$$\upbeta $$-Decay spectrum, response function and statistical model for neutrino mass measurements with the KATRIN experiment

Kleesiek, M.; Behrens, J.; Drexlin, G.; Eitel, K.; Erhard, M.; Formaggio, J. A.; Glück, F.; Groh, S.; Hötzel, M.; Mertens, S.; Poon, A. W. P.; Weinheimer, C.; Valerius, K.

doi:10.1140/epjc/s10052-019-6686-7

Title: $$$$\upbeta $$$$-Decay spectrum, response function and statistical model for neutrino mass measurements with the KATRIN experiment

Journal Article · Thu Mar 07 00:00:00 EST 2019 · European Physical Journal. C, Particles and Fields

DOI:https://doi.org/10.1140/epjc/s10052-019-6686-7· OSTI ID:1619340

Kleesiek, M.; Behrens, J.; Drexlin, G.; Eitel, K.; Erhard, M.; Formaggio, J. A.; Glück, F.; Groh, S.; Hötzel, M.; Mertens, S.; Poon, A. W. P.; Weinheimer, C.; Valerius, K.

The objective of the Karlsruhe Tritium Neutrino (KATRIN) experiment is to determine the effective electron neutrino mass m(ν_e) with an unprecedented sensitivity of 0.2 eV/c² (90%C.L.) by precision electron spectroscopy close to the endpoint of the β -decay of tritium. We present a consistent theoretical description of the β -electron energy spectrum in the endpoint region, an accurate model of the apparatus response function, and the statistical approaches suited to interpret and analyze tritium β -decay data observed with KATRIN with the envisaged precision. In addition to providing detailed analytical expressions for all formulae used in the presented model framework with the necessary detail of derivation, we discuss and quantify the impact of theoretical and experimental corrections on the measured m(ν_e). Finally, we outline the statistical methods for parameter inference and the construction of confidence intervals that are appropriate for a neutrino mass measurement with KATRIN. In this context, we briefly discuss the choice of the β -energy analysis interval and the distribution of measuring time within that range.

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Research Organization:: Lawrence Berkeley National Laboratory (LBNL), Berkeley, CA (United States)

Sponsoring Organization:: USDOE Office of Science (SC)

Grant/Contract Number:: AC02-05CH11231; SC0011091

OSTI ID:: 1619340

Alternate ID(s):: OSTI ID: 1650049

Journal Information:: European Physical Journal. C, Particles and Fields, Journal Name: European Physical Journal. C, Particles and Fields Vol. 79 Journal Issue: 3; ISSN 1434-6044

Publisher:: SpringerCopyright Statement

Country of Publication:: Germany

Language:: English

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Cited by: 29 works

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