Erratum to: Search for annihilating dark matter in the Sun with 3 years of IceCube data

1 Erratum to: Eur. Phys. J. C (2017) 77:146 https://doi.org/10.1140/epjc/s10052-017-4689-9

Table 1 p values and 90% C.L. upper limits on the number of signal events within the two samples in $\sim$532 days of livetime, corresponding to three years of operation of IceCube-DeepCore in its final configuration. The average effective volumes over the three years are also provided, as well as upper limits on the muon flux, annihilation rate, and the spin-dependent and spin-independent WIMP-proton scattering cross sections

In the analysis published in Ref. [1], constraints on the number of signal events $n_{\mathrm {s}}$ can be interpreted as constraints on the volumetric neutrino to muon conversion rate $\varLambda _{\nu \bar{\nu } \rightarrow \mu ^+ \mu ^-}$,

$$\begin{aligned} \varLambda _{\nu \bar{\nu } \rightarrow \mu ^+ \mu ^-}^{\mathrm {90\%C.L.}} = \frac{n_{\mathrm {s}}^{\mathrm {90\%C.L.}}}{\sum _j T_{\mathrm {live}}^j V_{\mathrm {eff}}^j }, \end{aligned}$$

(1)

where $T_{\mathrm {live}}$ and $V_{\mathrm {eff}}$ are the livetime and effective volume of the data sample of index j. These can then be interpreted as constraints on the muon flux $\varPhi _{\mu ^+ + \mu ^-}$, dark matter (DM) annihilation rate in the Sun $\varGamma _{\chi \chi \rightarrow \mathrm {SM}}$, as well as the spin-dependent (SD) and spin-independent (SI) scattering cross sections $\sigma _{\mathrm {SD}}$ and $\sigma _{\mathrm {SI}}$ using WimpSim [2].

In Table 4 of Ref. [1], the labels and units of columns 7 and 8 suggest that the muon flux $\varPhi _{\mu ^+ + \mu ^-}$ (in units km$^{-2}$ year$^{-1}$) is being presented. However for the first 12 rows, corresponding to points in which the DeepCore (DC) dataset was included, the volumetric neutrino to muon conversion rate $\varLambda _{\nu \bar{\nu } \rightarrow \mu ^+ \mu ^-}$ (in units km$^{-3}$ year$^{-1}$) were erroneously reported instead. The corrected table (Table 1) is presented hereby. All other columns remain unchanged. All quantities that go into the right hand side of Eq. 1 are presented in the table, as well as median sensitivities and 90% C.L. upper limits on the muon flux $\varPhi _{\mu ^+ + \mu ^-}$ derived using WimpSim [2].

The final results and conclusions presented in Ref. [1] in terms of constraints on the SD and SI scattering cross sections $\sigma _{\mathrm {SD}}$ and $\sigma _{\mathrm {SI}}$ as well as the DM annihilation rate in the Sun $\varGamma _{\chi \chi \rightarrow \mathrm {SM}}$, remain unchanged.

In Section 4.2 of Ref. [1], the maximum zenith angle of the Sun is erroneously mentioned as 104$^{\circ }$. The correct maximum zenith angle of the Sun is 114$^{\circ }$at the South Pole.