Test of Lorentz invariance with atmospheric neutrinos

A search for neutrino oscillations induced by Lorentz violation has been performed using 4,438 live-days of Super-Kamiokande atmospheric neutrino data. The Lorentz violation is included in addition to standard three-flavor oscillations using the non-perturbative Standard Model Extension (SME), allowing the use of the full range of neutrino path lengths, ranging from 15 to 12,800 km, and energies ranging from 100 MeV to more than 100 TeV in the search. No evidence of Lorentz violation was observed, so limits are set on the renormalizable isotropic SME coefficients in the $e\mu$, $\mu\tau$, and $e\tau$ sectors, improving the existing limits by up to seven orders of magnitude and setting limits for the first time in the neutrino $\mu\tau$ sector of the SME.

J. L. Raaf | L. R. Sulak | L. Labarga | M. J. Wilking | W. R. Kropp | E. Kearns | A. Himmel | J. G. Learned | S. Matsuno | C. Yanagisawa | C. W. Walter | C. K. Jung | S. Tobayama | T. Tsukamoto | A. Renshaw | G. Carminati | Y. Itow | T. Ishii | T. Nakadaira | T. Kobayashi | Y. Takeuchi | T. Akiri | P. Mijakowski | H. W. Sobel | K. Scholberg | G. Mitsuka | A. Konaka | A. Kibayashi | S. Takahashi | J. F. Martin | A. Murakami | K. Martens | J. Hignight | S. Kim | J. Hignight | T. Kajita | K. Nakamura | L. Labarga | Y. Suzuki | Y. Choi | H. Ishino | T. Mori | T. Tsukamoto | J. Hill | L. Sulak | T. Tomura | M. Yokoyama | A. Suzuki | M. Ikeda | T. Nakadaira | K. Suzuki | A. Renshaw | K. Scholberg | V. Takhistov | K. Huang | Y. Koshio | Y. Suda | Y. Hayato | C. Walter | T. Kobayashi | I. Lim | C. Yanagisawa | J. Martin | Y. Takeuchi | L. Marti | Y. Kuno | T. Abe | C. Bronner | K. Connolly | P. Perio | Y. Fukuda | M. Goldhaber | B. Hartfiel | T. Hasegawa | K. Ieki | J. Imber | T. Ishida | K. Iyogi | C. Jung | J. Kameda | K. Kaneyuki | E. Kearns | T. Kikawa | J. Kim | A. Konaka | W. Kropp | K. P. Lee | T. McLachlan | P. Mijakowski | A. Minamino | S. Mine | M. Miura | S. Moriyama | A. Murakami | M. Nakahata | S. Nakayama | T. Nakaya | K. Okumura | Y. Oyama | J. Raaf | K. Sakashita | T. Sekiguchi | H. Sekiya | M. Shiozawa | M. Smy | H. Sobel | R. Tacik | S. Takahashi | A. Takeda | H. Tanaka | Y. Totsuka | K. Ueno | M. Vagins | R. Wendell | R. Wilkes | M. Wilking | T. Wongjirad | T. Yano | J. Jang | G. Carminati | A. Himmel | J. Learned | T. Akiri | S. Berkman | S. Hirota | T. Irvine | Y. Nishimura | S. Tobayama | S. Chen | M. Koshiba | K. Ganezer | T. Yokozawa | W. Keig | T. Ishizuka | S. Tasaka | S. Matsuno | Y. Itow | G. Mitsuka | A. Kibayashi | M. Sakuda | H. Okazawa | K. Nishijima | Y. Kishimoto | S. Smith | K. Martens | P. Weatherly | J. Stone | K. Choi | T. Ishii | K. Nishijima | T. Tomura | Y. Choi | T. Mori | S. Chen | H. A. Tanaka | S. Mine | Y. Fukuda | K. Ieki | Y. Nakano | P. Fernández | H. Ishino | M. B. Smy | T. Kajita | K. Nakamura | T. Kikawa | Y. Koshio | T. Wongjirad | Y. Hayato | K. Huang | M. Ikeda | J. Kameda | Y. Kishimoto | A. Minamino | M. Miura | S. Moriyama | M. Nakahata | T. Nakaya | S. Nakayama | Y. Nishimura | K. Okumura | M. Sakuda | H. Sekiya | M. Shiozawa | A. T. Suzuki | A. Takeda | S. Tasaka | M. R. Vagins | M. Yokoyama | S. Berkman | C. Bronner | T. Hasegawa | S. Hirota | J. Imber | T. Ishida | Y. Oyama | K. Sakashita | T. Sekiguchi | Y. Suzuki | R. Tacik | T. Yano | P. Weatherly | Y. Haga | I. Kametani | E. Richard | J. Gustafson | N. Hong | K. Tateishi | R. Yamaguchi | Y. Zhang | J. Hill | Y. Kuno | H. Tanaka | K. S. Ganezer | J. L. Stone | P. de Perio | I. T. Lim | The Super-Kamiokande Collaboration K. Abe | Y. Haga | K. Iyogi | Y. Nakano | K. Ueno | R. A. Wendell | T. Yokozawa | T. Irvine | I. Kametani | K. Kaneyuki | T. McLachlan | E. Richard | P. Fernandez | J. Gustafson | M. Goldhaber | V. Takhistov | B. L. Hartfiel | W. E. Keig | N. Hong | J. Y. Kim | T. Ishizuka | J. S. Jang | S. N. Smith | K. Suzuki | K. Tateishi | K. Choi | R. Yamaguchi | S. B. Kim | H. Okazawa | M. Koshiba | Y. Suda | Y. Totsuka | Ll. Marti | Y. Zhang | K. Connolly | R. J. Wilkes | T. Hasegawa | H. Tanaka | H. Tanaka | T. Mori | K. Suzuki | Takashi Mori | S. Smith | J. Hill | L. Sulak | T. Hasegawa | C. Jung | P. Fernandez

