Physics – High Energy Physics – High Energy Physics - Phenomenology
Scientific paper
2009-05-14
Mod. Phys. Lett. A25:2255-2266,2010
Physics
High Energy Physics
High Energy Physics - Phenomenology
12 pages, 3 figures. Focus of the paper changed to atmospheric neutrinos, but main result unchanged. Title changed to reflect
Scientific paper
We examine the possibility of determining the neutrino mass hierarchy in the limit \theta_{13} = 0 using atmospheric neutrinos as the source. In this limit, in which \theta_{13} driven matter effects are absent, independent measurements of \Delta_{31} and \Delta_{32} can, in principle, lead to hierarchy determination. Since the difference between these two is \Delta_{21}, one needs an experimental arrangement where \Delta_{21} L/E \gtrsim 1 can be achieved. This condition can be satisfied by atmospheric neutrinos since they have a large range of energies and baselines. In spite of this, we find that hierarchy determination in the \theta_{13}=0 limit with atmospheric neutrinos is not a realistic possibility, even in conjunction with an apparently synergistic beam experiment like T2K or NOvA. We discuss the reasons for this, and also in the process clarify the conditions that must be satisfied in general for hierarchy determination if \theta_{13} = 0.
Gandhi Raj
Ghoshal Pomita
Goswami Srubabati
Sankar Uma S.
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