Bounds on Non-Standard Neutrino Interactions Using PINGU

Abstract

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 ${\epsilon }_{\mu \tau }$ and $|{\epsilon }_{\tau \tau }-{\epsilon }_{\mu \mu }|$ 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 $-0.0043(-0.0048)<{\epsilon }_{\mu \tau }<0.0047(0.0046)$ and $-0.03(-0.016)<{\epsilon }_{\tau \tau }<0.017(0.032)$ 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 ${\epsilon }_{\mu \tau }$-${\epsilon }_{\tau \tau }$ plane if NSIs exist in Nature and the result suggests that there is basically no correlation between ${\epsilon }_{\mu \tau }$ and ${\epsilon }_{\tau \tau }$.

arXiv comment19 pages, 7 figures. Final version published in Phys. Lett. B

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