Forecasting neutrino masses from combining KATRIN and the CMB: Frequentist and Bayesian analyses

Details Forecasting neutrino masses from combining KATRIN and the CMB: Frequentist and Bayesian analyses Forecasting neutrino masses from combining KATRIN and the CMB: Frequentist and Bayesian analyses

2007-09-10

arxiv.org/abs/0709.1317v1

Phys.Rev.D76:113005,2007

Physics

High Energy Physics

High Energy Physics - Phenomenology

8 pages, 7 figures, uses Revtex. Submitted to PRD

Scientific paper

10.1103/PhysRevD.76.113005

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_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_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_beta=0.35 eV, which is the KATRIN 5sigma 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_beta=0.2 eV is assumed in our simulations, KATRIN alone excludes a zero neutrino mass at 2.2sigma. Adding Planck data increases the probability of detection to a median 2.7sigma. The analysis highlights the importance of combining cosmological and laboratory data on an equal footing.

Affiliated with

Also associated with

No associations

Rating

Forecasting neutrino masses from combining KATRIN and the CMB: Frequentist and Bayesian analyses does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Forecasting neutrino masses from combining KATRIN and the CMB: Frequentist and Bayesian analyses, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Forecasting neutrino masses from combining KATRIN and the CMB: Frequentist and Bayesian analyses will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-655795