Lepton-Flavour Violation in Ordinary and Supersymmetric Grand Unified Theories

Physics – High Energy Physics – High Energy Physics - Phenomenology

Scientific paper

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8 pages, LaTeX209 file, using axodraw.sty

Scientific paper

By an explicit calculation we show that in ordinary SU(5) logarithmic divergence in the amplitude of $\mu \to e\gamma$ cancels among diagrams and remaining finite part is suppressed by at least $1/M_{GUT}^2$. In SUSY SU(5), when the effect of flavour changing wave function renormalization is taken into account such logarithmic correction disappears, provided a condition is met among SUSY breaking masses. In SUGRA-inspired SUSY GUT the remaining logarithmic effect is argued not to be taken as a prediction of the theory.

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