Erratum:<i>CP</i>violation and matter effect in long baseline neutrino oscillation experiments [Phys. Rev. D 56, 3093 (1997)]

Arafune, J.; Koike, Masafumi; Sato, Joe

doi:10.1103/physrevd.60.119905

Cited by 100 publications

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“…In this paper we reexamine the treatment of Ref. [11], assuming an arbitrary spatial dependence in ρ(x) and hence a(x, E), consistent with the approximation |a| << |∆m 2 32 |. We give extended versions of the formulae of Arafune et al, accommodating such a nonuniform ρ(x) and in a general neutrino mixing basis.…”

Section: Introductionmentioning

confidence: 99%

“…However, the simple methods, proposed in Ref. [11] to filter out the matter effect terms, are specific to the uniform earth density assumption and do not extend to the variable density case in the lowest order of perturbation theory. We show that, in general, it is not possible to separate the 'fake' matter induced asymmetry from the genuine CP effect by keeping two detectors at distances L 1 and L 2 from the source while keeping the ratio…”

Section: Introductionmentioning

confidence: 99%

“…Several studies [2,9,10,11] have been conducted to this end. Specifically, we shall use the formalism of Arafune et al [11] developed to treat the matter effect as well as the subdominant oscillation driven by ∆m 2 21 and θ 12 perturbatively to the lowest order relative to the dominant oscillation driven by |∆m 2 32 | and θ 23 . Thus the evolution matrix element S βα (x) ≡< ν β (x)|ν α (0) >, α, β being flavour indices, could be calculated to first order in ∆m 2 21 and a, where…”

Section: Introductionmentioning

confidence: 99%

“…The parameter ρ was assumed in Ref. [11] to be spatially uniform 1 . This is not always a realistic assumption [9], especially for future very long baseline experiments where nonuniformity in earth's density profile cannot be neglected.…”

Section: Introductionmentioning

confidence: 99%

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CP violation and matter effect for a variable earth density in very long baseline experiments

2003

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The perturbative treatment of subdominant oscillation and matter effect in neutrino beams/superbeams, propagating over long baselines and being used to look for CP violation, is studied here for a general matter density function varying with distance. New lowest order analytic expressions are given for different flavour transition and survival probabilities in a general neutrino mixing basis and a variable earth matter density profile. It is demonstrated that the matter effect in the muon neutrino (antineutrino) flavour survival probability vanishes to this order, provided the depletion, observed for atmospheric muon neutrinos and antineutrinos at super-Kamiokande, is strictly maximal. This result is independent of the earth density profile and the distance L between the source and the detector. In the general variable density case we show that one cannot separate the matter induced asymmetry from a genuine CP effect by keeping two detectors at distances L 1 and L 2 from the source while maintaining a fixed ratio L 1 /E 1 = L 2 /E 2 . This needs to be done numerically and we estimate the asymmetry generated by the earth matter effect with particular density profiles and some chosen parameters for very long baseline neutrino oscillation experiments.

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Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

Section: Introductionmentioning

confidence: 99%

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CP violation and matter effect for a variable earth density in very long baseline experiments

2003

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“…This poses a problem in the determination of intrinsic CP phase as matter induces additional CP violating effects in the oscillation formalism, commonly referred to as extrinsic (fake) CP violation effects [32]. Any new physics in neutrino interactions can, in 1 The absolute mass scale and the two Majorana phases are not accessible in oscillation experiments.…”

Section: Introductionmentioning

confidence: 99%

Probing the CP violation signal at DUNE in the presence of non-standard neutrino interactions

Masud

Chatterjee

Mehta

2016

J. Phys. G: Nucl. Part. Phys.

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We discuss the impact of non-standard neutrino matter interactions (NSI) in propagation on the determination of CP phase in the context of the long baseline accelerator experiments such as Deep Underground Neutrino Experiment (DUNE). DUNE will mainly address the issue of CP violation in the leptonic sector. Here we study the role of NSI and its impact on the question of observing the CP violation signal at DUNE. We consider two scenarios of oscillation with three active neutrinos in absence and presence of NSI. We elucidate the importance of ruling out subdominant new physics effects introduced by NSI in inferring CP violation signal at DUNE by considering NSI terms collectively as well as by exploiting the non-trivial interplay of moduli and phases of the NSI terms. We demonstrate the existence of NSI-SI degeneracies which need to be eliminated in reliable manner in order to make conclusive statements about the CP phase.

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Simple and compact expressions for neutrino oscillation probabilities in matter

Minakata

Parke

2016

J. High Energ. Phys.

164

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We reformulate perturbation theory for neutrino oscillations in matter with an expansion parameter related to the ratio of the solar to the atmospheric ∆m 2 scales. Unlike previous works, we use a renormalized basis in which certain first-order effects are taken into account in the zeroth-order Hamiltonian. We show that the new framework has an exceptional feature that leads to the neutrino oscillation probability in matter with the same structure as in vacuum to first order in the expansion parameter. It facilitates immediate physical interpretation of the formulas, and makes the expressions for the neutrino oscillation probabilities extremely simple and compact. We find, for example, that the ν e disappearance probability at this order is of a simple two-flavor form with an appropriately identified mixing angle and ∆m 2 . More generally, all the oscillation probabilities can be written in the universal form with the channel-discrimination coefficient of 0, ±1 or simple functions of θ 23 . Despite their simple forms they include all order effects of θ 13 and all order effects of the matter potential, to first order in our expansion parameter.

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Erratum:CPviolation and matter effect in long baseline neutrino oscillation experiments [Phys. Rev. D 56, 3093 (1997)]

Cited by 100 publications

References 0 publications

CP violation and matter effect for a variable earth density in very long baseline experiments

CP violation and matter effect for a variable earth density in very long baseline experiments

Probing the CP violation signal at DUNE in the presence of non-standard neutrino interactions

Simple and compact expressions for neutrino oscillation probabilities in matter

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