In this paper we study the possibility of determining the neutrino mass
ordering from the future supernova neutrino events at the DUNE and T2HK
detectors. We estimate the expected number of neutrino event rates from a
future supernova explosion assuming GKVM flux model corresponding to different
processes that are responsible for detecting the supernova neutrinos at these
detectors. We present our results in the form of χ2, as a function of
supernova distance. For a systematic uncertainty of 5\%, our results show that,
the neutrino mass ordering can be determined at 5 σ C.L. if the
supernova explosion occurs at a distance of 44 kpc for T2HK and at a distance
of 6.5 kpc for DUNE. Our results also show that the sensitivity of T2HK gets
affected by the systematic uncertainties for the smaller supernova distances.
Further, we show that in both DUNE and T2HK, the sensitivity gets deteriorated
to some extent due to presence of energy smearing of the neutrino events. This
occurs because of the reconstruction of the neutrino energy from the
energy-momentum measurement of the outgoing leptons at the detector.Comment: 19 pages, 7 figure