Large-θ13 perturbation theory of neutrino oscillation for long-baseline experiments
The Cervera et al. formula, the best known approximate formula of neutrino oscillation probability for long-baseline experiments, can be regarded as a second-order perturbative formula with small expansion parameter ϵ ≡ ∆ m 21 2 ∆ m 31 2 ≃ 0 . 03 under the 21assumption s 13 ≃ ϵ. If θ 13 is large,...
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Veröffentlicht in: | The journal of high energy physics 2011-06, Vol.2011 (6) |
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Hauptverfasser: | , |
Format: | Artikel |
Sprache: | eng |
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Zusammenfassung: | The Cervera
et al.
formula, the best known approximate formula of neutrino oscillation probability for long-baseline experiments, can be regarded as a second-order perturbative formula with small expansion parameter ϵ ≡ ∆
m
21
2
∆
m
31
2
≃ 0
.
03 under the 21assumption
s
13
≃ ϵ. If
θ
13
is large, as suggested by a candidate
ν
e
event at T2K as well as the recent global analyses, higher order corrections of
s
13
to the formula would be needed for better accuracy. We compute the corrections systematically by formulating a perturbative framework by taking
θ
13
as
, which guarantees its validity in a wide range of
θ
13
below the Chooz limit. We show on general ground that the correction terms must be of order ϵ
2
. Yet, they nicely fill the mismatch between the approximate and the exact formulas at low energies and relatively long baselines. General theorems are derived which serve for better understanding of δ-dependence of the oscillation probability. Some interesting implications of the large
θ
13
hypothesis are discussed. |
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ISSN: | 1029-8479 |
DOI: | 10.1007/JHEP06(2011)022 |