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Neutrino-electron scattering in noncommutative space

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Abstract

Neutral particles can couple with the U(1) gauge field in the adjoint representation at the tree level if the space-time coordinates are noncommutative (NC). Considering neutrino-photon coupling in the NC QED framework, we obtain the differential cross section of neutrino-electron scattering. Similar to the magnetic moment effect, one of the NC terms is proportional to \( \frac{1}{T} \), where T is the electron recoil energy. Therefore, this scattering provides a chance to achieve a stringent bound on the NC scale in low energy by improving the sensitivity to the smaller electron recoil energy.

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References

  1. Super-Kamiokande collaboration, Y. Fukuda et al., Evidence for oscillation of atmospheric neutrinos, Phys. Rev. Lett. 81 (1998) 1562 [hep-ex/9807003] [SPIRES].

    Article  ADS  Google Scholar 

  2. Super-Kamiokande collaboration, Y. Fukuda et al., Measurements of the solar neutrino flux from Super-Kamiokande’s first 300 days, Phys. Rev. Lett. 81 (1998) 1158 [hep-ex/9805021] [SPIRES].

    Article  ADS  Google Scholar 

  3. Super-Kamiokande collaboration, S. Fukuda et al., Determination of Solar Neutrino Oscillation Parameters using 1496 Days of Super-Kamiokande-I Data, Phys. Lett. B 539 (2002) 179 [hep-ex/0205075] [SPIRES].

    ADS  Google Scholar 

  4. Super-Kamiokande collaboration, M.B. Smy et al., Precise Measurement of the Solar Neutrino Day/Night and Seasonal Variation in Super-Kamiokande-I, Phys. Rev. D 69 (2004) 011104 [hep-ex/0309011] [SPIRES].

    ADS  Google Scholar 

  5. Super-Kamiokande collaboration, Y. Ashie et al., Evidence for an oscillatory signature in atmospheric neutrino oscillation, Phys. Rev. Lett. 93 (2004) 101801 [hep-ex/0404034] [SPIRES].

    Article  ADS  Google Scholar 

  6. C.W. Walter, The Super-Kamiokande Experiment, arXiv:0802.1041 [SPIRES].

  7. A.B. Balantekin, Neutrino magnetic moment, AIP Conf. Proc. 847 (2006) 128 [hep-ph/0601113] [SPIRES].

    Article  ADS  Google Scholar 

  8. MUNU collaboration, Z. Daraktchieva et al., Final results on the neutrino magnetic moment from the MUNU experiment, Phys. Lett. B 615 (2005) 153 [hep-ex/0502037] [SPIRES].

    ADS  Google Scholar 

  9. TEXONO collaboration, H.B. Li et al., New Limits on Neutrino Magnetic Moments from the Kuo-Sheng Reactor Neutrino Experiment, Phys. Rev. Lett. 90 (2003) 131802 [hep-ex/0212003] [SPIRES].

    Article  ADS  Google Scholar 

  10. TEXONO collaboration, H.T. Wong et al., Search of Neutrino Magnetic Moments with a High-Purity Germanium Detector at the Kuo-Sheng Nuclear Power Station, Phys. Rev. D 75 (2007) 012001 [hep-ex/0605006] [SPIRES].

    ADS  Google Scholar 

  11. TEXONO collaboration, M. Deniz et al., Constraints on Non-Standard Neutrino Interactions and Unparticle Physics with Neutrino-Electron Scattering at the Kuo-Sheng Nuclear Power Reactor, Phys. Rev. D 82 (2010) 033004 [arXiv:1006.1947] [SPIRES].

    ADS  Google Scholar 

  12. M.R. Douglas and N.A. Nekrasov, Noncommutative field theory, Rev. Mod. Phys. 73 (2001) 977 [hep-th/0106048] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  13. X. Calmet, M. Graesser and S.D.H. Hsu, Minimum length from quantum mechanics and general relativity, Phys. Rev. Lett. 93 (2004) 211101 [hep-th/0405033] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  14. S. Minwalla, M. Van Raamsdonk and N. Seiberg, Noncommutative perturbative dynamics, JHEP 02 (2000) 020 [hep-th/9912072] [SPIRES].

