TY - JOUR AU - Fonseca, R. M. AU - Grimus, W. PY - 2014 DA - 2014// TI - Classification of lepton mixing matrices from finite residual symmetries T2 - J. High Energy Phys. JO - Journal of High Energy Physics SP - 033 EP - 54pp VL - 09 IS - 9 PB - Springer KW - Global Symmetries KW - Beyond Standard Model KW - Neutrino Physics AB - Assuming that neutrinos are Majorana particles, we perform a complete classification of all possible mixing matrices which are fully determined by residual symmetries in the charged-lepton and neutrino mass matrices. The classification is based on the assumption that the residual symmetries originate from a finite flavour symmetry group. The mathematical tools which allow us to accomplish this classification are theorems on sums of roots of unity. We find 17 sporadic cases plus one infinite series of mixing matrices associated with three-flavour mixing, all of which have already been discussed in the literature. Only the infinite series contains mixing matrices which are compatible with the data at the 3 sigma level. SN - 1029-8479 UR - http://arxiv.org/abs/1405.3678 UR - https://doi.org/10.1007/JHEP09(2014)033 DO - 10.1007/JHEP09(2014)033 LA - English N1 - WOS:000347898400002 ID - Fonseca+Grimus2014 ER -