2001/04/19 by Gulsheen Ahuja, Ahuja, Gulsheen, Monika Randhawa +3
Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Phenomenology (hep-ph) #hep-ph
paper · pdf · doi:10.48550/arxiv.hep-ph/0104190
16 pages, LaTex, 1 eps figure, Minor changes in the text
arxiv created 2001/06/20 · arxiv updated 2009/11/30
The recently reanalysed LSND data is investigated in the context of three flavor oscillations, with an emphasis on mass hierarchies and s13. The resultant mass hierarchies and oscillation angles are tested with regard to "key" features of solar neutrinos and atmospheric neutrinos, e.g., "average" survival probability in the case of solar neutrinos, and zenith angle dependence and up-down asymmetry in the case of high energy atmospheric neutrinos. We find there are three distinct mass hierarchies, e.g., Δm << ΔM, Δm < ΔM and Δm ≃ ΔM. In the first and second case, the calculated range of s13 is in agreement with the "LMA" solution of Akhmedov \it et al., the lower limit on s13 in these cases is also in agreement with the recent analysis of Garcia \it et al. based on the constraints of SNP, ANP and CHOOZ, therefore, strongly supporting the neutrino oscillations observed at LSND. Further, the solutions of s13 found in the third case correspond to the value of s13 found by Akhmedov \it et al. in the case of "SMA" and "LOW" solutions. A rough estimate of the possibility of the existence of CP violation in the leptonic sector is also carried out for different possible ranges of s13, indicating that the CP asymmetries may be measureable even in the case of LSND.