    Article  ADS  Google Scholar 

  15. A. Matusis, L. Susskind and N. Toumbas, The IR/UV connection in the non-commutative gauge theories, JHEP 12 (2000) 002 [hep-th/0002075] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  16. S.M. Carroll, J.A. Harvey, V.A. Kostelecky, C.D. Lane and T. Okamoto, Noncommutative field theory and Lorentz violation, Phys. Rev. Lett. 87 (2001) 141601 [hep-th/0105082] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  17. M.M. Sheikh-Jabbari, Discrete symmetries (C,P,T) in noncommutative field theories, Phys. Rev. Lett. 84 (2000) 5265 [hep-th/0001167][SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  18. P. Aschieri, B. Jurčo, P. Schupp and J. Wess, Non-commutative GUTs, standard model and C, P, T, Nucl. Phys. B 651 (2003) 45 [hep-th/0205214] [SPIRES].

    Article  ADS  Google Scholar 

  19. M. Chaichian, M.M. Sheikh-Jabbari and A. Tureanu, Hydrogen atom spectrum and the Lamb shift in noncommutative QED, Phys. Rev. Lett. 86 (2001) 2716 [hep-th/0010175] [SPIRES].

    Article  ADS  Google Scholar 

  20. A. Stern, Noncommutative Point Sources, Phys. Rev. Lett. 100 (2008) 061601 [arXiv:0709.3831] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  21. M. Haghighat, S.M. Zebarjad and F. Loran, Positronium hyperfine splitting in non-commutative space at the order α 6, Phys. Rev. D 66 (2002) 016005 [hep-ph/0109105] [SPIRES].

    ADS  Google Scholar 

  22. M. Haghighat and F. Loran, Three body bound state in noncommutative space, Phys. Rev. D 67 (2003) 096003 [SPIRES].

    ADS  Google Scholar 

  23. M. Burić, D. Latas, V. Radovanović and J. Trampetic, Nonzero Z → γγ decays in the renormalizable gauge sector of the noncommutative standard model, Phys. Rev. D 75 (2007) 097701 [SPIRES].

    ADS  Google Scholar 

  24. E.O. Iltan, The Z − → ℓ + ℓ − and W → ν ℓ ℓ + decays in the noncommutative standard model, Phys. Rev. D 66 (2002) 034011 [hep-ph/0204332] [SPIRES].

    ADS  Google Scholar 

  25. B. Melic, K. Passek-Kumericki and J. Trampetic, Quarkonia decays into two photons induced by the space-time non-commutativity, Phys. Rev. D 72 (2005) 054004 [hep-ph/0503133] [SPIRES].

    ADS  Google Scholar 

  26. B. Melic, K. Passek-Kumericki and J. Trampetic, K → πγ decay and space-time noncommutativity, Phys. Rev. D 72 (2005) 057502 [hep-ph/0507231] [SPIRES].

    ADS  Google Scholar 

  27. C. Tamarit and J. Trampetic, Noncommutative fermions and quarkonia decays, Phys. Rev. D 79 (2009) 025020 [arXiv:0812.1731] [SPIRES].

    ADS  Google Scholar 

  28. N. Mahajan, t → bW in noncommutative standard model, Phys. Rev. D 68 (2003) 095001 [hep-ph/0304235] [SPIRES].

    ADS  Google Scholar 

  29. M. Mohammadi Najafabadi, Semi-Leptonic Decay of a Polarized Top Quark in the Noncommutative Standard Model, Phys. Rev. D 74 (2006) 025021 [hep-ph/0606017] [SPIRES].

    ADS  Google Scholar 

  30. M. Mohammadi Najafabadi, Noncommutative Standard Model in Top Quark Sector, Phys. Rev. D 77 (2008) 116011 [arXiv:0803.2340] [SPIRES].

    ADS  Google Scholar 

  31. OPAL collaboration, G. Abbiendi et al., Test of non-commutative QED in the process e + e − → γγ at LEP, Phys. Lett. B 568 (2003) 181 [hep-ex/0303035] [SPIRES].

