Finite Unification: Theory and Predictions

Symmetry Integrability and Geometry-Methods and Applications

article

Sven Heinemeyer¹  Myriam Mondragón²  George Zoupanos³ 

[1] Instituto de Física de Cantabria (CSIC-UC);Instituto de Física, Universidad Nacional Autónoma de México;Theory Group, Physics Department, CERN;Physics Department, National Technical University

关键词: unification;    gauge theories;    finiteness;    reduction of couplings;   

DOI  :  10.3842/SIGMA.2010.049

来源: National Academy of Science of Ukraine

【 摘 要 】

All-loop Finite Unified Theories (FUTs) are very interesting N =1 supersymmetric Grand Unified Theories (GUTs) which not only realise an old field theoretic dream but also have a remarkable predictive power due to the required reduction of couplings. The reduction of the dimensionless couplings in N =1 GUTs is achieved by searching for renormalization group invariant (RGI) relations among them holding beyond the unification scale. Finiteness results from the fact that there exist RGI relations among dimensionless couplings that guarantee the vanishing of all beta-functions in certain N =1 GUTs even to all orders. Furthermore developments in the soft supersymmetry breaking sector of N =1 GUTs and FUTs lead to exact RGI relations, i.e. reduction of couplings, in this dimensionful sector of the theory too. Based on the above theoretical framework phenomenologically consistent FUTS have been constructed. Here we present FUT models based on the SU (5) and SU (3) 3 gauge groups and their predictions. Of particular interest is the Higgs mass prediction of one of the models which is expected to be tested at the LHC.

【 授权许可】

Unknown