https://doi.org/10.1140/epjc/s10052-019-6785-5
Regular Article - Theoretical Physics
B–L Model with 
symmetry
Nearest neighbor interaction textures and broken symmetry
1
Centro de Estudios Científicos y Tecnológicos No 16, Instituto Politécnico Nacional, Pachuca: Ciudad del Conocimiento y la Cultura, Carretera Pachuca Actopan km 1+500, San Agustín Tlaxiaca, Hidalgo, México
2
Instituto de Física, Universidad Nacional Autónoma de México, 01000, México, D.F., México
3
Departamento de Física, Centro de Investigación y de Estudios Avanzados del I. P. N., Apdo. Post. 14-740, 07000, Ciudad de México, México
* e-mail: jcgizquierdo1979@gmail.com
Received:
14
June
2018
Accepted:
14
March
2019
Published online:
27
March
2019
We make a scalar extension of the B–L gauge model where the non-abelian discrete group drives mainly the Yukawa sector. Motived by the large and small hierarchies among the quark and active neutrino masses, respectively, the quark and lepton families are not treated on the same footing under the assignment of the discrete group. As a consequence, the nearest neighbor interaction (NNI) textures appear in the quark sector, leading to the CKM mixing matrix, whereas in the lepton sector, a soft breaking of the 
symmetry in the effective neutrino mass, which comes from type I see-saw mechanism, provides a non-maximal atmospheric angle and a non-zero reactor angle.
© The Author(s), 2019
