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Very large intermediate scales in three-generation models
Institution:1. CERN, CH-1211 Geneva 23, Switzerland;2. Departament de Fisica Teòrica, Universitat Autònoma de Barcelona, E-08193 Bellaterra (Barcelona, Spain;1. Theoretical Physics Department, CERN, Geneva, Switzerland;2. Department of Physics, University of California, Berkeley, CA 94720, USA;3. Theoretical Physics Group, Lawrence Berkeley National Laboratory, Berkeley, CA 94720, USA;4. Tsung-Dao Lee Institute, Shanghai Jiao Tong University, Shanghai 200240, China;5. Kavli IPMU (WPI), UTIAS, University of Tokyo, Kashiwa, Chiba 277-8583, Japan;6. Zhejiang Institute of Modern Physics and Department of Physics, Zhejiang University, Hangzhou, Zhejiang 310027, China;7. Department of Physics, Tohoku University, Sendai, Miyagi 980-8578, Japan;1. Dipartimento di Ingegneria Industriale, Università degli Studi di Salerno, Via Giovanni Paolo II, 132, I-84084 Fisciano (SA), Italy;2. INFN, Sezione di Napoli, Gruppo collegato di Salerno, Italy
Abstract:The issue of large intermediate scales is addressed in a class of three-generation models based on the best-known Calabi-Yau compactification of the heterotic string. The renormalisation group equations for this class are studied to determine the scale, μMI, at which the first “intermediate-scale” symmetry breaking occurs. Throughout most of the parameter space specifying the models, MI is found to be extremely close to the compactification scale, Mc, as is required by phenomenology. This is due to the large number of fields which are massless below Mc. Depending on unknown normalisation factors, different directions of symmetry breaking are possible, including the one thus far preferred on phenomenological grounds.
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