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Neutrino interferometry for high-precision tests of Lorentz symmetry with IceCube

Abstract

Lorentz symmetry is a fundamental spacetime symmetry underlying both the standard model of particle physics and general relativity. This symmetry guarantees that physical phenomena are observed to be the same by all inertial observers. However, unified theories, such as string theory, allow for violation of this symmetry by inducing new spacetime structure at the quantum gravity scale. Thus, the discovery of Lorentz symmetry violation could be the first hint of these theories in nature. Here we report the results of the most precise test of spacetime symmetry in the neutrino sector to date. We use high-energy atmospheric neutrinos observed at the IceCube Neutrino Observatory to search for anomalous neutrino oscillations as signals of Lorentz violation. We find no evidence for such phenomena. This allows us to constrain the size of the dimension-four operator in the standard-model extension for Lorentz violation to the \(10^{-28}\) level and to set limits on higher-dimensional operators in this framework. These are among the most stringent limits on Lorentz violation set by any physical experiment.

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Fig. 1: Test of LV with atmospheric neutrinos.
Fig. 2: The ratio of vertical to horizontal neutrino transition probabilities at IceCube.
Fig. 3: The excluded parameter space region for the dimension-six SME coefficients.

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References

  1. Kostelecký, V. A. & Samuel, S. Spontaneous breaking of Lorentz symmetry in string theory. Phys. Rev. D 39, 683–685 (1989).

    Article  ADS  Google Scholar 

  2. Carroll, S. M., Harvey, J. A., Kostelecký, V. A., Lane, C. D. & Okamoto, T. Noncommutative Field Theory and Lorentz Violation. Phys. Rev. Lett. 87, 141601 (2001).

    Article  ADS  MathSciNet  Google Scholar 

  3. Groot Nibbelink, S. & Pospelov, M. Lorentz violation in supersymmetric field theories. Phys. Rev. Lett. 94, 081601 (2005).

    Article  ADS  MathSciNet  Google Scholar 

  4. Kostelecký, A. & Mewes, M. Neutrinos with Lorentz-violating operators of arbitrary dimension. Phys. Rev. D 85, 096005 (2012).

    Article  ADS  Google Scholar 

  5. Komatsu, E. et al. Five-year Wilkinson microwave anisotropy probe (WMAP) observations: cosmological interpretation. Astrophys. J. Suppl. 180, 330–376 (2009).

    Article  ADS  Google Scholar 

  6. Kostelecký, V. A. & Mewes, M. Constraints on relativity violations from gamma-ray bursts. Phys. Rev. Lett. 110, 201601 (2013).

    Article  ADS  Google Scholar 

  7. Kostelecký, V. A., Melissinos, A. C. & Mewes, M. Searching for photon-sector Lorentz violation using gravitational-wave detectors. Phys. Lett. B 761, 1–7 (2016).

    Article  ADS  Google Scholar 

  8. Nagel, M. et al. Direct terrestrial test of Lorentz symmetry in electrodynamics to 10−18. Nat. Commun. 6, 8174 (2015).

    Article  ADS  Google Scholar 

  9. Maccione, L., Taylor, A. M., Mattingly, D. M. & Liberati, S. Planck-scale Lorentz violation constrained by ultra-high-energy cosmic rays. J. Cosmol. Astropart. Phys. 0904, 022 (2009).

    Article  ADS  MATH  Google Scholar 

  10. Allmendinger, F. et al. New limit on Lorentz-invariance- and CPT-violating neutron spin interactions using a free-spin-precession 3He-129Xe comagnetometer. Phys. Rev. Lett. 112, 110801 (2014).

    Article  ADS  Google Scholar 

  11. Smiciklas, M., Brown, J. M., Cheuk, L. W. & Romalis, M. V. A new test of local Lorentz invariance using 21Ne-Rb-K comagnetometer. Phys. Rev. Lett. 107, 171604 (2011).

    Article  ADS  Google Scholar 

  12. Heckel, B. R. et al. New CP-violation and preferred-frame tests with polarized electrons. Phys. Rev. Lett. 97, 021603 (2006).

    Article  ADS  Google Scholar 

  13. Bennett, G. W. et al. Search for Lorentz and CPT violation effects in muon spin precession. Phys. Rev. Lett. 100, 091602 (2008).

