Bounds on non-standard neutrino interactions using PINGU

We investigate the impact of non-standard neutrino interactions (NSIs) on atmospheric neutrinos using the proposed PINGU experiment. In particular, we focus on the matter NSI parameters εμτεμτ and |εττ−εμμ||εττ−εμμ| that have previously been constrained by the Super-Kamiokande experiment. First, we present approximate analytical formulas for the difference of the muon neutrino survival probability with and without the above-mentioned NSI parameters. Second, we calculate the atmospheric neutrino events at PINGU in the energy range (2–100) GeV, which follow the trend outlined on probability level. Finally, we perform a statistical analysis of PINGU. Using three years of data, we obtain bounds from PINGU given by −0.0043 (−0.0048)<εμτ<0.0047(0.0046) and −0.03 (−0.016)<εττ<0.017(0.032) at 90% confidence level for normal (inverted) neutrino mass hierarchy, which improve the Super-Kamiokande bounds by one order of magnitude. In addition, we show the expected allowed contour region in the εμτεμτ–εττεττ plane if NSIs exist in Nature and the result suggests that there is basically no correlation between εμτεμτ and εττεττ.