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arXiv · 2207.06326

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. Böttcher·T. Brunst·T. S. Caldwell·R. M. D. Carney·S. Chilingaryan·W. Choi·K. Debowski·M. Deffert·M. Descher·D. Díaz Barrero·P. J. Doe·O. Dragoun·G. Drexlin·F. Edzards·K. Eitel·E. Ellinger·R. Engel·S. Enomoto·A. Felden·J. A. Formaggio·F. M. Fränkle·G. B. Franklin·F. Friedel·A. Fulst·K. Gauda·A. S. Gavin·W. Gil·F. Glück·R. Grössle·R. Gumbsheimer·V. Hannen·N. Haußmann·K. Helbing·S. Hickford·R. Hiller·D. Hillesheimer·D. Hinz·T. Höhn·T. Houdy·A. Huber·A. Jansen·C. Karl·J. Kellerer·M. Kleifges·M. Klein·C. Köhler·L. Köllenberger·A. Kopmann·M. Korzeczek·A. Kovalík·B. Krasch·H. Krause·L. La Cascio·T. Lasserre·T. L. Le·O. Lebeda·B. Lehnert·A. Lokhov·M. Machatschek·E. Malcherek·M. Mark·A. Marsteller·E. L. Martin·C. Melzer·S. Mertens·J. Mostafa·K. Müller·H. Neumann·S. Niemes·P. Oelpmann·D. S. Parno·A. W. P. Poon·J. M. L. Poyato·F. Priester·J. Ráliš·S. Ramachandran·R. G. H. Robertson·W. Rodejohann·C. Rodenbeck·M. Röllig·C. Röttele·M. Ryšavý·R. Sack·A. Saenz·R. Salomon·P. Schäfer·L. Schimpf·M. Schlösser·K. Schlösser
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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 $(a_{\text{of}}^{(3)})_{00}$, $(a_{\text{of}}^{(3)})_{10}$ 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 $(a_{\text{of}}^{(3)})_{10}$.

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M. Aker, D. Batzler, A. Beglarian, J. Behrens, A. Berlev, U. Besserer, B. Bieringer, F. Block, S. Bobien, B. Bornschein, L. Bornschein, M. Böttcher, T. Brunst, T. S. Caldwell, R. M. D. Carney, S. Chilingaryan, W. Choi, K. Debowski, M. Deffert, M. Descher, D. Díaz Barrero, P. J. Doe, O. Dragoun, G. Drexlin, F. Edzards, K. Eitel, E. Ellinger, R. Engel, S. Enomoto, A. Felden, J. A. Formaggio, F. M. Fränkle, G. B. Franklin, F. Friedel, A. Fulst, K. Gauda, A. S. Gavin, W. Gil, F. Glück, R. Grössle, R. Gumbsheimer, V. Hannen, N. Haußmann, K. Helbing, S. Hickford, R. Hiller, D. Hillesheimer, D. Hinz, T. Höhn, T. Houdy, A. Huber, A. Jansen, C. Karl, J. Kellerer, M. Kleifges, M. Klein, C. Köhler, L. Köllenberger, A. Kopmann, M. Korzeczek, A. Kovalík, B. Krasch, H. Krause, L. La Cascio, T. Lasserre, T. L. Le, O. Lebeda, B. Lehnert, A. Lokhov, M. Machatschek, E. Malcherek, M. Mark, A. Marsteller, E. L. Martin, C. Melzer, S. Mertens, J. Mostafa, K. Müller, H. Neumann, S. Niemes, P. Oelpmann, D. S. Parno, A. W. P. Poon, J. M. L. Poyato, F. Priester, J. Ráliš, S. Ramachandran, R. G. H. Robertson, W. Rodejohann, C. Rodenbeck, M. Röllig, C. Röttele, M. Ryšavý, R. Sack, A. Saenz, R. Salomon, P. Schäfer, L. Schimpf, M. Schlösser, K. Schlösser. 2022-07-13. Search for Lorentz-Invariance Violation with the first KATRIN data. https://doi.org/10.1103/physrevd.107.082005

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