    Article  ADS  Google Scholar 

  14. Pruttivarasin, T. et al. A Michelson–Morley test of Lorentz symmetry for electrons. Nature 517, 592–595 (2015).

    Article  ADS  Google Scholar 

  15. Kostelecký, V. A. & Tasson, J. D. Constraints on Lorentz violation from gravitational Čerenkov radiation. Phys. Lett. B 749, 551–559 (2015).

    Article  ADS  Google Scholar 

  16. Abbasi, R. et al. Determination of the atmospheric neutrino flux and searches for new physics with AMANDA-II. Phys. Rev. D 79, 102005 (2009).

    Article  ADS  Google Scholar 

  17. Abbasi, R. et al. Search for a Lorentz-violating sidereal signal with atmospheric neutrinos in IceCube. Phys. Rev. D 82, 112003 (2010).

    Article  ADS  Google Scholar 

  18. Abe, K. et al. Test of Lorentz invariance with atmospheric neutrinos. Phys. Rev. D 91, 052003 (2015).

    Article  ADS  Google Scholar 

  19. Kostelecký, V. A. & Russell, N. Data tables for Lorentz and CPT violation. Rev. Mod. Phys. 83, 11–31 (2011).

    Article  ADS  Google Scholar 

  20. Liberati, S. Tests of Lorentz invariance: a 2013 update. Class. Quant. Grav. 30, 133001 (2013).

    Article  ADS  MathSciNet  MATH  Google Scholar 

  21. Fukuda, Y. et al. Evidence for oscillation of atmospheric neutrinos. Phys. Rev. Lett. 81, 1562–1567 (1998).

    Article  ADS  Google Scholar 

  22. Ahmad, Q. R. et al. Measurement of the rate of ν e + dp + p + e− interactions produced by 8 B solar neutrinos at the Sudbury Neutrino Observatory. Phys. Rev. Lett. 87, 071301 (2001).

  23. Ahn, M. H. et al. Indications of neutrino oscillation in a 250 km long baseline experiment. Phys. Rev. Lett. 90, 041801 (2003).

    Article  ADS  Google Scholar 

  24. Eguchi, K. et al. First results from KamLAND: Evidence for reactor anti-neutrino disappearance. Phys. Rev. Lett. 90, 021802 (2003).

    Article  ADS  Google Scholar 

  25. Abe, K. et al. Indication of electron neutrino appearance from an accelerator-produced off-axis muon neutrino beam. Phys. Rev. Lett. 107, 041801 (2011).

    Article  ADS  Google Scholar 

  26. An, F. P. et al. Observation of electron-antineutrino disappearance at Daya Bay. Phys. Rev. Lett. 108, 171803 (2012).

    Article  ADS  Google Scholar 

  27. Esteban, I., Gonzalez-Garcia, M. C., Maltoni, M., Martinez-Soler, I. & Schwetz, T. Updated fit to three neutrino mixing: exploring the accelerator-reactor complementarity. J. High Energy Phys. 1701, 087 (2017).

    Article  ADS  Google Scholar 

  28. Aartsen, M. G. et al. Evidence for astrophysical muon neutrinos from the northern sky with IceCube. Phys. Rev. Lett. 115, 081102 (2015).

    Article  ADS  Google Scholar 

  29. Gonzalez-Garcia, M. C., Halzen, F. & Maltoni, M. Physics reach of high-energy and high-statistics IceCube atmospheric neutrino data. Phys. Rev. D 71, 093010 (2005).

    Article  ADS  Google Scholar 

  30. Abbasi, R. et al. The IceCube data acquisition system: signal capture, digitization, and timestamping. Nucl. Instrum. Meth. A 601, 294–316 (2009).

    Article  ADS  Google Scholar 

  31. Aartsen, M. G. et al. The IceCube Neutrino Observatory: instrumentation and online systems. J. Instrum. 12, P03012 (2017).

    Article  Google Scholar 

  32. Weaver, C. N. Evidence for Astrophysical Muon Neutrinos from the Northern Sky. PhD thesis, Univ. Wisconsin–Madison (2015).

  33. Fedynitch, A., Engel, R., Gaisser, T. K., Riehn, F. & Stanev, T. Calculation of conventional and prompt lepton fluxes at very high energy. Eur. Phys. J. Web Conf. 99, 08001 (2015).

