The paper derives KATRIN signatures for a 5D right-handed neutrino and shows that a large part of the compactification scale, bulk mass, and Yukawa coupling parameter space lies within experimental sensitivity, with multiple or single kinks depending on the bulk mass relative to the compactification
$\beta$-Decay Spectrum, Response Function and Statistical Model for Neutrino Mass Measurements with the KATRIN Experiment
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abstract
The objective of the Karlsruhe Tritium Neutrino (KATRIN) experiment is to determine the effective electron neutrino mass $m(\nu_\text{e})$ with an unprecedented sensitivity of $0.2\,\text{eV}$ (90\% C.L.) by precision electron spectroscopy close to the endpoint of the $\beta$ decay of tritium. We present a consistent theoretical description of the $\beta$ 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 $\beta$ 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 $m(\nu_\text{e})$. 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 $\beta$ energy analysis interval and the distribution of measuring time within that range.
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UNVERDICTED 2representative citing papers
A detailed uncertainty propagation from molecular final-states calculation parameters reduces the FSD uncertainty contribution in KATRIN to 0.0013 eV²/c⁴.
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Searching for a Dark Dimension Right-handed Neutrino in KATRIN
The paper derives KATRIN signatures for a 5D right-handed neutrino and shows that a large part of the compactification scale, bulk mass, and Yukawa coupling parameter space lies within experimental sensitivity, with multiple or single kinks depending on the bulk mass relative to the compactification
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Improved treatment of the $T_2$ molecular final-states uncertainties for the KATRIN neutrino-mass measurement
A detailed uncertainty propagation from molecular final-states calculation parameters reduces the FSD uncertainty contribution in KATRIN to 0.0013 eV²/c⁴.