Exact formulas and simple<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" display="inline"><mml:mi>CP</mml:mi></mml:math>dependence of neutrino oscillation probabilities in matter with constant density

Kimura, Keiichi; Takamura, Akira; Yokomakura, Hidekazu

doi:10.1103/physrevd.66.073005

Cited by 130 publications

(157 citation statements)

References 63 publications

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“…12 are non-zero in this case when only SI are operating [57,58]. The CP violation sensitivity is due to the terms proportional to r λ s 13 ∼ 0.03 in this case as expected from standard matter case.…”

Section: P µE (δ) In Matter In Presence Of Non-standard Interactionsmentioning

confidence: 66%

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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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Section: P µE (δ) In Matter In Presence Of Non-standard Interactionsmentioning

confidence: 66%

“…We give relevant analytic expressions in order to understand and contrast the features obtained from the probability in the case of vacuum and matter (both SI as well as NSI) [32,45,[54][55][56][57][58][59][60].…”

Section: Non-standard Neutrino Interactionsmentioning

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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“…There are no resonances of antineutrinos in a normal mass hierarchy. Thus, the increase in the rates of charged-currentν e reactions is small and does not depend on sin 2 2θ 13 .…”

Section: Resultsmentioning

confidence: 99%

“…Although the temperature dependence is similar among the 7 Li and 11 B yields, the enhancement of the yield by neutrino oscillations is different between 7 Li and 11 B. Thus, we consider the dependence of the 7 Li/ 11 B abundance ratio on mass hierarchies and sin 2 2θ 13 . Figure 2 shows the 7 Li/ 11 B abundance ratio with the relation of sin 2 2θ 13 in normal and inverted mass hierarchies.…”

Section: Resultsmentioning

confidence: 99%

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Can Supernova Neutrino Nucleosynthesis Constrain Neutrino Oscillation Parameters?

Yoshida¹,

Kajino²,

Yokomakura³

et al. 2010

Proceedings of International Symposium on Nuclear Astrophysics - Nuclei in the Cosmos - IX — PoS(NIC-IX)

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Recent neutrino experiment confirmed that neutrinos have finite masses and that neutrino oscillations occur. Supernova neutrinos also change their flavors propagating in the stellar material surrounding a proto-neutron star and, accordingly, change their spectral energy distributions. The nucleosynthesis of light elements such as 7 Li and 11 B is significantly enhanced through the ν-process in supernova explosions. Yields depend on the energy spectra of the neutrinos emitted from the proto-neutron star, so that neutrino oscillations could be crucial for the estimated yields of 7 Li, 11 B, and other isotopes produced in supernovae. We evaluate the 7 Li and 11 B yields in supernovae taking into account changes of the neutrino energy spectra due to flavor oscillations assuming large mixing angle solutions. We investigate their dependence on key parameters, such as mass hierarchies and the mixing angle θ 13 . In the case of a normal mass hierarchy and an adiabatic resonance of 13-mixing, the 7 Li yield is larger than that without neutrino oscillations by a factor of ∼ 2. For other parameter cases and for the 11 B yield in general, the enhancement is smaller. The increase of the 7 Li/ 11 B ratio is demonstrated for a normal mass hierarchy and a relatively large sin 2 2θ 13 , where 13-mixing resonance is adiabatic and sin 2 2θ 13 < 0.1. Thus, the detection of 7 Li/ 11 B enhancements in stars showing signs of supernova enrichment suggest a normal mass hierarchy and relatively large value of sin 2 2θ 13 .

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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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Exact formulas and simpleCPdependence of neutrino oscillation probabilities in matter with constant density

Cited by 130 publications

References 63 publications

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

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

Can Supernova Neutrino Nucleosynthesis Constrain Neutrino Oscillation Parameters?

Simple and compact expressions for neutrino oscillation probabilities in matter

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