Contrasting solar and reactor neutrinos with a non-zero value of θ<sub>13</sub>

Balantekin, A. B.; Yılmaz, Deniz

doi:10.1088/0954-3899/35/7/075007

Cited by 53 publications

(56 citation statements)

References 71 publications

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“…Vanishing θ 13 is thus disfavored at 1.6σ. Similar values and ranges have been found in other, independent analyses [10]. We note that the hint in the atmospheric data has been questioned [11], but that the recent MINOS data show an excess of electron events [12], which may be interpreted [13] as another hint for a non-zero θ 13 .…”

Section: Introductionsupporting

confidence: 84%

Large|Ue3|and tribimaximal mixing

et al. 2009

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We investigate in a model-independent way to what extent one can perturb tri-bimaximal mixing in order to generate a sizable value of |U e3 |, while at the same time keeping solar neutrino mixing near its measured value, which is close to sin 2 θ 12 = 1 3 . Three straightforward breaking mechanisms to generate |U e3 | ≃ 0.1 are considered. For charged lepton corrections, the suppression of a sizable contribution to sin 2 θ 12 can be achieved if CP violation in neutrino oscillations is almost maximal. Generation of the indicated value of |U e3 | ≃ 0.1 through renormalization group corrections requires the neutrinos to be quasi-degenerate in mass. The consistency with the allowed range of sin 2 θ 12 together with large running of |U e3 | forces one of the Majorana phases to be close to π. This implies large cancellations in the effective Majorana mass governing neutrino-less double beta ((ββ) 0ν -)decay, constraining it to lie near its minimum allowed value of m 0 cos 2θ 12 , where m 0 > ∼ 0.1 eV. Finally, explicit breaking of the neutrino mass matrix in the inverted hierarchical and quasi-degenerate neutrino mass spectrum cases is similarly correlated with the (ββ) 0ν -decay effective Majorana mass, although to a lesser extent. The implied values for the atmospheric neutrino mixing angle θ 23 are given in all cases.

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Section: Introductionsupporting

confidence: 84%

Large|Ue3|and tribimaximal mixing

et al. 2009

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“…The first hint appears in [25] at only 0.9σ C.L.. It persists in all subsequent global fits [26][27][28][29][30] and increases steadily to about 3σ [31,32] as summarized in Table I.…”

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confidence: 90%

Residual Symmetries for Neutrino Mixing with a Largeθ13and Nearly MaximalδD

2012

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“…We also have no knowledge of the ordering of the neutrino mass eigenstate; namely, is m 3 greater or less than m 1 and m 2 ? The former (latter) situation is termed the normal (inverted) hierarchy.Recently, hints of nonzero θ 13 have been reported as a means by which to ease the tension between the determination of the oscillation parameters θ 12 and ∆ 21 by the solar and KamLAND experiments [5,6]. At a smaller significance, analyses of atmospheric data also hint at nonzero θ 13 [7,8], though one study shows that the significance of the results are dependent upon the precise nature of the statistical analysis [9].…”

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confidence: 99%

Impact of hierarchy upon the values of neutrino mixing parameters

Escamilla-Roa¹,

Latimer²,

Ernst³

2010

Phys. Rev. C

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A neutrino-oscillation analysis is performed of the more finely binned Super-K atmospheric, MI-NOS, and CHOOZ data in order to examine the impact of neutrino hierarchy in this data set upon the value of θ13 and the deviation of θ23 from maximal mixing. Exact oscillation probabilities are used, thus incorporating all powers of θ13 and ε := θ23 − π/4. The extracted oscillation parameters are found to be dependent on the hierarchy, particularly for θ13. We find at 90% CL are ∆32 = 2.44 +0.26 −0.20 and 2.48 +0.25 −0.22 × 10 −3 eV 2 , ε = θ23 − π/4 = 0.06 +0.06 −0.16 and 0.06 +0.08 −0.17 , and θ13 = −0.07 +0.18 −0.11 and −0.13 +0.23 −0.16 , for the normal and inverted hierarchy respectively. The inverted hierarchy is preferred at a statistically insignificant level of 0.3 σ.PACS numbers: 14.60.Pq Keywords: neutrino oscillations, three neutrinos, mixing angles, mass-squared differences, mass hierarchyThe field of neutrino oscillations has progressed rapidly over the past fifteen years. The data can largely be understood by the oscillation of the three known neutrinos [1, 2]. Oscillation phenomenology invokes a unitary matrix that relates the flavor basis, in which the neutrinos are created or destroyed, to the mass basis, in which the neutrinos propagate through vacuum. This matrix can be written in terms of three real mixing angles, θ 12 , θ 23 , and θ 13 , and a phase δ that determines CP violation. Oscillations also require nonzero neutrino mass differences, being dependent upon the difference of the square of the masses, ∆ ij := m 2 i − m 2 j with m i the mass of neutrino i. A recent analysis [3] reports the present knowledge of the values of the oscillation parameters. In particular, we note that only an upper limit exists on the size of the "reactor" mixing angle |θ 13 | = 0.19 +0.12 −0.19 (1σ), a constraint which arises, in part, from the null oscillation result of the CHOOZ experiment [4]. A nonzero value of θ 13 is requisite for the existence of CP violation in neutrino oscillations; hence, we presently have no knowledge of the value of δ. We also have no knowledge of the ordering of the neutrino mass eigenstate; namely, is m 3 greater or less than m 1 and m 2 ? The former (latter) situation is termed the normal (inverted) hierarchy.Recently, hints of nonzero θ 13 have been reported as a means by which to ease the tension between the determination of the oscillation parameters θ 12 and ∆ 21 by the solar and KamLAND experiments [5,6]. At a smaller significance, analyses of atmospheric data also hint at nonzero θ 13 [7,8], though one study shows that the significance of the results are dependent upon the precise nature of the statistical analysis [9]. Furthermore, an analysis of the updated atmospheric data finds no preference for nonzero θ 13 [10]; however, this analysis employs approximate oscillation formulae and cannot be directly compared to these other works. Should these various hints be cleanly confirmed in current neutrino oscillation experiments [11-13], then one might be able to attack the issue of C...

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Contrasting solar and reactor neutrinos with a non-zero value of θ₁₃

Cited by 53 publications

References 71 publications

Large|Ue3|and tribimaximal mixing

Large|Ue3|and tribimaximal mixing

Residual Symmetries for Neutrino Mixing with a Largeθ13and Nearly MaximalδD

Impact of hierarchy upon the values of neutrino mixing parameters

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Contrasting solar and reactor neutrinos with a non-zero value of θ13

Cited by 53 publications

References 71 publications

Large|Ue3|and tribimaximal mixing

Large|Ue3|and tribimaximal mixing

Residual Symmetries for Neutrino Mixing with a Largeθ13and Nearly MaximalδD

Impact of hierarchy upon the values of neutrino mixing parameters

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Contrasting solar and reactor neutrinos with a non-zero value of θ₁₃