The Hlma Project in the Light of the First Kamland Results Measurement of sin2 (2θ13) with a New Short Baseline Reactor Neutrino Experiment

The year 2002 was very fruitful for low energy neutrino physics. Prior to the results of SNO and KamLAND, a few solutions were perfectly allowed by the combination of all the results of solar and terrestrial neutrino experiments. In that context, the HLMA project was originally proposed to improve the KamLAND determination of the solar mixing parameters if Δ m_sol² >=slant 2 10^{ - 4} eV² . In this article we analyse the impact of this project in the light of the first KamLAND results. Altought not new, the possibility to constraint the mixing angle between the third mass field and the electron field with a short baseline reactor neutrino experiment is explored in this article. We show that an experiment with a near detector close to a nuclear reactor and a far detector at about 2 kilometers distance could provide a limit of sin² (2θ₁₃) < 0.02 (90%C.L.), competitive and complementary with the next generation of accelerator long baseline experiments. Nevertheless, the total systematic error uncertainty has to be reduced by a factor three with respect to the CHOOZ experiment to achieve this goal.