# Dihedral flavor group as the key to understand quark and lepton flavor mixing

Lu, Jun-Nan (0000000121679639, Interdisciplinary Center for Theoretical Study and Department of Modern Physics, University of Science and Technology of China, No. 96 JinZhai Road, Hefei, Anhui, 230026, China) ; Ding, Gui-Jun (0000000121679639, Interdisciplinary Center for Theoretical Study and Department of Modern Physics, University of Science and Technology of China, No. 96 JinZhai Road, Hefei, Anhui, 230026, China)

14 March 2019

Abstract: We have studied the lepton and quark mixing patterns which can be derived from the dihedral group D n in combination with CP symmetry. The left-handed lepton and quark doublets are assigned to the direct sum of a singlet and a doublet of D n . A unified description of the observed structure of the quark and lepton mixing can be achieved if the flavor group D n and CP are broken to Z 2 × CP in neutrino, charged lepton, up quark and down quark sectors, and the minimal group is D 14 . We also consider another scenario in which the residual symmetry of the charged lepton and up quark sector is Z 2 while Z 2 × CP remains preserved by the neutrino and down quark mass matrices. Then D 7 can give the experimentally favored values of CKM and PMNS mixing matrices.

Published in: JHEP 1903 (2019) 056