Nonstandard neutrino interactions at DUNE, T2HK and T2HKK

A critical review is given of the current status of cosmological nucleosynthesis. In the framework of the Standard Model with 3 types of relativistic neutrinos, the baryon-to-photon ratio, \(\eta\), corresponding to the inferred primordial abundances of deuterium and helium-4 is consistent with the independent determination of \(\eta\) from observations of anisotropies in the cosmic microwave background. However the primordial abundance of lithium-7 inferred from observations is significantly below its expected value. Taking systematic uncertainties in the abundance estimates into account, there is overall concordance in the range \(\eta = (5.7-6.7)\times 10^{-10}\) at 95% CL (corresponding to a cosmological baryon density \(\Omega_B h^2 = 0.021 - 0.025\)). The D and He-4 abundances, when combined with the CMB determination of \(\eta\), provide the bound \(N_\nu=3.28 \pm 0.28\) on the effective number of neutrino species. Other constraints on new physics are discussed briefly.

We present a global analysis of solar, atmospheric, reactor and accelerator neutrino data in the framework of three-neutrino oscillations based on data available in summer 2014. We provide the allowed ranges of the six oscillation parameters and show that their determination is stable with respect to uncertainties related to reactor neutrino and solar neutrino flux predictions. We find that the maximal possible value of the Jarlskog invariant in the lepton sector is \(0.0329 \pm 0.0009\) (\(\pm 0.0027\)) at the \(1\sigma\) (\(3\sigma\)) level and we use leptonic unitarity triangles to illustrate the ability of global oscillation data to obtain information on CP violation. We discuss "tendencies and tensions" of the global fit related to the octant of \(\theta_{23}\) as well as the CP violating phase \(\delta_\mathrm{CP}\). The favored values of \(\delta_\mathrm{CP}\) are around \(3\pi/2\) while values around \(\pi/2\) are disfavored at about \(\Delta\chi^2 \simeq 6\). We comment on the non-trivial task to assign a confidence level to this \(\Delta\chi^2\) value by performing a Monte Carlo study of T2K data.