Search for Lorentz-Invariance Violation with the first KATRIN data
M. Aker, D. Batzler, A. Beglarian, J. Behrens, A. Berlev, U. Besserer,, B. Bieringer, F. Block, S. Bobien, B. Bornschein, L. Bornschein, M., B\"ottcher, T. Brunst, T. S. Caldwell, R. M. D. Carney, S. Chilingaryan, W., Choi, K. Debowski, M. Deffert, M. Descher, D. D\'iaz Barrero

TL;DR
This paper uses initial KATRIN data to set new limits on Lorentz-invariance violation parameters in the neutrino sector, providing constraints where previous experiments could not.
Contribution
First experimental constraints on specific Lorentz-violation parameters using beta decay spectral data from KATRIN.
Findings
Set the first limit on |(a_{of}^{(3)})_{11}| < 3.7×10^{-6} GeV
Derived new constraints on (a_{of}^{(3)})_{00} and (a_{of}^{(3)})_{10}
Demonstrated KATRIN's capability to probe Lorentz-invariance violations
Abstract
Some extensions of the Standard Model of Particle Physics allow for Lorentz invariance and Charge-Parity-Time (CPT)-invariance violations. In the neutrino sector strong constraints have been set by neutrino-oscillation and time-of-flight experiments. However, some Lorentz-invariance-violating parameters are not accessible via these probes. In this work, we focus on the parameters , and which would manifest themselves in a non-isotropic beta-decaying source as a sidereal oscillation and an overall shift of the spectral endpoint. Based on the data of the first scientific run of the KATRIN experiment, we set the first limit on of GeV at 90\% confidence level. Moreover, we derive new constraints on and…
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