[1]  W. Marsden.  I and J , 2012 .

[2]  A. Kostelecký,et al.  Data Tables for Lorentz and CPT Violation , 2008, 0801.0287.

[3]  Heiko Geenen,et al.  IceCube Collaboration , 2005 .

[4]  A. Kostelecký,et al.  Perturbative Lorentz and CPT violation for neutrino and antineutrino oscillations , 2009, 0908.1401.

[5]  S. Hawking.  Breakdown of Predictability in Gravitational Collapse , 1976 .

[6]  The Super-Kamiokande Collaboration,et al.  Evidence for oscillation of atmospheric neutrinos , 1998, hep-ex/9807003.

[7]  L. Gosset,et al.  GALLEX solar neutrino observations: Results for GALLEX IV , 1996 .

[8]  D. H. White,et al.  The MiniBooNE Collaboration , 2008 .

[9]  Alan Kostelecky,et al.  Neutrinos with Lorentz-violating operators of arbitrary dimension , 2011, 1112.6395.

[10]  J. C. Mitchell,et al.  Search for Lorentz Invariance and CPT Violation with Muon Antineutrinos in the MINOS Near Detector , 2012, 1201.2631.

[11]  Alan Kostelecky,et al.  Lorentz-Violating Extension of the Standard Model , 1998 .

[12]  J. P. Rodrigues,et al.  Search for a Lorentz-violating sidereal signal with atmospheric neutrinos in IceCube , 2010, Physical Review D.

[13]  J. Wilkerson,et al.  Measurement of the solar neutrino capture rate with gallium metal. III: Results for the 2002--2007 data-taking period , 2009, 0901.2200.

[14]  J. Conrad,et al.  Search for neutrino-antineutrino oscillations with a reactor experiment , 2013, 1307.5789.

[15]  R. Bluhm.  Overview of the SME: Implications and phenomenology of Lorentz violation , 2005, hep-ph/0506054.

[16]  M. Hartz,et al.  Evidence of electron neutrino appearance in a muon neutrino beam , 2013, 1304.0841.

[17]  Samuel,et al.  Spontaneous breaking of Lorentz symmetry in string theory. , 1989, Physical review. D, Particles and fields.

[18]  David Mattingly,et al.  Modern Tests of Lorentz Invariance , 2005, Living reviews in relativity.

[19]  T. Akiri.  Sensitivity of atmospheric neutrinos in Super-Kamiokande to Lorentz violation , 2013, 1308.2210.

[20]  T. Katori.  Tests of Lorentz and CPT violation with MiniBooNE neutrino oscillation excesses , 2012, 1206.6915.

