Implication of a vanishing element in the 3+1 scenario

Monojit Ghosh, Srubabati Goswami, Shivani Gupta, Choong Sun Kim

Research output: Contribution to journalArticle

7 Citations (Scopus)

Abstract

In this paper we study the phenomenological implications of the one-zero textures of low energy neutrino mass matrices in the presence of a sterile neutrino. We consider the 3+1 scheme and use the results from a global fit for short baseline neutrino oscillation data, which provides the bounds on the three additional mixing angles. We find that the mass matrix elements m αβ (α, β=e, μ, τ) involving only the active states can assume vanishing values in the allowed parameter space for all of the mass spectrum. Among the mass matrix elements connecting the active and sterile states, mes and mμs can become small only for the quasidegenerate neutrinos. The element mτs, on the other hand, can vanish even for lower values of masses since the 3-4 mixing angle only has an upper bound from current data. The mass matrix element (mss) involving only the sterile state stays ∼O(1) eV in the whole parameter region. We study the possible correlations between the sterile mixing angles and the Majorana phases to give a zero element in the mass matrix.

Original languageEnglish
Article number033009
JournalPhysical Review D - Particles, Fields, Gravitation and Cosmology
Volume88
Issue number3
DOIs
Publication statusPublished - 2013 Aug 19

Fingerprint

neutrinos
matrices
guy wires
mass spectra
textures
oscillations
energy

All Science Journal Classification (ASJC) codes

  • Nuclear and High Energy Physics
  • Physics and Astronomy (miscellaneous)

Cite this

@article{012d82adfbea46a1ab7fb6f59f7f4e31,
title = "Implication of a vanishing element in the 3+1 scenario",
abstract = "In this paper we study the phenomenological implications of the one-zero textures of low energy neutrino mass matrices in the presence of a sterile neutrino. We consider the 3+1 scheme and use the results from a global fit for short baseline neutrino oscillation data, which provides the bounds on the three additional mixing angles. We find that the mass matrix elements m αβ (α, β=e, μ, τ) involving only the active states can assume vanishing values in the allowed parameter space for all of the mass spectrum. Among the mass matrix elements connecting the active and sterile states, mes and mμs can become small only for the quasidegenerate neutrinos. The element mτs, on the other hand, can vanish even for lower values of masses since the 3-4 mixing angle only has an upper bound from current data. The mass matrix element (mss) involving only the sterile state stays ∼O(1) eV in the whole parameter region. We study the possible correlations between the sterile mixing angles and the Majorana phases to give a zero element in the mass matrix.",
author = "Monojit Ghosh and Srubabati Goswami and Shivani Gupta and Kim, {Choong Sun}",
year = "2013",
month = "8",
day = "19",
doi = "10.1103/PhysRevD.88.033009",
language = "English",
volume = "88",
journal = "Physical review D: Particles and fields",
issn = "1550-7998",
publisher = "American Physical Society",
number = "3",

}

Implication of a vanishing element in the 3+1 scenario. / Ghosh, Monojit; Goswami, Srubabati; Gupta, Shivani; Kim, Choong Sun.

In: Physical Review D - Particles, Fields, Gravitation and Cosmology, Vol. 88, No. 3, 033009, 19.08.2013.

Research output: Contribution to journalArticle

TY - JOUR

T1 - Implication of a vanishing element in the 3+1 scenario

AU - Ghosh, Monojit

AU - Goswami, Srubabati

AU - Gupta, Shivani

AU - Kim, Choong Sun

PY - 2013/8/19

Y1 - 2013/8/19

N2 - In this paper we study the phenomenological implications of the one-zero textures of low energy neutrino mass matrices in the presence of a sterile neutrino. We consider the 3+1 scheme and use the results from a global fit for short baseline neutrino oscillation data, which provides the bounds on the three additional mixing angles. We find that the mass matrix elements m αβ (α, β=e, μ, τ) involving only the active states can assume vanishing values in the allowed parameter space for all of the mass spectrum. Among the mass matrix elements connecting the active and sterile states, mes and mμs can become small only for the quasidegenerate neutrinos. The element mτs, on the other hand, can vanish even for lower values of masses since the 3-4 mixing angle only has an upper bound from current data. The mass matrix element (mss) involving only the sterile state stays ∼O(1) eV in the whole parameter region. We study the possible correlations between the sterile mixing angles and the Majorana phases to give a zero element in the mass matrix.

AB - In this paper we study the phenomenological implications of the one-zero textures of low energy neutrino mass matrices in the presence of a sterile neutrino. We consider the 3+1 scheme and use the results from a global fit for short baseline neutrino oscillation data, which provides the bounds on the three additional mixing angles. We find that the mass matrix elements m αβ (α, β=e, μ, τ) involving only the active states can assume vanishing values in the allowed parameter space for all of the mass spectrum. Among the mass matrix elements connecting the active and sterile states, mes and mμs can become small only for the quasidegenerate neutrinos. The element mτs, on the other hand, can vanish even for lower values of masses since the 3-4 mixing angle only has an upper bound from current data. The mass matrix element (mss) involving only the sterile state stays ∼O(1) eV in the whole parameter region. We study the possible correlations between the sterile mixing angles and the Majorana phases to give a zero element in the mass matrix.

UR - http://www.scopus.com/inward/record.url?scp=84884889748&partnerID=8YFLogxK

UR - http://www.scopus.com/inward/citedby.url?scp=84884889748&partnerID=8YFLogxK

U2 - 10.1103/PhysRevD.88.033009

DO - 10.1103/PhysRevD.88.033009

M3 - Article

VL - 88

JO - Physical review D: Particles and fields

JF - Physical review D: Particles and fields

SN - 1550-7998

IS - 3

M1 - 033009

ER -