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Light dark matter candidates in intense laser pulses I: paraphotons and fermionic minicharged particles

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  • Published: 25 June 2015
  • Volume 2015, article number 177, (2015)
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Light dark matter candidates in intense laser pulses I: paraphotons and fermionic minicharged particles
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  • S. Villalba-Chávez1 &
  • C. Müller1 

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A preprint version of the article is available at arXiv.

Abstract

Polarimetric experiments driven by the strong field of a circularly polarized laser wave can become a powerful tool to limit the parameter space of not yet detected hidden-photons and minicharged particles associated with extra U(1) gauge symmetries. We show how the absorption and dispersion of probe electromagnetic waves in the vacuum polarized by such a background are modified due to the coupling between the visible U(1)-gauge sector and these hypothetical degrees of freedom. The results of this analysis reveal that the regime close to the two-photon reaction threshold can be a sensititive probe of these hidden particles. Parameters of modern laser systems are used to estimate the projected sensitivities on the corresponding coupling constants in regions where experiments driven by dipole magnets are less constricted. The role played by a paraphoton field is analyzed via a comparison with a model in which the existence of minicharges is assumed only. For both scenarios is found that the most stringent exclusion limit occurs at the lowest threshold mass; this one being determined by a certain combination of the field frequencies and dictated by energy momentum balance of the photo-production of a pair of minicharged particles. The dependencies of the observables on the laser attributes as well as on the unknown particle parameters are also analyzed.

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References

  1. E. Witten, Some Properties of O(32) Superstrings, Phys. Lett. B 149 (1984) 351 [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  2. O. Lebedev, H.P. Nilles, S. Ramos-Sanchez, M. Ratz and P.K.S. Vaudrevange, Heterotic mini-landscape. (II). Completing the search for MSSM vacua in a Z(6) orbifold, Phys. Lett. B 668 (2008) 331 [arXiv:0807.4384] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  3. O. Lebedev and S. Ramos-Sanchez, The NMSSM and String Theory,Phys. Lett. B 684 (2010) 48 [arXiv:0912.0477] [INSPIRE].

    Article  ADS  MathSciNet  Google Scholar 

  4. M. Goodsell, J. Jaeckel, J. Redondo and A. Ringwald, Naturally Light Hidden Photons in LARGE Volume String Compactifications, JHEP 11 (2009) 027 [arXiv:0909.0515] [INSPIRE].

    Article  ADS  Google Scholar 

  5. J. Jaeckel and A. Ringwald, The Low-Energy Frontier of Particle Physics, Ann. Rev. Nucl. Part. Sci. 60 (2010) 405 [arXiv:1002.0329] [INSPIRE].

    Article  ADS  Google Scholar 

  6. A. Ringwald, Exploring the Role of Axions and Other WISPs in the Dark Universe, Phys. Dark Univ. 1 (2012) 116 [arXiv:1210.5081] [INSPIRE].

    Article  Google Scholar 

  7. J.L. Hewett et al., Fundamental Physics at the Intensity Frontier, Proceedings of the 2011 workshop on Fundamental Physics at the Intensity Frontier, [arXiv:1205.2671] [INSPIRE].

  8. R. Essig, J.A. Jaros, W. Wester, P.H. Adrian, S. Andreas et al., Working Group Report: new light weakly coupled particles, arXiv:1311.0029 [INSPIRE].

  9. L.B. Okun, Limits of electrodynamics: paraphotons?, Sov. Phys. JETP 56 (1982) 502 [Zh. Eksp. Teor. Fiz. 83 (1982) 892] [INSPIRE].

  10. P. Langacker, The Physics of Heavy Z ′ Gauge Bosons, Rev. Mod. Phys. 81 (2009) 1199 [arXiv:0801.1345] [INSPIRE].

    Article  ADS  Google Scholar 

  11. M. Ahlers, H. Gies, J. Jaeckel, J. Redondo and A. Ringwald, Light from the hidden sector, Phys. Rev. D 76 (2007) 115005 [arXiv:0706.2836] [INSPIRE].

    ADS  Google Scholar 

  12. M. Ahlers, H. Gies, J. Jaeckel, J. Redondo and A. Ringwald, Laser experiments explore the hidden sector, Phys. Rev. D 77 (2008) 095001 [arXiv:0711.4991] [INSPIRE].

