Status of three‐neutrino oscillation parameters

Abstract

Key words Neutrino mass and mixing, neutrino oscillations, solar and atmospheric neutrinos, reactor and accelerator neutrinos.Here we review the current status of global fits to neutrino oscillation data within the three-flavour framework. In our analysis we include the most recent data from solar and atmospheric neutrino experiments as well as the latest results from the long-baseline accelerator neutrino experiments and the recent measurements of reactor neutrino disappearance reported by Double Chooz, Daya Bay and RENO. We present updated determinations for the two neutrino mass splittings and the three mixing angles responsible for neutrino oscillations that, for the first time, have all been measured with 1σ accuracies ranging from 3 to 15%. A weak sensitivity for the CP violating phase δ is also reported from the global analysis.

Dark Matter and the elusive Z′ in a dynamical Inverse Seesaw scenario

“…For instance, for g BL = 0.25 and m Z = 10 TeV, a DM mass m χ = 3.8 TeV is required to have σ DD χ ∼ 9 × 10 −10 pb. In turn, this bound translates into a lower limit on the vev of φ 1 : v 1 40 TeV (with Y χ 0.1). Next generation experiments such as XENON1T [74] and LZ [75] are expected to improve the current bounds by an order of magnitude and could test the parameter space of this model, as it will be discussed in Sec.…”

$0\nu2β$ decay and neutrino magnetic moment

“…The magnetic field strength B can be realistically estimated to be of the order of O(1) T. The magnetic moment, on the other hand, does not exceed 10 −11 µ B [11]. Neutrino masses squared m 2 1 and m 2 2 are of the order of 10 −5 eV [13]. Taking all of this into account, one finally arrives at the relation…”

“…The form of the neutrino mixing matrix contains complex phases which describe possible CP violation in neutrino oscillations. These phases are unknown, although recent best-fit values [13] suggest a small CP violation present in U .…”

Neutrinoless Double Beta Decay Mediated by the Neutrino Magnetic Moment

“…To start with, we need to compute the corrected neutrino masses by diagonalizing the Hamiltonian (23). One of the newest compilations of neutrino oscillation parameters [20] gives the best-fit values: sin 2 θ 12 = 0.320, sin 2 θ 13 = 0.026, sin 2 θ 23 = 0.490, ∆m neutrino is arbitrarily set to m 1 = 0.05 eV. We have estimated the neutrino magnetic moments to be of the order of 10 −15 µ B , the field B = 1 T, and the neutron and proton number densities to be ∼ 10 −31 eV 3 , which correspond to the 76 Ge nucleus.…”

“…The phases are in principle uncorrelated and independently take values between 0 and 2π. Global fits from the neutrino oscillation experiments are rather non-conclusive and the best-fit values in the 1σ error range read [20]:…”