2004/04/30 by E. Kh. Akhmedov, E. Kh Akhmedov, M. A. Tortola +3 · 1 citation
Physics and Astronomy · #Adiabatic process #Astrophysics and Cosmic Phenomena #Asymmetry #Flux (metallurgy) #Mixing (physics) #Neutrino #Neutrino Physics Research #Neutrino oscillation #Radioactive Decay and Measurement Techniques #Solar neutrino #Weinberg angle #astro-ph #hep-ex #hep-ph
paper · pdf · doi:10.1088/1126-6708/2004/05/057
published as JHEP 0405:057,2004 · 22 pages, 6 figures. New appendix with the derivation of Eq. (3.6) added. Version published in JHEP
openalex publication_date 2004/05/24 · arxiv created 2004/12/03 · arxiv updated 2009/12/01 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
In the 3-flavour framework we derive a simple approximate analytic expression for the day-night difference of the flux of solar νe at terrestrial detectors which is valid for an arbitrary Earth density profile. Our formula has the accuracy of a few per cent and reproduces all the known analytic expressions for the Earth matter effects on the solar neutrino oscillations obtained under simplifying assumptions about the Earth's density profile (matter of constant density, 3 layers of constant densities, and adiabatic approximation). It can also be used for studying the Earth matter effects on the oscillations of supernova neutrinos. We also discuss the possibility of probing the leptonic mixing angle θ13 through day--night asymmetry measurements at future water Cherenkov solar neutrino detectors. We show that, depending on the measured value of the asymmetry, the current upper bound on θ13 may be improved, or even a lower bound on this mixing parameter may be obtained.