    Article  Google Scholar 

  34. Jones, B. J. P. Sterile Neutrinos in Cold Climates. PhD thesis, MIT (2015).

  35. Argüelles Delgado, C. A. New Physics with Atmospheric Neutrinos. PhD thesis, Univ. Wisconsin–Madison (2015).

  36. Cooper-Sarkar, A. & Sarkar, S. Predictions for high energy neutrino cross-sections from the ZEUS global PDF fits. J. High Energy Phys. 0801, 075 (2008).

    Article  ADS  Google Scholar 

  37. Aartsen, M. G. et al. Searches for sterile neutrinos with the IceCube detector. Phys. Rev. Lett. 117, 071801 (2016).

    Article  ADS  Google Scholar 

  38. Foreman-Mackey, D., Hogg, D. W., Lang, D. & Goodman, J. emcee: the MCMC hammer. Publ. Astron. Soc. Pac. 125, 306–312 (2013).

    Article  ADS  Google Scholar 

  39. Aartsen, M. G. et al. Determining neutrino oscillation parameters from atmospheric muon neutrino disappearance with three years of IceCube DeepCore data. Phys. Rev. D 91, 072004 (2015).

    Article  ADS  Google Scholar 

  40. Harris, R. A. & Stodolsky, L. Two state systems in media and “Turing’s paradox”. Phys. Lett. B 116, 464–468 (1982).

    Article  ADS  Google Scholar 

  41. Abraham, J. et al. Observation of the suppression of the flux of cosmic rays above 4 x 1019eV. Phys. Rev. Lett. 101, 061101 (2008).

    Article  ADS  Google Scholar 

  42. Aab, A. et al. Evidence for a mixed mass composition at the ‘ankle’ in the cosmic-ray spectrum. Phys. Lett. B 762, 288–295 (2016).

    Article  ADS  Google Scholar 

  43. Chalmers, M. Interview: Steven Weinberg. CERN Courier 57, 31–35 (2017).

    Google Scholar 

  44. Aartsen, M. G. et al. Evidence for high-energy extraterrestrial neutrinos at the IceCube detector. Science 342, 1242856 (2013).

    Article  Google Scholar 

  45. Stecker, F. W., Scully, S. T., Liberati, S. & Mattingly, D. Searching for traces of Planck-scale physics with high energy neutrinos. Phys. Rev. D 91, 045009 (2015).

    Article  ADS  Google Scholar 

  46. Argüelles, C. A., Katori, T. & Salvado, J. New physics in astrophysical neutrino flavor. Phys. Rev. Lett. 115, 161303 (2015).

    Article  ADS  Google Scholar 

  47. Aartsen, M. G. et al. Measurement of South Pole ice transparency with the IceCube LED calibration system. Nucl. Instrum. Meth. A 711, 73–89 (2013).

    Article  ADS  Google Scholar 

  48. Aartsen, M. G. et al. Measurement of the atmospheric ν e spectrum with IceCube. Phys. Rev. D 91, 122004 (2015).

    Article  ADS  Google Scholar 

  49. Adrian-Martinez, S. et al. Letter of intent for KM3NeT 2.0. J. Phys. G 43, 084001 (2016).

    Article  ADS  Google Scholar 

  50. Aartsen, M. G. et al. IceCube-Gen2: a vision for the future of neutrino astronomy in Antarctica. Preprint at https://arxiv.org/abs/1412.5106 (2014).

  51. Altmann, M. et al. GNO solar neutrino observations: Results for GNO I. Phys. Lett. B 490, 16–26 (2000).

    Article  ADS  Google Scholar 

  52. Abdurashitov, J. N. et al. Solar neutrino flux measurements by the Soviet–American Gallium Experiment(SAGE) for half the 22 year solar cycle. J. Exp. Theor. Phys. 95, 181 (2002).

    Article  ADS  Google Scholar 

  53. Hosaka, J. et al. Solar neutrino measurements in super-Kamiokande-I. Phys. Rev. D. 73, 112001 (2006).

    Article  ADS  Google Scholar 

  54. Aharmim, B. et al. Electron energy spectra, fluxes, and day–night asymmetries of B-8 solar neutrinos from measurements with NaCl dissolved in the heavy-water detector at the Sudbury Neutrino Observatory. Phys. Rev. C 72, 055502 (2005).

