LMA MSW solution of the solar neutrino problem and first KamLAND results

Abstract

The first KamLAND results are in a very good agreement with the predictions made on the basis of the solar neutrino data and the LMA realization of the MSW mechanism. We perform a combined analysis of the KamLAND (rate, spectrum) and the solar neutrino data with a free boron neutrino flux f_B. The best fit values of neutrino parameters are Delta m^2 = 7.3e-5 eV^2, tg^2 theta = 0.41 and f_B = 1.05 with the 1 sigma intervals: Delta m^2 = (6.2 - 8.4)e-5 eV^2, tg^2 theta = 0.33 - 0.54. We find the 3 sigma upper bounds: Delta m^2 < 2.8e-4 eV^2 and tg^2 theta < 0.84, and the lower bound Delta m^2 > 4e-5 eV^2. At 99% C.L. the KamLAND spectral result splits the LMA region into two parts with the preferred one at Delta m^2 < 1e-4 eV^2. The higher Delta m^2 region is accepted at about 2 sigma level. We show that effects of non-zero 13-mixing, sin^2 theta_{13} < 0.04, are small leading to a slight improvement of the fit in higher Delta m^2 region. In the best fit point we predict for SNO: CC/NC = 0.33 +0.05-0.03 and A_{DN}(SNO) = 2.8+-0.8 % (68% C.L.), and A_{DN}(SNO) < 9 % at the 3 sigma level. Further improvements in the determination of the parameters are discussed and implications of the solar neutrino and KamLAND results are considered.