$$\upbeta $$ β -Decay spectrum, response function and statistical model for neutrino mass measurements with the KATRIN experiment
Abstract The objective of the Karlsruhe Tritium Neutrino (KATRIN) experiment is to determine the effective electron neutrino mass $$m(\upnu _\text {e})$$ m(νe) with an unprecedented sensitivity of $$0.2 \hbox {eV}/\hbox {c}^2$$ 0.2eV/c2 ($$90 \%\,\hbox {C.L.}$$ 90%C.L. ) by precision electron spectr...
| Main Authors: | , , , , , , , , , , , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-03-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | http://link.springer.com/article/10.1140/epjc/s10052-019-6686-7 |
| _version_ | 1819014089724133376 |
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| author | M. Kleesiek J. Behrens G. Drexlin K. Eitel M. Erhard J. A. Formaggio F. Glück S. Groh M. Hötzel S. Mertens A. W. P. Poon C. Weinheimer K. Valerius |
| author_facet | M. Kleesiek J. Behrens G. Drexlin K. Eitel M. Erhard J. A. Formaggio F. Glück S. Groh M. Hötzel S. Mertens A. W. P. Poon C. Weinheimer K. Valerius |
| author_sort | M. Kleesiek |
| collection | DOAJ |
| description | Abstract The objective of the Karlsruhe Tritium Neutrino (KATRIN) experiment is to determine the effective electron neutrino mass $$m(\upnu _\text {e})$$ m(νe) with an unprecedented sensitivity of $$0.2 \hbox {eV}/\hbox {c}^2$$ 0.2eV/c2 ($$90 \%\,\hbox {C.L.}$$ 90%C.L. ) by precision electron spectroscopy close to the endpoint of the $$\upbeta $$ β -decay of tritium. We present a consistent theoretical description of the $$\upbeta $$ 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 $$\upbeta $$ 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 $$m(\upnu _\text {e})$$ m(νe) . 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 $$\upbeta $$ β -energy analysis interval and the distribution of measuring time within that range. |
| first_indexed | 2024-12-21T02:10:18Z |
| format | Article |
| id | doaj.art-f5dcb26e8bb942d78491bda6d8170f36 |
| institution | Directory Open Access Journal |
| issn | 1434-6044 1434-6052 |
| language | English |
| last_indexed | 2024-12-21T02:10:18Z |
| publishDate | 2019-03-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj.art-f5dcb26e8bb942d78491bda6d8170f362022-12-21T19:19:23ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60441434-60522019-03-0179312410.1140/epjc/s10052-019-6686-7$$\upbeta $$ β -Decay spectrum, response function and statistical model for neutrino mass measurements with the KATRIN experimentM. Kleesiek0J. Behrens1G. Drexlin2K. Eitel3M. Erhard4J. A. Formaggio5F. Glück6S. Groh7M. Hötzel8S. Mertens9A. W. P. Poon10C. Weinheimer11K. Valerius12Institute of Experimental Particle Physics (ETP), Karlsruhe Institute of TechnologyInstitute for Nuclear Physics (IKP), Karlsruhe Institute of TechnologyInstitute of Experimental Particle Physics (ETP), Karlsruhe Institute of TechnologyInstitute for Nuclear Physics (IKP), Karlsruhe Institute of TechnologyInstitute of Experimental Particle Physics (ETP), Karlsruhe Institute of TechnologyLaboratory for Nuclear Science and Department of Physics, Massachusetts Institute of TechnologyInstitute for Nuclear Physics (IKP), Karlsruhe Institute of TechnologyInstitute of Experimental Particle Physics (ETP), Karlsruhe Institute of TechnologyInstitute of Experimental Particle Physics (ETP), Karlsruhe Institute of TechnologyMax-Planck-Institut für PhysikNuclear Science Division, Lawrence Berkeley National LaboratoryInstitut für Kernphysik, Westfälische Wilhelms-Universität MünsterInstitute for Nuclear Physics (IKP), Karlsruhe Institute of TechnologyAbstract The objective of the Karlsruhe Tritium Neutrino (KATRIN) experiment is to determine the effective electron neutrino mass $$m(\upnu _\text {e})$$ m(νe) with an unprecedented sensitivity of $$0.2 \hbox {eV}/\hbox {c}^2$$ 0.2eV/c2 ($$90 \%\,\hbox {C.L.}$$ 90%C.L. ) by precision electron spectroscopy close to the endpoint of the $$\upbeta $$ β -decay of tritium. We present a consistent theoretical description of the $$\upbeta $$ 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 $$\upbeta $$ 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 $$m(\upnu _\text {e})$$ m(νe) . 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 $$\upbeta $$ β -energy analysis interval and the distribution of measuring time within that range.http://link.springer.com/article/10.1140/epjc/s10052-019-6686-7 |
| spellingShingle | M. Kleesiek J. Behrens G. Drexlin K. Eitel M. Erhard J. A. Formaggio F. Glück S. Groh M. Hötzel S. Mertens A. W. P. Poon C. Weinheimer K. Valerius $$\upbeta $$ β -Decay spectrum, response function and statistical model for neutrino mass measurements with the KATRIN experiment European Physical Journal C: Particles and Fields |
| title | $$\upbeta $$ β -Decay spectrum, response function and statistical model for neutrino mass measurements with the KATRIN experiment |
| title_full | $$\upbeta $$ β -Decay spectrum, response function and statistical model for neutrino mass measurements with the KATRIN experiment |
| title_fullStr | $$\upbeta $$ β -Decay spectrum, response function and statistical model for neutrino mass measurements with the KATRIN experiment |
| title_full_unstemmed | $$\upbeta $$ β -Decay spectrum, response function and statistical model for neutrino mass measurements with the KATRIN experiment |
| title_short | $$\upbeta $$ β -Decay spectrum, response function and statistical model for neutrino mass measurements with the KATRIN experiment |
| title_sort | upbeta β decay spectrum response function and statistical model for neutrino mass measurements with the katrin experiment |
| url | http://link.springer.com/article/10.1140/epjc/s10052-019-6686-7 |
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