    ADS  Google Scholar 

  32. J.L. Hewett, F.J. Petriello and T.G. Rizzo, Signals for non-commutative interactions at linear colliders, Phys. Rev. D 64 (2001) 075012 [hep-ph/0010354] [SPIRES].

    ADS  Google Scholar 

  33. P.K. Das, N.G. Deshpande and G. Rajasekaran, Móller and Bhaba scattering in the noncommutative SM, Phys. Rev. D 77 (2008) 035010 [arXiv:0710.4608] [SPIRES].

    ADS  Google Scholar 

  34. J.-i. Kamoshita, Probing noncommutative space-time in the laboratory frame, Eur. Phys. J. C 52 (2007) 451 [hep-ph/0206223] [SPIRES].

    Article  ADS  Google Scholar 

  35. Y. Liao and C. Dehne, Some phenomenological consequences of the time-ordered perturbation theory of QED on noncommutative spacetime, Eur. Phys. J. C 29 (2003) 125 [hep-ph/0211425] [SPIRES].

    Article  ADS  Google Scholar 

  36. M. Haghighat, N. Okada and A. Stern, Location and Direction Dependent Effects in Collider Physics from Noncommutativity, Phys. Rev. D 82 (2010) 016007 [arXiv:1006.1009] [SPIRES].

    ADS  Google Scholar 

  37. A. Alboteanu, T. Ohl and R. Ruckl, Probing the noncommutative standard model at hadron colliders, Phys. Rev. D 74 (2006) 096004 [hep-ph/0608155] [SPIRES].

    ADS  Google Scholar 

  38. T. Ohl and J. Reuter, Testing the noncommutative standard model at a future photon collider, Phys. Rev. D 70 (2004) 076007 [hep-ph/0406098] [SPIRES].

    ADS  Google Scholar 

  39. M.M. Ettefaghi, Singlet particles as cold dark matter in noncommutative space-time, Phys. Rev. D 79 (2009) 065022 [arXiv:0903.1708] [SPIRES].

    ADS  Google Scholar 

  40. M. Haghighat, Bounds on the Parameter of Noncommutativity from Supernova SN1987A, Phys. Rev. D 79 (2009) 025011 [arXiv:0901.1069] [SPIRES].

    ADS  Google Scholar 

  41. R. Horvat and J. Trampetic, Constraining spacetime noncommutativity with primordial nucleosynthesis, Phys. Rev. D 79 (2009) 087701 [arXiv:0901.4253] [SPIRES].

    ADS  Google Scholar 

  42. E. Bavarsad et al., Generation of circular polarization of the CMB, Phys. Rev. D 81 (2010) 084035 [arXiv:0912.2993] [SPIRES].

    ADS  Google Scholar 

  43. H. Grosse and Y. Liao, Anomalous C-violating three photon decay of the neutral pion in noncommutative quantum electrodynamics, Phys. Lett. B 520 (2001) 63 [hep-ph/0104260] [SPIRES].

    ADS  Google Scholar 

  44. H. Grosse and Y. Liao, Pair production of neutral Higgs bosons through noncommutative QED interactions at linear colliders, Phys. Rev. D 64 (2001) 115007 [hep-ph/0105090] [SPIRES].

    ADS  Google Scholar 

  45. P. Schupp, J. Trampetic, J. Wess and G. Raffelt, The photon neutrino interaction in non-commutative gauge field theory and astrophysical bounds, Eur. Phys. J. C 36 (2004) 405 [hep-ph/0212292] [SPIRES].

    Article  ADS  Google Scholar 

  46. M. Haghighat, M.M. Ettefaghi and M. Zeinali, Photon neutrino scattering in non-commutative space, Phys. Rev. D 73 (2006) 013007 [hep-ph/0511042] [SPIRES].

    ADS  Google Scholar 

  47. M.M. Ettefaghi and M. Haghighat, Massive Neutrino in Non-commutative Space-time, Phys. Rev. D 77 (2008) 056009 [arXiv:0712.4034] [SPIRES].

