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Self Cite

The sensitivity of a huge underground water/ice Cherenkov detector, such as PINGU in IceCube, to the neutrino mass hierarchy, the atmospheric mixing angle and its octant, is studied in detail. Based on the event rate decomposition in the propagation basis, we illustrate the smearing effects from the neutrino scattering, the visible energy and zenith angle reconstruction procedures, the energy and angular resolutions, and the muon misidentification rate, as well as the impacts of systematic errors in the detector resolutions, the muon mis-identification rate, and the overall normalization. The sensitivity, especially the mass hierarchy sensitivity, can be enhanced by splitting the muon-like events into two channels, according to the event inelasticity. We also show that including the cascade events can improve and stabilize the sensitivity of the measurements.

Section: Jhep09(2014)024mentioning

confidence: 99%

Physics reach of atmospheric neutrino measurements at PINGU

Hagiwara

2014

Self Cite

“…In the discrete symmetry approach specific correlations between the mixing angles and the CP-violating (CPV) phases occur. These correlations are usually referred to as neutrino mixing sum rules (see, e.g., [3,4,[10][11][12][13][14][15][16][17][18][19]). 1 Since mixing sum rules are concrete relations between different observables, i.e., the neutrino mixing angles and the Dirac phase, they can be tested experimentally.…”

Section: Jhep11(2016)146mentioning

confidence: 99%

“…For the minimal corrections there is no allowed parameter region which is compatible with | cos δ| ≤ 1. We set the high-energy scale to 10 13 GeV.…”

Section: Allowed Parameter Regions With Rg Correctionsmentioning

confidence: 99%

Renormalisation group corrections to neutrino mixing sum rules

Gehrlein

Petcov

Spinrath

et al. 2016

Neutrino mixing sum rules are common to a large class of models based on the (discrete) symmetry approach to lepton flavour. In this approach the neutrino mixing matrix U is assumed to have an underlying approximate symmetry formŨ ν , which is dictated by, or associated with, the employed (discrete) symmetry. In such a setup the cosine of the Dirac CP-violating phase δ can be related to the three neutrino mixing angles in terms of a sum rule which depends on the symmetry form ofŨ ν . We consider five extensively discussed possible symmetry forms ofŨ ν : i) bimaximal (BM) and ii) tribimaximal (TBM) forms, the forms corresponding to iii) golden ratio type A (GRA) mixing, iv) golden ratio type B (GRB) mixing, and v) hexagonal (HG) mixing. For each of these forms we investigate the renormalisation group corrections to the sum rule predictions for δ in the cases of neutrino Majorana mass term generated by the Weinberg (dimension 5) operator added to i) the Standard Model, and ii) the minimal SUSY extension of the Standard Model.

“…Some of the latter have also suggested a few neutrino mixing sum-rules [12][13][14][15][16][17][18]. We henceforth use the superscript zero to denote the TBM limit.…”

Section: Jhep02(2015)135mentioning

confidence: 99%

Testable constraint on near-tribimaximal neutrino mixing

Brahmachari

Roy

2015

General lowest order perturbations to hermitian squared mass matrices of leptons are considered away from the tribimaximal (TBM) limit in which a weak flavor basis with mass diagonal charged leptons is chosen. The three measurable TBM deviants are expressed linearly in terms of perturbation induced dimensionless coefficients appearing in the charged lepton and neutrino flavor eigenstates. With unnatural cancellations assumed to be absent and the charged lepton perturbation contributions to their flavor eigenstates argued to be small, we analytically derive the following result. Within lowest order perturbations, a deviation from maximal atmospheric neutrino mixing and the amount of CP violation in neutrino oscillations cannot both be large (i.e. 12-17%), posing the challenge of verification to forthcoming experiments at the intensity frontier.