Data release for "Measurement of the solar neutrino interaction rate below 3.49 MeV in Super-Kamiokande-IV"

This data release accompanies the article "Measurement of the solar neutrino interaction rate below 3.49 MeV in Super-Kamiokande-IV" to be published in Physical Review D. It includes solar angle distributions for each selection bin and the fits to the electron neutrino survival probability as a function of neutrino energy.

Solar Angle Distributions

The solar angle distributions are given as 51 ROOT histograms in a single file, "solar_angle.root", which can be used to reproduce the solar angle distributions in Figures 5-8 and 11.
The histogram names corresponding to the data begin with "data_" followed by the dataset name [WIT, SLE 34-hit period, SLE 31-hit period, Combined], the lower energy bound in electron kinetic energy, the upper energy bound, the lower multiple scattering goodness (MSG) bound, and the upper MSG bound.
Distributions are provided in 2.49 MeV - 2.99 MeV and 2.99 MeV - 3.49 MeV for the WIT dataset and 2.99 MeV - 3.49 MeV for all others.
While the plots in the paper use 25 bins, 200 finer bins are provided here to allow the user to choose the binning.

Histograms beginning with "backshape" correspond to the data-driven fit to the background distribution ("background shape") according to the "scramble" method (see Section V).

Histograms begging with "totshape" correspond to the background shape added to the polynomial fit to the solar signal simulation distribution ("signal shape"). For the purposes of these plots, the signal shape is scaled to match the actual measured number of solar neutrino events.

Error Bars

The error bars in the data histograms correspond to typical $1/\sqrt{N}$ statistical errors.

Because the scramble method does not have an associated error, for illustrative purposes, the error bars in the background shapes are assigned to correspond to the statistical uncertainty of the number of background events observed in the sample. The background shape error is assumed to be constant as a function of solar angle. Similarly, the errors in the signal shape are assigned to correspond to the statistical uncertainty of the number of observed signal events in data.

To construct the total shape error while keeping the total number of events consistent with the data, the background and signal shape errors are anti-correlated. A $-1\sigma$ variation in the background shape is combined with a $+1\sigma$ variation in the signal shape, and vice versa for the opposite bound. The background shape error dominates in the region near $\cos{\theta_{\text{sun}}} = -1$, and signal shape error dominates near $\cos{\theta_{\text{sun}}} = 1$. This approach therefore creates a point in every plot where the background shape error exactly cancels the signal shape error.

Survival Probability Spectra

Two CSV files are provided to correspond to the electron neutrino survival probability fits in Figure 12. "survival_prob_exponential_contours.csv" contains the plot values for the exponential parameterizations corresponding to Figure 12(a), and "survival_prob_quadratic_contours.csv" corresponds to the quadratic parameterizations in Figure 12(b).

As shown in the header lines, Column 1 gives the neutrino energy in MeV. The same $+1\sigma$ and $-1\sigma$ confidence intervals as for the corresponding fits in PhysRevD.109.092001 are provided first in Columns 2 and 3. The intervals after including the additional 2.99 MeV - 3.49 MeV bin from this article are provided in Columns 4 and 5.