Improvements on perturbative oscillation formulas including non-standard neutrino interactions

Chaves, Mariano Esteves; Gratieri, D.; Peres, O. L. G.

doi:10.1088/1361-6471/abae17

“…The degeneracy between ˜ ee and τ τ that is from the higher order terms has been also studied in Ref. [25,52].…”

Section: The θ23-˜ µµ Degeneracymentioning

confidence: 99%

Nonstandard interactions versus planet-scale neutrino oscillations

Feng¹,

Tang²,

Wang³

et al. 2019

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The low-energy threshold and the large detector size of Precision IceCube Next Generation Upgrade (PINGU) can make the study on neutrino oscillations with a planet-scale baseline possible. In this task, we consider the configuration that neutrinos are produced at CERN and detected in the PINGU detector, as a benchmark. We discuss its sensitivity of measuring the size of non-standard interactions (NSIs) in matter, which can be described by the parameter αβ (α and β are flavors of neutrinos). We find that the CERN-PINGU configuration improves˜ µµ ≡ µµ − τ τ and µτ significantly compared to the next-generation accelerator neutrino experiments. Most of degeneracy problems in the precision measurements can be resolved, except the one for˜ µµ ∼ −0.035. Moreover, we point out that this configuration can also be used to detect the CP violation brought by NSIs. Finally, we compare the physics potential in this configuration to that for DUNE, T2HK and P2O, and find that the CERN-PINGU configuration can significantly improve the sensitivity to NSIs.

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“…[26] (LMW) and ref. [27] (CGP). We consider a fixed baseline of L 1300 km, relevant in the context of long-baseline neutrino experiments, such as DUNE [60].…”

Section: Jhep05(2021)171mentioning

confidence: 99%

Non-standard neutrino oscillations: perspective from unitarity triangles

Masud

¹

,

Mehta

²

,

Ternes

³

et al. 2021

J. High Energ. Phys.

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We formulate an alternative approach based on unitarity triangles to describe neutrino oscillations in presence of non-standard interactions (NSI). Using perturbation theory, we derive the expression for the oscillation probability in case of NSI and cast it in terms of the three independent parameters of the leptonic unitarity triangle (LUT). The form invariance of the probability expression (even in presence of new physics scenario as long as the mixing matrix is unitary) facilitates a neat geometric view of neutrino oscillations in terms of LUT. We examine the regime of validity of perturbative expansions in the NSI case and make comparisons with approximate expressions existing in literature. We uncover some interesting dependencies on NSI terms while studying the evolution of LUT parameters and the Jarlskog invariant. Interestingly, the geometric approach based on LUT allows us to express the oscillation probabilities for a given pair of neutrino flavours in terms of only three (and not four) degrees of freedom which are related to the geometric properties (sides and angles) of the triangle. Moreover, the LUT parameters are invariant under rephasing transformations and independent of the parameterization adopted.

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“…[26] (LMW) and Ref. [27] (CGP). We consider a fixed baseline of L 1300 km, relevant in the context of long-baseline neutrino experiments, such as DUNE [51].…”

Section: Validity Of the Approximate Lut Expression For Nsimentioning

confidence: 99%

Non-standard neutrino oscillations: perspective from unitarity triangles

Masud,

Mehta,

Ternes

et al. 2021

Preprint

0

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We formulate an alternative approach based on unitarity triangles to describe neutrino oscillations in presence of non-standard interactions (NSI). Using perturbation theory, we derive the expression for the oscillation probability in case of NSI and cast it in terms of the three independent parameters of the leptonic unitarity triangle (LUT). The form invariance of the probability expression (even in presence of new physics scenario as long as the mixing matrix is unitary) facilitates a neat geometric view of neutrino oscillations in terms of LUT. We examine the regime of validity of perturbative expansions in the NSI case and make comparisons with approximate expressions existing in literature. We uncover some interesting dependencies on NSI terms while studying the evolution of LUT parameters and the Jarlskog invariant. Interestingly, the geometric approach based on LUT allows us to express the oscillation probabilities for a given pair of neutrino flavours in terms of only three (and not four) degrees of freedom which are related to the geometric properties (sides and angles) of the triangle. Moreover, the LUT parameters are invariant under rephasing transformations and independent of the parameterization adopted.

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Improvements on perturbative oscillation formulas including non-standard neutrino interactions

Abstract: We use perturbation theory to obtain neutrino oscillation probabilities, including the standard mass-mixing paradigm and non-standard neutrino interactions (NSI). The perturbation is made on the standard parameters Δ m 21 … Show more

Cited by 10 publications

References 118 publications

Nonstandard interactions versus planet-scale neutrino oscillations

Nonstandard interactions versus planet-scale neutrino oscillations

Non-standard neutrino oscillations: perspective from unitarity triangles

Non-standard neutrino oscillations: perspective from unitarity triangles

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