Search for Lorentz-Invariance Violation with the first KATRIN data

• Published in: arXiv.org 2022-07
• Main Authors: Batzler, D, Behrens, J, Berlev, A, Besserer, U, Block, F, Bobien, S, Bornschein, B, Bornschein, L, Böttcher, M, Caldwell, T S, Carney, R M D, Debowski, K, Deffert, M, Descher, M, D Díaz Barrero, Doe, P J, Dragoun, O, Drexlin, G, Edzards, F, Eitel, K, Ellinger, E, Enomoto, S, Felden, A, maggio, J A, Fränkle, F M, Franklin, G B, Fulst, A, Gavin, A S, Gil, W, Glück, F, Grössle, R, Hannen, V, Haußmann, N, Helbing, K, Hinz, D, Höhn, T, Houdy, T, Jansen, A, Karl, C, Kellerer, J, Kleifges, M, Kopmann, A, Korzeczek, M, Kovalík, A, Krasch, B, Krause, H, La Cascio, L, Lasserre, T, Lebeda, O, Lehnert, B, Lokhov, A, Machatschek, M, Malcherek, E, Marsteller, A, Melzer, C, Mertens, S, Mostafa, J, Müller, K, Neumann, H, Niemes, S, Oelpmann, P, Parno, D S, Poon, A W P, Priester, F, Ráliš, J, Ramachandran, S, Robertson, R G H, Rodejohann, W, Rodenbeck, C, Röllig, M, Röttele, C, Ryšavý, M, Sack, R, Saenz, A, Salomon, R, Schimpf, L, Schlösser, K, Schlüter, L, Schneidewind, S, Schwemmer, A, Sibille, V, Siegmann, D, Slezák, M, Spanier, F, Steidl, M, Sturm, M, Titov, N, Tkachev, I, Urban, K, Vénos, D, Vizcaya Hernández, A P, Weinheimer, C, Welte, S, Wendel, J, Wickles, J, Wiesinger, C, Wilkerson, J F, Wüstling, S, W Xu, Zadoroghny, S
• Format: Article
• Language: English
• Subjects: Confidence intervals; Invariance; Neutrinos; Parameters; Particle physics; Standard model (particle physics)
• ISSN: 2331-8422
• DOI: 10.48550/arxiv.2207.06326

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 \((a_{\text{of}}^{(3)})_{00}\), \((a_{\text{of}}^{(3)})_{10}\) and \((a_{\text{of}}^{(3)})_{11}\) 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 \(\left|(a_{\text{of}}^{(3)})_{11}\right|\) of \(< 3.7\cdot10^{-6}\) GeV at 90\% confidence level. Moreover, we derive new constraints on \((a_{\text{of}}^{(3)})_{00}\) and \((a_{\text{of}}^{(3)})_{10}\).