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We study the sensitivity of future medium baseline reactor antineutrinoexperiments on the neutrino mass hierarchy. By using the standard chi^2analysis, we find that the sensitivity depends strongly on the baseline lengthL and the energy resolution (delta E/E)^2 = (a/sqrt{E/MeV})^2 + b^2, where aand b parameterize the statistical and systematic uncertainties, respectively.The optimal length is found to be L ~ 40-55 km, where a slightly shorter L inthe range is preferred for poorer energy resolution. The running time needed todetermine the mass hierarchy also depends strongly on the energy resolution;for a 5 kton detector (with 12% weight fraction of free proton) placed at L ~50 km away from a 20 GW_{th} reactor, three-sigma determination needs 14 yearsof running with a = 3% and b = 0.5%, which can be reduced to 5 years if a = 2%and b = 0.5%. On the other hand, the experiment can measure the mixingparameters accurately, achieving delta sin^2(2theta_{12}) ~ 4*10^{-3}, delta(m_2^2-m_1^2) ~ 0.03*10^{-5} eV^2, and delta |m_3^2 -m_1^2| ~ 0.007*10^{-3}eV^2, in 5 years, almost independently of the energy resolution for a < 3% andb < 1%. In order to compare our simple (Delta chi^2)_{min} results with thoseobtained by simulating many experiments, we develop an efficient method toestimate the uncertainty of (Delta chi^2)_{min}, and the probability fordetermining the right mass hierarchy by an experiment is presented as afunction of the mean (Delta chi^2)_{min}.

Determination of mass hierarchy with medium baseline reactor neutrino experiments