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Nuclear reactors provide intense sources of electron antineutrinos,characterized by few-MeV energy E and unoscillated spectral shape Phi(E).High-statistics observations of reactor neutrino oscillations overmedium-baseline distances L ~ O(50) km would provide unprecedentedopportunities to probe both the long-wavelength mass-mixing parameters (deltam^2 and theta_12) and the short-wavelength ones (Delta m^2 and theta_13),together with the subtle interference effects associated with the neutrino masshierarchy (either normal or inverted). In a given experimental setting - heretaken as in the JUNO project for definiteness - the achievable hierarchysensitivity and parameter accuracy depend not only on the accumulatedstatistics but also on systematic uncertainties, which include (but are notlimited to) the mass-mixing priors and the normalizations of signals andbackgrounds. We examine, in addition, the effect of introducing smoothdeformations of the detector energy scale, E -> E'(E), and of the reactor fluxshape, Phi(E) -> Phi'(E), within reasonable error bands inspired bystate-of-the-art estimates. It turns out that energy-scale and flux-shapesystematics can noticeably affect the performance of a JUNO-like experiment,both on the hierarchy discrimination and on precision oscillation physics. Itis shown that a significant reduction of the assumed energy-scale andflux-shape uncertainties (by, say, a factor of 2) would be highly beneficial tothe physics program of medium-baseline reactor projects. Our results also shedsome light on the role of the inverse-beta decay threshold, of geoneutrinobackgrounds, and of matter effects in the analysis of future reactoroscillation data.

Neutrino mass hierarchy and precision physics with medium-baseline reactors: Impact of energy-scale and flux-shape uncertainties