2006
DOI: 10.1088/1126-6708/2006/10/084
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Unitarity of the leptonic mixing matrix

Abstract: We determine the elements of the leptonic mixing matrix, without assuming unitarity, combining data from neutrino oscillation experiments and weak decays.To that end, we first develop a formalism for studying neutrino oscillations in vacuum and matter when the leptonic mixing matrix is not unitary. To be conservative, only three light neutrino species are considered, whose propagation is generically affected by non-unitary effects. Precision improvements within future facilities are discussed as well.

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Cited by 466 publications
(742 citation statements)
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References 88 publications
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“…The sensitivity to |η eτ | from the |η eτ | 2 term is also present at zero distance and already studied in Ref. [7], where a similar bound was obtained. We have checked that 0 2.…”
Section: The ν E → ν τ Channelsupporting
confidence: 78%
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“…The sensitivity to |η eτ | from the |η eτ | 2 term is also present at zero distance and already studied in Ref. [7], where a similar bound was obtained. We have checked that 0 2.…”
Section: The ν E → ν τ Channelsupporting
confidence: 78%
“…The latter is also present at zero distance and its effects were already considered in Ref. [7], obtaining a bound of similar magnitude. The sensitivity to |η µτ | peaks around |η µτ | ≃ 4 · 10 −4 for δ µτ ≃ ±90 • , where sin δ µτ is maximum.…”
Section: Thesupporting
confidence: 59%
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“…This indicates that we have normalized our states incorrectly. However, this is cancelled by an inverse change in the production and detection cross-sections in the types of experiments considered here [57], so we may use the formulae as if the probabilities were unitary.…”
Section: Appendix B: Oscillation Formalismmentioning
confidence: 99%
“…Such a modification of the SM charged-current interactions would affect lepton universality tests, the measurement of G F from muon decay compared to other measurements, rare lepton decays and the invisible width of the Z, and strong constraints can be derived on the allowed size of η [163,183,[190][191][192]: η ee < 2.0 × 10 −3 , η eµ < 5.9 × 10 −5 , η eτ < 1.6 × 10 −3 , η µµ < 8.2 × 10 −4 , η µτ < 1.0 × 10 −3 and η τ τ < 2.6 × 10 −3 , at the 90 % CL. Up to order η effects, the matrix U can be identified with the PMNS matrix as extracted from experimental data without taking non-unitarity into account.…”
Section: Non-unitarity Of the Leptonic Mixing Matrixmentioning
confidence: 99%