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This publication provides a coherent treatment for the reactor neutrino fluxuncertainties suppression, specially focussed on the latest $\theta_{13}$measurement. The treatment starts with single detector in single reactor site,most relevant for all reactor experiments beyond $\theta_{13}$. We demonstratethere is no trivial error cancellation, thus the flux systematic error canremain dominant even after the adoption of multi-detector configurations.However, three mechanisms for flux error suppression have been identified andcalculated in the context of Double Chooz, Daya Bay and RENO sites. Ouranalysis computes the error {\it suppression fraction} using simplifiedscenarios to maximise relative comparison among experiments. We have validatedthe only mechanism exploited so far by experiments to improve the precision ofthe published $\theta_{13}$. The other two newly identified mechanisms couldlead to total error flux cancellation under specific conditions and areexpected to have major implications on the global $\theta_{13}$ knowledgetoday. First, Double Chooz, in its final configuration, is the only experimentbenefiting from a negligible reactor flux error due to a $\sim$90\% geometricalsuppression. Second, Daya Bay and RENO could benefit from their partialgeometrical cancellation, yielding a potential $\sim$50\% error suppression,thus significantly improving the global $\theta_{13}$ precision today. Andthird, we illustrate the rationale behind further error suppression upon theexploitation of the inter-reactor error correlations, so far neglected. So, ourpublication is a key step forward in the context of high precision neutrinoreactor experiments providing insight on the suppression of their intrinsicflux error uncertainty, thus affecting past and current experimental results,as well as the design of future experiments.

Reactor Neutrino Flux Uncertainty Suppression on Multiple Detector Experiments