Neutrino Yukawa Textures within Type-I Seesaw

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 nonvanishing mass of every ultralight neutrino and the observed nondecoupling of any...

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Main Authors: Biswajit Adhikary, Probir Roy
Format: Article
Language:English
Published: Wiley 2013-01-01
Series:Advances in High Energy Physics
Online Access:http://dx.doi.org/10.1155/2013/324756
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author Biswajit Adhikary
Probir Roy
author_facet Biswajit Adhikary
Probir Roy
author_sort Biswajit Adhikary
collection DOAJ
description 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 nonvanishing mass of every ultralight neutrino and the observed nondecoupling of any neutrino generation allow a maximum of four zeros in the Yukawa coupling matrix in family space. We show that the requirement of an exact μt symmetry, coupled with the observational constraints, reduces seventy-two allowed such textures to only four corresponding to just two different forms of the light neutrino mass matrix: one with an inverted and the other with a normal mass ordering. The masses and Majorana phases of ultralight neutrinos are predicted within definite ranges with laboratory and cosmological observational inputs. Within the same framework, we also study Yukawa textures with a fewer number of zeros, but with exact μt symmetry. We further formulate the detailed scheme of the explicit breaking of μt 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.
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spelling doaj-art-a17ec9db3a2e414684c403f470dff3852025-08-20T02:20:41ZengWileyAdvances in High Energy Physics1687-73571687-73652013-01-01201310.1155/2013/324756324756Neutrino Yukawa Textures within Type-I SeesawBiswajit Adhikary0Probir Roy1Department of Physics, Gurudas College, Narkeldanga, Kolkata 700054, IndiaTheory Group, Saha Institute of Nuclear Physics, 1/AF Bidhan Nagar, Kolkata 700064, IndiaWe 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 nonvanishing mass of every ultralight neutrino and the observed nondecoupling of any neutrino generation allow a maximum of four zeros in the Yukawa coupling matrix in family space. We show that the requirement of an exact μt symmetry, coupled with the observational constraints, reduces seventy-two allowed such textures to only four corresponding to just two different forms of the light neutrino mass matrix: one with an inverted and the other with a normal mass ordering. The masses and Majorana phases of ultralight neutrinos are predicted within definite ranges with laboratory and cosmological observational inputs. Within the same framework, we also study Yukawa textures with a fewer number of zeros, but with exact μt symmetry. We further formulate the detailed scheme of the explicit breaking of μt 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.http://dx.doi.org/10.1155/2013/324756
spellingShingle Biswajit Adhikary
Probir Roy
Neutrino Yukawa Textures within Type-I Seesaw
Advances in High Energy Physics
title Neutrino Yukawa Textures within Type-I Seesaw
title_full Neutrino Yukawa Textures within Type-I Seesaw
title_fullStr Neutrino Yukawa Textures within Type-I Seesaw
title_full_unstemmed Neutrino Yukawa Textures within Type-I Seesaw
title_short Neutrino Yukawa Textures within Type-I Seesaw
title_sort neutrino yukawa textures within type i seesaw
url http://dx.doi.org/10.1155/2013/324756
work_keys_str_mv AT biswajitadhikary neutrinoyukawatextureswithintypeiseesaw
AT probirroy neutrinoyukawatextureswithintypeiseesaw