Predictive framework with a pair of degenerate neutrinos at a high scale

Joshipura, Anjan S.; Rindani, Saurabh D.; Singh, N. Nimai

doi:10.1016/s0550-3213(03)00236-0

Cited by 30 publications

(20 citation statements)

References 63 publications

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“…Moreover, δ generated this way can be large and independent of the strength of perturbation parameters. This phenomenon was noticed [29] in the specific case of the radiative generation of U e3 . This occurs here also for a more general perturbation.…”

Section: Introductionmentioning

confidence: 73%

Non-vanishing Ue3 and cos2θ23 from a broken
Grimus
¹
,
Joshipura
²
,
Kaneko
³

et al. 2005
Nuclear Physics B
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It is shown that the neutrino mass matrices in the flavour basis yielding a vanishing U e3 are characterized by invariance under a class of Z 2 symmetries. A specific Z 2 in this class also leads to a maximal atmospheric mixing angle θ 23 . The breaking of that Z 2 can be parameterized by two dimensionless quantities, ǫ and ǫ ′ ; the effects of ǫ, ǫ ′ = 0 are studied perturbatively and numerically.The induced value of |U e3 | strongly depends on the neutrino mass hierarchy. We find that |U e3 | is less than 0.07 for a normal mass hierarchy, even when ǫ, ǫ ′ ∼ 30%. For an inverted mass hierarchy |U e3 | tends to be around 0.1 but can be as large as 0.17. In the case of quasi-degenerate neutrinos, |U e3 | could be close to its experimental upper bound 0.2. In contrast, |cos 2θ 23 | can always reach its experimental upper bound 0.28. We propose a specific model, based on electroweak radiative corrections in the MSSM, for ǫ and ǫ ′ . In that model, both |U e3 | and |cos 2θ 23 |, could be close to their respective experimental upper bounds if neutrinos are quasi-degenerate. *

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Section: Introductionmentioning

confidence: 73%

Non-vanishing Ue3 and cos2θ23 from a broken
Grimus
¹
,
Joshipura
²
,
Kaneko
³

et al. 2005
Nuclear Physics B
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0
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“…For a discussion of RG effects in the case of exactly degenerate neutrino masses, where the above expressions cannot be applied, see e.g. [269][270][271][272][273][274][275][276][277]. ¿From Eqs.…”

Section: Running Masses Mixings and Cp Phases Below The Seesaw Scalementioning

confidence: 99%

Theory of neutrinos: a white paper

et al. 2007

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During 2004, four divisions of the American Physical Society commissioned a study of neutrino physics to take stock of where the field is at the moment and where it is going in the near and far future. Several working groups looked at various aspects of this vast field. The summary was published as a main report entitled "The Neutrino Matrix" accompanied by short 50 page versions of the report of each working group. Theoretical research in this field has been quite extensive and touches many areas and the short 50 page report [1] provided only a brief summary and overview of few of the important points. The theory discussion group felt that it may be of value to the community to publish the entire study as a white paper and the result is the current article. After a brief overview of the present knowledge of neutrino masses and mixing and some popular ways to probe the new physics implied by recent data, the white paper summarizes what can be learned about physics beyond the Standard Model from the various proposed neutrino experiments. It also comments on the impact of the experiments on our understanding of the origin of the matter-antimatter asymmetry of the Universe and the basic nature of neutrino interactions as well as the existence of possible additional neutrinos. Extensive references to original literature are provided.2

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“…With some easy algebra one finds sin 2θ = sin ρ sin 2θ 12 . Only this combination has physical meaning (it is measurable), while the mixing angle θ 12 and the Majorana phase ρ cannot be determined uniquely (a similar discussion can be found in [12]). …”

Section: Arxiv:07080166v2 [Hep-ph] 2 Nov 2007mentioning

confidence: 99%

“…(12). The deviation from maximal 1−2 mixing (sin 2 θ 12 = 1/2) can be of order one for | | We performed a numerical analysis for the most general choice of complex phases.…”

Section: Correlations Among Observablesmentioning

confidence: 99%

Common origin ofθ13andΔm122in a model of neutrino mass with quaternion symmetry

Frigerio

2007

Phys. Rev. D

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The smallness of the 1 − 3 lepton mixing angle θ13 and of the neutrino mass-squared-difference ratio ∆m 2 12 /∆m 2 23 can be understood as the departure from a common limit where they both vanish. We discuss in general the conditions for realizing the mass degeneracy of a pair of neutrinos and show that the vanishing of a CP violating phase is needed. We find that the discrete quaternion group Q of eight elements is the simplest family symmetry which correlates the smallness of ∆m 2 12to the value of θ13. In such a model we predict 0.12 sin θ13 0.2 if the ordering of the neutrino mass spectrum is normal, and sin θ13 0.12 if it is inverted.

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Predictive framework with a pair of degenerate neutrinos at a high scale

Cited by 30 publications

References 63 publications

Non-vanishing Ue3 and cos2θ23 from a broken
Grimus
¹
,
Joshipura
²
,
Kaneko
³

et al. 2005
Nuclear Physics B
Self Cite
126
1
69
0
View full text Add to dashboard Cite

Non-vanishing Ue3 and cos2θ23 from a broken
Grimus
¹
,
Joshipura
²
,
Kaneko
³

et al. 2005
Nuclear Physics B
Self Cite
126
1
69
0
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Theory of neutrinos: a white paper

Common origin ofθ13andΔm122in a model of neutrino mass with quaternion symmetry

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Predictive framework with a pair of degenerate neutrinos at a high scale

Cited by 30 publications

References 63 publications

Non-vanishing Ue3 and cos2θ23 from a broken Grimus1, Joshipura2, Kaneko3 et al. 2005Nuclear Physics BSelf Cite1261690View full textAdd to dashboardCite

Non-vanishing Ue3 and cos2θ23 from a broken Grimus1, Joshipura2, Kaneko3 et al. 2005Nuclear Physics BSelf Cite1261690View full textAdd to dashboardCite

Theory of neutrinos: a white paper

Common origin ofθ13andΔm122in a model of neutrino mass with quaternion symmetry

Contact Info

Product

Resources

About

Non-vanishing Ue3 and cos2θ23 from a broken
Grimus
¹
,
Joshipura
²
,
Kaneko
³

et al. 2005
Nuclear Physics B
Self Cite
126
1
69
0
View full text Add to dashboard Cite

Non-vanishing Ue3 and cos2θ23 from a broken
Grimus
¹
,
Joshipura
²
,
Kaneko
³

et al. 2005
Nuclear Physics B
Self Cite
126
1
69
0
View full text Add to dashboard Cite