What is $\Delta m_{ee}^2$ ?

Abstract

The current short baseline reactor experiments, Daya Bay and RENO (Double Chooz) have measured (or are capable of measuring) an effective $\Delta m^2$ associated with the atmospheric oscillation scale of 0.5 km/MeV in electron anti-neutrino disappearance. In this paper, I compare and contrast the different definitions of such an effective $\Delta m^2$ and argue that the simple, L/E independent, definition given by $\Delta m_{ee}^2\equiv {\cos }^2{\theta }_{12}\Delta m_{31}^2+{\sin }^2{\theta }_{12}\Delta m_{32}^2$, i.e. "the ${\nu }_e$ weighted average of $\Delta m_{31}^2$ and $\Delta m_{32}^2$," is superior to all other definitions and is useful for both short baseline experiments mentioned above and for the future medium baseline experiments JUNO and RENO 50.

15 pages, 5 figures

References in corpus (2)

• Observation of electron-antineutrino disappearance at Daya Bay
• Determining Neutrino Mass Hierarchy by Precision Measurements in Electron and Muon Neutrino Disappearance Experiments

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