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General Conditions for Lepton Flavour Violation at Tree- and 1-Loop Level

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Blum,  Alexander
Division Prof. Dr. Manfred Lindner, MPI for Nuclear Physics, Max Planck Society;

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Merle,  Alexander
Division Prof. Dr. Manfred Lindner, MPI for Nuclear Physics, Max Planck Society;

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Citation

Blum, A., & Merle, A. (2008). General Conditions for Lepton Flavour Violation at Tree- and 1-Loop Level. Physical Review D, 77(7): 076005, pp. 1-16. doi:10.1103/PhysRevD.77.076005.


Cite as: http://hdl.handle.net/11858/00-001M-0000-0011-79C7-A
Abstract
In this work, we compile the necessary and sufficient conditions a theory has to fulfill in order to ensure general lepton flavour conservation, in the spirit of the Glashow-Weinberg criteria for the absence of flavour-changing neutral currents. At tree-level, interactions involving electrically neutral and doubly charged bosons are investigated. We also investigate flavour changes at 1-loop level. In all cases we find that the essential theoretical requirements can be reduced to a few basic conditions on the particle content and the coupling matrices. For 1-loop diagrams, we also investigate how exactly a GIM-suppression can occur that will strongly reduce the rates of lepton flavour violating effects even if they are in principle present in a certain theory. In all chapters, we apply our criteria to several models which can in general induce lepton flavour violation, e.g. LR-symmetric models or the MSSM. In the end we give a summarizing table of the obtained results, thereby demonstrating the applicability of our criteria to a large class of models beyond the Standard Model.