    Article  ADS  Google Scholar 

  55. Arpesella, C. et al. Direct measurement of the Be-7 solar neutrino flux with 192 days of Borexino data. Phys. Rev. Lett. 101, 091302 (2008).

    Article  ADS  Google Scholar 

  56. Ashie, Y. et al. Evidence for an oscillatory signature in atmospheric neutrino oscillation. Phys. Rev. Lett. 93, 101801 (2004).

    Article  ADS  Google Scholar 

  57. Adamson, P. et al. Combined analysis of ν μ disappearance and ν μν e appearance in MINOS using accelerator and atmospheric neutrinos. Phys. Rev. Lett. 112, 191801 (2014).

    Article  ADS  Google Scholar 

  58. Aartsen, M. G. et al. Measurement of atmospheric neutrino oscillations at 6–56 GeV with IceCube DeepCore. Phys. Rev. Lett. 120, 071801 (2018).

    Article  ADS  Google Scholar 

  59. Abe, S. et al. Precision measurement of neutrino oscillation parameters with KamLAND. Phys. Rev. Lett. 100, 221803 (2008).

    Article  ADS  Google Scholar 

  60. Abe, Y. et al. Indication of reactor disappearance in the Double Chooz experiment. Phys. Rev. Lett. 108, 131801 (2012).

    Article  ADS  Google Scholar 

  61. Ahn, J. K. et al. Observation of reactor electron antineutrino disappearance in the RENO experiment. Phys. Rev. Lett. 108, 191802 (2012).

    Article  ADS  Google Scholar 

  62. An, F. P. et al. Spectral measurement of electron antineutrino oscillation amplitude and frequency at Daya Bay. Phys. Rev. Lett. 112, 061801 (2014).

    Article  ADS  Google Scholar 

  63. Abe, K. et al. Combined analysis of neutrino and antineutrino oscillations at T2K. Phys. Rev. Lett. 118, 151801 (2017).

    Article  ADS  Google Scholar 

  64. Adamson, P. et al. Constraints on oscillation parameters from ν e appearance and ν μ disappearance in NOvA. Phys. Rev. Lett. 118, 231801 (2017).

    Article  ADS  Google Scholar 

  65. Coleman, S. R. & Glashow, S. L. High-energy tests of Lorentz invariance. Phys. Rev. D 59, 116008 (1999).

    Article  ADS  Google Scholar 

  66. Amelino-Camelia, G., Ellis, J. R., Mavromatos, N. E., Nanopoulos, D. V. & Sarkar, S. Tests of quantum gravity from observations of gamma-ray bursts. Nature 393, 763–765 (1998).

    Article  ADS  Google Scholar 

  67. Colladay, D. & Kostelecký, V. A. CPT violation and the standard model. Phys. Rev. D. 55, 6760–6774 (1997).

    Article  ADS  Google Scholar 

  68. Colladay, D. & Kostelecký, V. A. Lorentz violating extension of the standard model. Phys. Rev. D. 58, 116002 (1998).

    Article  ADS  Google Scholar 

  69. Kostelecký, V. A. Gravity, Lorentz violation, and the standard model. Phys. Rev. D. 69, 105009 (2004).

    Article  ADS  Google Scholar 

  70. Auerbach, L. B. et al. Tests of Lorentz violation in \({\bar{\nu }}_{\mu }\to {\bar{\nu }}_{e}\) oscillations. Phys. Rev. D 72, 076004 (2005).

  71. Aguilar-Arevalo, A. A. et al. Test of Lorentz and CPT violation with short baseline neutrino oscillation excesses. Phys. Lett. B 718, 1303–1308 (2013).

    Article  ADS  Google Scholar 

  72. Adamson, P. et al. Testing Lorentz invariance and CPT conservation with NuMI neutrinos in the MINOS near detector. Phys. Rev. Lett. 101, 151601 (2008).

    Article  ADS  Google Scholar 

  73. Adamson, P. et al. A search for Lorentz invariance and CPT violation with the MINOS far detector. Phys. Rev. Lett. 105, 151601 (2010).

