Reconstructing finite flavour groups: horizontal symmetry scans from the bottom-upReport as inadecuate

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Journal of High Energy Physics

, 2014:58

First Online: 09 December 2014Received: 04 October 2014Accepted: 03 November 2014 Abstract

We present a novel procedure for identifying discrete, leptonic flavour symmetries, given a class of unitary mixing matrices. By creating explicit 3D representations for generators of residual symmetries in both the charged lepton and neutrino sector, we reconstruct larger non-abelian flavour groups using the GAP language for computational finite algebra. We use experimental data to construct only those generators that yield acceptable or preferable mixing patterns. Such an approach is advantageous because it 1 can reproduce known groups from other ‘top-down’ scans while elucidating their origins from residuals, 2 find new previously unconsidered groups, and 3 serve as a powerful model building tool for theorists wishing to explore exotic flavour scenarios. We test our procedure on a generalization of the canonical tri-bimaximal TBM form.

KeywordsDiscrete and Finite Symmetries Neutrino Physics Beyond Standard Model CP violation ArXiv ePrint: 1409.7310

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Author: Jim Talbert



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