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- W1521537582 abstract "We present a showcase for deriving bounds on the neutrino masses from laboratory experiments and cosmological observations. We compare the frequentist and Bayesian bounds on the effective electron neutrino mass ${m}_{ensuremath{beta}}$ which the KATRIN neutrino mass experiment is expected to obtain, using both an analytical likelihood function and Monte Carlo simulations of KATRIN. Assuming a uniform prior in ${m}_{ensuremath{beta}}$, we find that a null result yields an upper bound of about 0.17 eV at 90% confidence in the Bayesian analysis, to be compared with the frequentist KATRIN reference value of 0.20 eV. This is a significant difference when judged relative to the systematic and statistical uncertainties of the experiment. On the other hand, an input ${m}_{ensuremath{beta}}=0.35text{ }text{ }mathrm{eV}$, which is the KATRIN $5ensuremath{sigma}$ detection threshold, would be detected at virtually the same level. Finally, we combine the simulated KATRIN results with cosmological data in the form of present (post-WMAP) and future (simulated Planck) observations. If an input of ${m}_{ensuremath{beta}}=0.2text{ }text{ }mathrm{eV}$ is assumed in our simulations, KATRIN alone excludes a zero neutrino mass at $2.2ensuremath{sigma}$. Adding Planck data increases the probability of detection to a median $2.7ensuremath{sigma}$. The analysis highlights the importance of combining cosmological and laboratory data on an equal footing." @default.
- W1521537582 created "2016-06-24" @default.
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- W1521537582 date "2007-12-27" @default.
- W1521537582 modified "2023-10-17" @default.
- W1521537582 title "Forecasting neutrino masses from combining KATRIN and the CMB observations: Frequentist and Bayesian analyses" @default.
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- W1521537582 doi "https://doi.org/10.1103/physrevd.76.113005" @default.
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