Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
1999-03-24
JHEP 9908:018,1999
Physics
High Energy Physics
High Energy Physics - Phenomenology
JHEP style, 22 pages, 7 figures. References added, and minor rewording
Scientific paper
10.1088/1126-6708/1999/08/018
It has been stated in the literature that the case of maximal mixing angle for \nu_e leads to no day-night effect for solar neutrinos and an energy independent flux suppression of 1/2. While the case of maximal mixing angle and \Delta m^2 in the MSW range does lead to suppression of the electron neutrinos reaching the earth from the sun by P_S=1/2, the situation is different for neutrinos that have passed through the earth. We make the pedagogical point that, just as with smaller mixing angles, the earth regenerates the |\nu_1> state from the predominantly |\nu_2 > state reaching the earth, leading to coherent interference effects. This regeneration can lead to a day-night effect and an energy dependence of the suppression of solar electron neutrinos, even for the case of maximal mixing. For large mixing angles, the energy dependence of the day-night asymmetry depends heavily on Delta m^2. With a sufficiently sensitive measurement of the day-night effect, this energy dependence could be used to distinguish among the large mixing angle solutions of the solar neutrino problem.
Guth Alan H.
Randall Lisa
Serna Mario
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