Probing the sensitivity to leptonic δ CP in presence of invisible decay of ν 3 using atmospheric neutrinos

One of the main neutrino oscillation parameters whose value has not been determined very precisely is the leptonic δCP phase. Since neutrinos have a tiny but finite mass they can undergo decay both visibly and invisibly. The effect of invisible decay of the third mass eigen state ν3 on the sensitivity to δCP is analysed here using atmospheric neutrino and anti-neutrino events. Effects of detector resolutions and systematic uncertainties are studied to identify the optimum resolutions and efficiencies required by a detector to obtain a significant sensitivity even in presence of decay. ∗Electronic address: Lakshmi.Mohan@ncbj.gov.pl 1 ar X iv :2 00 6. 04 23 3v 1 [ he pph ] 7 J un 2 02 0