[2310.12634] Improved treatment of the $T_2$ molecular final-states uncertainties for the KATRIN neutrino-mass measurement Skip to main content Search Submit Donate Log in Search arXiv Press Enter to search · Advanced search Physics > Data Analysis, Statistics and Probability arXiv:2310.12634 (physics) [Submitted on 19 Oct 2023] Title: Improved treatment of the $T_2$ molecular final-states uncertainties for the KATRIN neutrino-mass measurement Authors: S. Schneidewind , J. Schürmann , A. Lokhov , C. Weinheimer , A. Saenz View a PDF of the paper titled Improved treatment of the $T_2$ molecular final-states uncertainties for the KATRIN neutrino-mass measurement, by S. Schneidewind and J. Sch\"urmann and A. Lokhov and C. Weinheimer and A. Saenz View PDF HTML (experimental) Abstract: The KArlsruhe TRItium Neutrino experiment (KATRIN) aims to determine the effective mass of the electron antineutrino via a high-precision measurement of the tritium beta-decay spectrum in its end-point region. The target neutrino-mass sensitivity of 0.2 eV / c^2 at 90% C.L. can only be achieved in the case of high statistics and a good control of the systematic uncertainties. One key systematic effect originates from the calculation of the molecular final states of T_2 beta decay. In the first neutrino-mass analyses of KATRIN the contribution of the uncertainty of the molecular final-states distribution (FSD) was estimated via a conservative phenomenological approach to be 0.02 eV^2 / c^4. In this paper a new procedure is presented for estimating the FSD-related uncertainties by considering the details of the final-states calculation, i.e. the uncertainties of constants, parameters, and functions used in the calculation as well as its convergence itself as a function of the basis-set size used in expanding the molecular wave functions. The calculated uncertainties are directly propagated into the experimental observable, the squared neutrino mass m_nu^2. With the new procedure the FSD-related uncertainty is constrained to 0.0013 eV^2 / c^4, for the experimental conditions of the first KATRIN measurement campaign. Subjects: Data Analysis, Statistics and Probability (physics.data-an) ; Quantum Physics (quant-ph) Cite as: arXiv:2310.12634 [physics.data-an] (or arXiv:2310.12634v1 [physics.data-an] for this version) https://doi.org/10.48550/arXiv.2310.12634 Focus to learn more arXiv-issued DOI via DataCite Submission history From: Alejandro Saenz [ view email ] [v1] Thu, 19 Oct 2023 10:44:49 UTC (801 KB) Full-text links: Access Paper: View a PDF of the paper titled Improved treatment of the $T_2$ molecular final-states uncertainties for the KATRIN neutrino-mass measurement, by S. Schneidewind and J. Sch\"urmann and A. Lokhov and C. Weinheimer and A. Saenz View PDF HTML (experimental) TeX Source view license Current browse context: physics.data-an < prev | next > new | recent | 2023-10 Change to browse by: physics quant-ph References & Citations INSPIRE HEP NASA ADS Google Scholar Semantic Scholar export BibTeX citation Loading... BibTeX formatted citation × loading... 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