Neutrino Yukawa textures within type-I see-saw

2012/11/02 by Biswajit Adhikary, Adhikary, Biswajit, Probir Roy +1
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #Neutrino Physics Research #Particle physics theoretical and experimental studies #hep-ph

paper · pdf · doi:10.48550/arxiv.1211.0371

invited review article, to appear in a special issue on neutrinos in the journal Advances in High Energy Physics (AHEP)

arxiv created 2012/11/02 · openalex publication_date 2012/11/02 · arxiv updated 2012/11/05 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The arbitrariness of Yukawa couplings can be reduced by the imposition of some flavor symmetries and/or by the realization of texture zeros. We review neutrino Yukawa textures with zeros within the framework of the type-I seesaw with three heavy right chiral neutrinos and in the basis where the latter and the charged leptons are mass diagonal. An assumed non-vanishing mass of every ultralight neutrino and the observed non-decoupling of any neutrino generation allow a maximum of four zeros in the Yukawa coupling matrix Y_ν in family space. There are seventy two such textures. We show that the requirement of an exact μτ symmetry, coupled with the observational constraints, reduces these seventy two allowed textures to only four corresponding to just two different forms of the light neutrino mass matrix M_νA/M_νB, resulting in an inverted/normal mass ordering. The effect of each of these on measurable quantities can be described, apart from an overall factor of the neutrino mass scale, in terms of two real parameters and a phase angle all of which are within very constrained ranges. The masses and Majorana phases of ultralight neutrinos are predicted within definite ranges with 3σ laboratory and cosmological observational inputs. The rate for 0νββ decay, though generally below the reach of planned experiments, could approach it in some parameteric regions. Within the same framework, we also study Yukawa textures with a fewer number of zeros, but with exact μτ symmetry. We further formulate the detailed scheme of the explicit breaking of μτ symmetry in terms of three small parameters for allowed four zero textures. The observed sizable mixing between the first and third generations of neutrinos is shown to follow for a suitable choice of these symmetry breaking parameters.

Citations

• Texture zeroes and discrete flavor symmetries in light and heavy Majorana neutrino mass matrices: a bottom-up approach
• Realizations of mu-tau interchange symmetry
• Softly brokenμ↔τsymmetry in the minimal seesaw model
• Status of Tri/Bi-Maximal Neutrino Mixing
• μτ symmetry, tribimaximal mixing and four zero neutrino Yukawa textures
• Elements of the neutrino mass matrix: Allowed ranges and implications of texture zeros
• Texture zeros and majorana phases of the neutrino mass matrix
• Phenomenology of two-texture zero neutrino mass matrices
• Leptogenesis andμ−τsymmetry

Related

• Texture-zeros in minimal seesaw from non-invertible symmetry fusion rules
• Texture zeroes and discrete flavor symmetries in light and heavy Majorana neutrino mass matrices: a bottom-up approach
• See saw mechanism with Yukawa alignment for neutrinos
• Effective textures from a [SU(3)]³ flavored scalar sector
• One-parameter Neutrino Mass Matrix and Symmetry Realization