Abstract
We demonstrate that the currently running short baseline reactor experiments, especially Daya Bay, can put a significant upper bound on $\Delta m^2_{21}$. This novel approach to determining $\Delta m^2_{21}$ can be performed with the current data of both Daya Bay \& RENO and provides additional information on $\Delta m^2_{21}$ in a different $L/E$ range ($\sim$ 0.5 km/MeV) for an important consistency check on the 3 flavor massive neutrino paradigm. Upper limits by Daya Bay and RENO and a possible lower limit from Daya Bay, before the end of 2020, will be the only new information on this important quantity until the medium baseline reactor experiment, JUNO, gives a very precise measurement in the middle of the next decade. In this study $\theta_{12}$ value is fixed since its impact on the $\Delta m^2_{21}$ measurement is relatively small as discussed in the Appendix.
Highlights
The fact that neutrinos have mass and mix is well established by a large number of experiments
We demonstate that the currently running short baseline (∼1.5 km) reactor antineutrino experiments, Daya Bay [1] and RENO [2] both have enough data already collected (>2000 days) to constrain Δm221 to be less than 3 times the KamLAND central value (7.5 × 10−5 eV2)
We have argued that Daya Bay and RENO can add to the information of the solar mass squared difference, Δm221
Summary
The fact that neutrinos have mass and mix is well established by a large number of experiments. We demonstate that the currently running short baseline (∼1.5 km) reactor antineutrino experiments, Daya Bay [1] and RENO [2] both have enough data already collected (>2000 days) to constrain Δm221 to be less than 3 times the KamLAND central value (7.5 × 10−5 eV2). The best measurement of the solar mass squared difference, Δm221, is from the long baseline reactor antineutrino experiment, KamLAND, which has determined. T2K’s data point in the bievent plane, see Fig. 44 of [12], Nðνμ → νeÞ 1⁄4 37 and Nðνμ → νeÞ 1⁄4 4 being outside the allowed region (by about 1σ) could be caused by Δm221 being larger than KamLAND value, twice the KamLAND central value works well It is probably a statistical fluctuation but with only one precision measurement of Δm221, other possibilities are not completely excluded. Bay and RENO using 3000 live days of data with and without systematic uncertainties followed by a conclusion
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