Does the Borexino experiment have enough resolution to detect the neutrino flavor day-night asymmetry?

Abstract

The Earth's density distribution can be approximately considered piecewise continuous at the scale of two-flavor oscillations of neutrinos with energies about 1 MeV. This quite general assumption appears to be enough to analytically calculate the day-night asymmetry factor. Using the explicit time averaging procedure, we show that, within the leading-order approximation, this factor is determined by the electron density immediately before the detector, i.e. in the Earth's crust. Within the approximation chosen, the resulting asymmetry factor does not depend either on the properties of the inner Earth's layers or on the substance and the dimensions of the detector. For beryllium neutrinos, we arrive at the asymmetry factor estimation of about $-4\times 10^{-4}$, which is at least one order of magnitude beyond the present experimental resolution, including that of the Borexino experiment.

16 pages, 3 figures; Talk given at the 17th International Seminar on High Energy Physics "QUARKS'2012" (Yaroslavl, Russia, June 4-10, 2012); to appear in the Proceedings volume

References in corpus (8)

• The Magnus expansion and some of its applications
• Precision measurement of the 7Be solar neutrino interaction rate in Borexino
• Solar neutrino results in Super-Kamiokande-III
• The next-generation liquid-scintillator neutrino observatory LENA
• Absence of day-night asymmetry of 862 keV Be-7 solar neutrino rate in Borexino and MSW oscillation parameters
• Perturbative exponential expansion and matter neutrino oscillations
• Search for modulations of the solar Be-7 flux in the next-generation neutrino observatory LENA
• An accurate analytic description of neutrino oscillations in matter

Cited by in corpus (6)

• Constraints on Flavor-Diagonal Non-Standard Neutrino Interactions from Borexino Phase-II
• Tests of Lorentz invariance at the Sudbury Neutrino Observatory
• Oscillation tomography of the Earth with solar neutrinos and future experiments
• Neutrino flavor oscillations and spin rotation in matter and electromagnetic field
• Day-Night Asymmetries in Active-Sterile Solar Neutrino Oscillations
• Oscillations of the ${}^7$Be solar neutrinos inside the Earth