    ADS  Google Scholar 

  48. Neutrino Factory/Muon Collider collaboration, C.H. Albright et al., The neutrino factory and beta beam experiments and development, physics/0411123 [SPIRES].

  49. J. Madore, S. Schraml, P. Schupp and J. Wess, Gauge theory on noncommutative spaces, Eur. Phys. J. C 16 (2000) 161 [hep-th/0001203] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  50. B. Jurčo, S. Schraml, P. Schupp and J. Wess, Enveloping algebra valued gauge transformations for non-Abelian gauge groups on non-commutative spaces, Eur. Phys. J. C 17 (2000) 521 [hep-th/0006246] [SPIRES].

    ADS  Google Scholar 

  51. B. Jurčo, L. Möller, S. Schraml, P. Schupp and J. Wess, Construction of non-Abelian gauge theories on noncommutative spaces, Eur. Phys. J. C 21 (2001) 383 [hep-th/0104153] [SPIRES].

    ADS  Google Scholar 

  52. L. Möller, Second order of the expansions of action functionals of the noncommutative standard model, JHEP 10 (2004) 063 [hep-th/0409085] [SPIRES].

    Article  Google Scholar 

  53. M.M. Ettefaghi and M. Haghighat, Lorentz Conserving Noncommutative Standard Model, Phys. Rev. D 75 (2007) 125002 [hep-ph/0703313] [SPIRES].

    MathSciNet  ADS  Google Scholar 

  54. M. Chaichian, P. Prešnajder, M.M. Sheikh-Jabbari and A. Tureanu, Noncommutative gauge field theories: A no-go theorem, Phys. Lett. B 526 (2002) 132 [hep-th/0107037] [SPIRES].

    ADS  Google Scholar 

  55. M. Chaichian, P. Prešnajder, M.M. Sheikh-Jabbari and A. Tureanu, Noncommutative Standard Model: Model Building, Eur. Phys. J. C 29 (2003) 413 [hep-th/0107055] [SPIRES].

    ADS  Google Scholar 

  56. X. Calmet, B. Jurčo, P. Schupp, J. Wess and M. Wohlgenannt, The standard model on non-commutative space-time, Eur. Phys. J. C 23 (2002) 363 [hep-ph/0111115] [SPIRES].

    ADS  Google Scholar 

  57. B. Melic, K. Passek-Kumericki, J. Trampetic, P. Schupp and M. Wohlgenannt, The standard model on non-commutative space-time: Electroweak currents and Higgs sector, Eur. Phys. J. C 42 (2005) 483 [hep-ph/0502249] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  58. J. Gomis and T. Mehen, Space-time noncommutative field theories and unitarity, Nucl. Phys. B 591 (2000) 265 [hep-th/0005129] [SPIRES].

    Article  MathSciNet  ADS  Google Scholar 

  59. A. de Gouvêa and J. Jenkins, What can we learn from neutrino electron scattering?, Phys. Rev. D 74 (2006) 033004 [hep-ph/0603036] [SPIRES].

    ADS  Google Scholar 

  60. W.J. Marciano and Z. Parsa, Neutrino-Electron Scattering Theory, J. Phys. G 29 (2003) 2629 [hep-ph/0403168] [SPIRES].

    ADS  Google Scholar 

  61. A.B. Balantekin and K.O. Ozansoy, Constraints on Unparticles from Low Energy Neutrino-Electron Scattering, Phys. Rev. D 76 (2007) 095014 [arXiv:0710.0028] [SPIRES].

    ADS  Google Scholar 

  62. P. Vogel and J. Engel, Neutrino Electromagnetic Form-Factors, Phys. Rev. D 39 (1989) 3378 [SPIRES].

    ADS  Google Scholar 

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Authors and Affiliations

  1. Department of physics, The Univrsity of qom, Ghadeer Blvd., Qom, 371614-6611, Iran

    M. M. Ettefaghi

  2. Department of physics, Tafresh University, Tafresh, Iran

    T. Shakouri

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Ettefaghi, M.M., Shakouri, T. Neutrino-electron scattering in noncommutative space. J. High Energ. Phys. 2010, 131 (2010). https://doi.org/10.1007/JHEP11(2010)131

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