Inspection of the detection cross section dependence of the Gallium Anomaly

Abstract

We discuss in detail the dependence of the Gallium Anomaly on the detection cross section. We provide updated values of the size of the Gallium Anomaly and find that its significance is larger than about $5\sigma$ for all the detection cross section models. We discuss the dependence of the Gallium Anomaly on the assumed value of the half life of ${}^{71}\text{Ge}$, which determines the cross sections of the transitions from the ground state of ${}^{71}\text{Ga}$ to the ground state of ${}^{71}\text{Ge}$. We show that a value of the ${}^{71}\text{Ge}$ half life which is larger than the standard one can reduce or even solve the Gallium Anomaly. Considering the short-baseline neutrino oscillation interpretation of the Gallium Anomaly, we show that a value of the ${}^{71}\text{Ge}$ half life which is larger than the standard one can reduce the tension with the results of other experiments. Since the standard value of the ${}^{71}\text{Ge}$ half life was measured in 1985, we advocate the importance of new measurements with modern technique and apparatus for a better assessment of the Gallium Anomaly.

v3: 11 pages, 4 figures, 3 tables, references added, typo corrected

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• Sterile Neutrinos
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• Sterile Neutrino Shape-shifting Caused by Dark Matter
• Solar fusion III: New data and theory for hydrogen-burning stars
• Status of Direct Determination of Solar Neutrino Fluxes after Borexino
• New Measurements of ${}^{71}$Ge Decay: Impact on the Gallium Anomaly
• Solar Model Independent Constraints on the Sterile Neutrino Interpretation of the Gallium Anomaly
• Sterile sector impacting the correlations and degeneracies among mixing parameters at the Deep Underground Neutrino Experiment