# Connecting Majorana phases to the geometric parameters of the Majorana unitarity triangle in a neutrino mass matrix model

Verma, Surender (Department of Physics and Astronomical Science, Central University of Himachal Pradesh, Dharamshala 176215, India) ; Bhardwaj, Shankita (Department of Physics and Astronomical Science, Central University of Himachal Pradesh, Dharamshala 176215, India)

17 May 2018

Abstract: We have investigated a possible connection between the Majorana phases and geometric parameters of Majorana unitarity triangle (MT) in two-texture zero neutrino mass matrix. Such analytical relations can, also, be obtained for other theoretical models viz. hybrid textures, neutrino mass matrix with vanishing minors and have profound implications for geometric description of $CP$ violation. As an example, we have considered the two-texture zero neutrino mass model to obtain a relation between Majorana phases and MT parameters that may be probed in various lepton number violating processes. In particular, we find that Majorana phases depend on only one of the three interior angles of the MT in each class of two-texture zero neutrino mass matrix. We have also constructed the MT for class $A$, $B$, and $C$ neutrino mass matrices. Nonvanishing areas and nontrivial orientations of these Majorana unitarity triangles indicate nonzero $CP$ violation as a generic feature of this class of mass models.

Published in: Physical Review D 97 (2018)