Monte Carlo Simulation

8B Monte Carlo simulation plays a crucial role in the solar neutrino analysis, because it is used to compute the standard solar model neutrino flux prediction as a function of recoil electron energy and zenith angle (angle of the sun with respect to the vertical), taking into account reconstruction resolution and analysis cut efficiencies. Since the new cuts are tighter, cut efficiencies are smaller and a good Monte Carlo simulation especially of the cut efficiencies becomes more important. The various cut efficiencies are studied with calibration data and Monte Carlo simulation of calibration data. The discrepancy between calibration Monte Carlo and data efficiency dominates the systematic error below 6.5 MeV.

The GRINGO cut efficiency is quite sensitive to the amount of light scattering. Light scattering produces hit PMTs which have a later time. These `late hits' can pull the vertex fit and degrade the stability of the fit. The light scattering and absorption model originally used in the Monte Carlo assumes that the amount of Mie scattering, Rayleigh scattering and light absorption is proportional to one single water quality parameter, which depends only on the photon attenuation length (water transparency). An alternate model which assumes, that only the absorption depends on the water transparency while Mie and Rayleigh scattering coefficients remain aproximately constant in the region of interest. This model drastically improves the agreement of calibration Monte Carlo and data cut efficiency. Scattering measurements done with a laser seem to favor this alternate model.

However, there are other causes of late hits. Reflection, pre- and afterpulses as well as non-gaussian tails in the PMT timing response also cause late hits. The detector simulation was retuned to apropriately describe the late hits. As a consequence, the GRINGO cut efficiency shows no discrepancy between calibration MC and data, which significantly reduces the systematic error. Since late hits will also affect the energy scale, the MC energy scale and resolution as well as vertex and angular resolution was retuned using LINAC calibration data.

PMT timing of LINAC calibration events. The time-of-flight of the photon (from the vertex to the pmt) is subtracted. The two boxes show the early and late hits in a different scale.