    Article  ADS  Google Scholar 

  74. Adamson, P. et al. Search for Lorentz invariance and CPT violation with muon antineutrinos in the MINOS near detector. Phys. Rev. D 85, 031101 (2012).

    Article  ADS  Google Scholar 

  75. Rebel, B. & Mufson, S. The search for neutrino-antineutrino mixing resulting from Lorentz invariance violation using neutrino interactions in MINOS. Astropart. Phys. 48, 78–81 (2013).

    Article  ADS  Google Scholar 

  76. Abe, Y. et al. First test of Lorentz violation with a reactor-based antineutrino experiment. Phys. Rev. D 86, 112009 (2012).

    Article  ADS  Google Scholar 

  77. Díaz, J. S., Katori, T., Spitz, J. & Conrad, J. M. Search for neutrino-antineutrino oscillations with a reactor experiment. Phys. Lett. B 727, 412 (2013).

    Article  ADS  Google Scholar 

  78. Diaz, J. S. & Schwetz, T. Limits on CPT violation from solar neutrinos. Phys. Rev. D 93, 093004 (2016).

    Article  ADS  Google Scholar 

  79. Abe, K. et al. Search for Lorentz and CPT violation using sidereal time dependence of neutrino flavor transitions over a short baseline. Phys. Rev. D 95, 111101 (2017).

    Article  ADS  Google Scholar 

  80. Feroz, F., Hobson, M. P. & Bridges, M. MultiNest: an efficient and robust Bayesian inference tool for cosmology and particle physics. Mon. Not. R. Astron. Soc. 398, 1601–1614 (2009).

    Article  ADS  Google Scholar 

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Acknowledgements

We acknowledge the support from the following agencies: USA—US National Science Foundation–Office of Polar Programs, US National Science Foundation–Physics Division, Wisconsin Alumni Research Foundation, Center for High Throughput Computing (CHTC) at the University of Wisconsin–Madison, Open Science Grid (OSG), Extreme Science and Engineering Discovery Environment (XSEDE), US Department of Energy–National Energy Research Scientific Computing Center, Particle astrophysics research computing centre at the University of Maryland, Institute for Cyber-Enabled Research at Michigan State University and Astroparticle physics computational facility at Marquette University; Belgium—Funds for Scientific Research (FRS-FNRS and FWO), FWO Odysseus and Big Science programmes, and Belgian Federal Science Policy Office (Belspo); Germany—Bundesministerium für Bildung und Forschung (BMBF), Deutsche Forschungsgemeinschaft (DFG), Helmholtz Alliance for Astroparticle Physics (HAP), Initiative and Networking Fund of the Helmholtz Association, Deutsches Elektronen Synchrotron (DESY), and High Performance Computing cluster of the RWTH Aachen; Sweden—Swedish Research Council, Swedish Polar Research Secretariat, Swedish National Infrastructure for Computing (SNIC), and Knut and Alice Wallenberg Foundation; Australia—Australian Research Council; Canada—Natural Sciences and Engineering Research Council of Canada, Calcul Québec, Compute Ontario, Canada Foundation for Innovation, WestGrid and Compute Canada; Denmark—Villum Fonden, Danish National Research Foundation (DNRF); New Zealand—Marsden Fund; Japan—Japan Society for Promotion of Science (JSPS) and Institute for Global Prominent Research (IGPR) of Chiba University; Korea—National Research Foundation of Korea (NRF); Switzerland—Swiss National Science Foundation (SNSF); UK—Science and Technology Facilities Council (STFC) and The Royal Society.

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The IceCube Collaboration designed, constructed and now operates the IceCube Neutrino Observatory. Data processing and calibration, Monte Carlo simulations of the detector and of theoretical models, and data analyses were performed by a large number of collaboration members, who also discussed and approved the scientific results presented here. The main authors of this manuscript were C. Argüelles, A. Kheirandish, G. Collin, S. Mandalia, J. Conrad and T. Katori. It was reviewed by the entire collaboration before publication, and all authors approved the final version of the manuscript.

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Correspondence to C. Argüelles, G. H. Collin, J. M. Conrad, A. Kheirandish, T. Katori or S. Mandalia.

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The IceCube Collaboration. Neutrino interferometry for high-precision tests of Lorentz symmetry with IceCube. Nature Phys 14, 961–966 (2018). https://doi.org/10.1038/s41567-018-0172-2

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