[21]  Sandip Pakvasa,et al.  Matter effects on three-neutrino oscillations , 1980 .

[22]  M. Chiarini,et al.  Complete results for five years of GNO solar neutrino observations , 2005, hep-ex/0504037.

[23]  A. Kostelecký,et al.  Lorentz and CPT violation in the neutrino sector , 2003, hep-ph/0308300.

[24]  V. Tioukov,et al.  New results on νμ → ντ appearance with the OPERA experiment in the CNGS beam , 2013, 1308.2553.

[25]  Serio,et al.  The OPERA collaboration , 2006 .

[26]  A. Kostelecký.  Gravity, Lorentz violation, and the standard model , 2003, hep-th/0312310.

[27]  C. K. Lee,et al.  Measurement of the Solar Electron Neutrino Flux with the Homestake Chlorine Detector , 1998 .

[28]  G. G. Stokes.  "J." , 1890, The New Yale Book of Quotations.

[29]  J. C. Mitchell,et al.  Search for Lorentz invariance and CPT violation with the MINOS far detector. , 2010, Physical review letters.

[30]  A. Kostelecký,et al.  Lorentz violation and short-baseline neutrino experiments , 2004, hep-ph/0406255.

[31]  D. H. White,et al.  Test of Lorentz and CPT violation with Short Baseline Neutrino Oscillation Excesses , 2011, 1109.3480.

[32]  S. Kim,et al.  Solar neutrino results in Super-Kamiokande-III , 2010, 1010.0118.

[33]  A. Kostelecký,et al.  Lorentz and CPT violation in neutrinos , 2003, hep-ph/0309025.

[34]  S. Kim,et al.  Limits on sterile neutrino mixing using atmospheric neutrinos in Super-Kamiokande , 2014, 1410.2008.

[35]  D. L. Anderson,et al.  Preliminary reference earth model , 1981 .

[36]  J. I. Crespo-Anad'on,et al.  First Test of Lorentz Violation with a Reactor-based Antineutrino Experiment , 2012, 1209.5810.

[37]  Z. Maki,et al.  Remarks on the unified model of elementary particles , 1962 .

[38]  Measurement of neutrino oscillation by the K2K experiment , 2006, hep-ex/0606032.

[39]  S. Kim,et al.  Atmospheric neutrino oscillation analysis with subleading effects in Super-Kamiokande I, II, and III , 2010, 1002.3471.

[40]  A. Kostelecký,et al.  $CPT$ violation and the standard model , 1997, hep-ph/9703464.

[41]  L. Y. Wang,et al.  Observation of electron-antineutrino disappearance at Daya Bay. , 2012, Physical review letters.

[42]  S. Hahn,et al.  Measurement of neutrino and antineutrino oscillations using beam and atmospheric data in MINOS. , 2013, Physical review letters.

[43]  E. al.,et al.  Evidence for an oscillatory signature in atmospheric neutrino oscillation , 2004, hep-ex/0404034.

[44]  S. Mufson,et al.  The search for neutrino–antineutrino mixing resulting from Lorentz invariance violation using neutrino interactions in MINOS , 2013, 1301.4684.

[45]  O W Greenberg.  CPT violation implies violation of Lorentz invariance. , 2002, Physical review letters.

[46]  M. Hartz,et al.  Precise Measurement of the Neutrino Mixing Parameter \theta_{23} from Muon Neutrino Disappearance in an Off-axis Beam , 2014, 1403.1532.

[47]  Y. Oyama,et al.  for the K2K collaboration , 2008 .

[48]  H. Budd,et al.  First muon-neutrino disappearance study with an off-axis beam , 2012, 1201.1386.

[49]  A.Takeda,et al.  Calibration of the Super-Kamiokande detector , 2013, 1307.0162.

[50]  R. Webb,et al.  Testing Lorentz invariance and CPT conservation with NuMI neutrinos in the MINOS near detector. , 2008, Physical review letters.

[51]  ...................................................  MINOS COLLABORATION , 2001 .

[52]  T. Kuo,et al.  Neutrino Oscillations in Matter , 1989 .

[53]  A. Maćıas,et al.  The Search for Quantum Gravity Signals , 2005, gr-qc/0501053.