Guaratinguetá, SP, Brazil;4. CFisUC, University of Coimbra, Physics Department, P-3004-516, Coimbra, Portugal;5. UFMA, Universidade Federal do Maranhão, Campus Universitário do Bacanga, Departamento de Física, 65080-805, São Luís, MA, Brazil;1. School of Industrial Engineering, Purdue University, IN, United States;2. Division of Environmental and Ecological Engineering, Purdue University, IN, United States;1. Budker Institute of Nuclear Physics, 11, akademika Lavrentieva prospect, Novosibirsk, 630090, Russia;2. Novosibirsk State University, 2, Pirogova street, Novosibirsk, 630090, Russia;3. Novosibirsk State Technical University, 20, Karl Marx prospect, Novosibirsk, 630092, Russia;1. Walter Reed National Military Medical Center, 8901 Wisconsin Avenue, Bethesda, MD 20889, USA;2. Division of Neonatal-Perinatal Medicine, Department of Pediatrics and Communicable Diseases, Floor 8, 1540 E Hospital Dr SPC 4254, Ann Arbor, MI 48109, USA;3. Division of Neonatology, Johns Hopkins School of Medicine, Berman Institute of Bioethics, 600 North Wolfe Street, Baltimore, MD 21287, USA |
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| Abstract: | The lowest-order radiative corrections to the reaction e+ + e− → μ+ + μ− are analyzed in the standard SU(2) × U(1) electroweak theory. The virtual corrections are calculated in the on-shell renormalization scheme. The masses of the recently discovered Z-boson and W-boson are used to fix the weak coupling constants. The decay width of the Z-boson is also taken into account. By including the cross section of hard photon emission, various kinds of distribution are obtained both analytically and numerically. The magnitude of the effective axial vector coupling is confirmed to be quite different from that previously taken in the calculations within QED. This difference, which is due to the genuine electroweak corrections, reaches about 10% in angular distribution at the energy around the Z-boson mass, even if the reasonable effect of a hard photon is included. |
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