    ADS  Google Scholar 

  13. B. Holdom, Two U(1)’s and ǫ charge shifts, Phys. Lett. B 166 (1986) 196 [INSPIRE].

    Article  ADS  Google Scholar 

  14. B.A. Dobrescu and I. Mocioiu, Spin-dependent macroscopic forces from new particle exchange, JHEP 11 (2006) 005 [hep-ph/0605342] [INSPIRE].

    Article  ADS  Google Scholar 

  15. H. Gies, J. Jaeckel and A. Ringwald, Polarized light propagating in a magnetic field as a probe of millicharged fermions, Phys. Rev. Lett. 97 (2006) 140402 [hep-ph/0607118] [INSPIRE].

    Article  ADS  Google Scholar 

  16. M. Ahlers, H. Gies, J. Jaeckel and A. Ringwald, On the particle interpretation of the PVLAS data: neutral versus charged particles, Phys. Rev. D 75 (2007) 035011 [hep-ph/0612098] [INSPIRE].

    ADS  Google Scholar 

  17. B. Batell and T. Gherghetta, Localized U(1) gauge fields, millicharged particles and holography, Phys. Rev. D 73 (2006) 045016 [hep-ph/0512356] [INSPIRE].

    ADS  MathSciNet  Google Scholar 

  18. F. Brummer, J. Jaeckel and V.V. Khoze, Magnetic mixing: electric minicharges from magnetic monopoles, JHEP 06 (2009) 037 [arXiv:0905.0633] [INSPIRE].

    Article  ADS  Google Scholar 

  19. E. Dudas, Y. Mambrini, S. Pokorski and A. Romagnoni, Extra U(1) as natural source of a monochromatic gamma ray line, JHEP 10 (2012) 123 [arXiv:1205.1520] [INSPIRE].

    Article  ADS  Google Scholar 

  20. B. Döbrich and H. Gies, Interferometry of light propagation in pulsed fields, Europhys. Lett. 87 (2009) 21002 [arXiv:0904.0216] [INSPIRE].

    Article  ADS  Google Scholar 

  21. H. Gies, External fields as a probe for fundamental physics, J. Phys. A 41 (2008) 164039 [arXiv:0711.1337] [INSPIRE].

    ADS  MathSciNet  MATH  Google Scholar 

  22. W. Dittrich and H. Gies, Probing the quantum vacuum, Springer, Heidelberg Germany (2000).

  23. K. Hattori and K. Itakura, Vacuum birefringence in strong magnetic fields: (I) photon polarization tensor with all the Landau levels, Ann. Phys. 330 (2013) 23 [arXiv:1209.2663] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  24. S. Villalba-Chávez and A.E. Shabad, QED with external field: Hamiltonian treatment for anisotropic medium formed by the Lorentz-non-invariant vacuum, Phys. Rev. D 86 (2012) 105040 [arXiv:1206.4491] [INSPIRE].

    ADS  Google Scholar 

  25. J. Jaeckel, Probing minicharged particles with tests of Coulomb’s law, Phys. Rev. Lett. 103 (2009) 080402 [arXiv:0904.1547] [INSPIRE].

    Article  ADS  Google Scholar 

  26. J. Jaeckel and S. Roy, Spectroscopy as a test of Coulomb’s law: a probe of the hidden sector,Phys. Rev. D 82 (2010) 125020 [arXiv:1008.3536] [INSPIRE].

    ADS  Google Scholar 

  27. J. Redondo and A. Ringwald, Light shining through walls, Contemp. Phys. 52 (2011) 211 [arXiv:1011.3741] [INSPIRE].

    Article  ADS  Google Scholar 

  28. P. Arias, J. Jaeckel, J. Redondo and A. Ringwald, Optimizing light-shining-through-a-wall experiments for axion and other WISP searches, Phys. Rev. D 82 (2010) 115018 [arXiv:1009.4875] [INSPIRE].

    ADS  Google Scholar 

  29. R. Cameron, G. Cantatore, A.C. Melissinos, G. Ruoso, Y. Semertzidis et al., Search for nearly massless, weakly coupled particles by optical techniques, Phys. Rev. D 47 (1993) 3707 [INSPIRE].

    ADS  Google Scholar 

  30. PVLAS collaboration, E. Zavattini et al., New PVLAS results and limits on magnetically induced optical rotation and ellipticity in vacuum, Phys. Rev. D 77 (2008) 032006 [arXiv:0706.3419] [INSPIRE].

  31. PVLAS collaboration, F. Della Valle et al., Measurements of vacuum magnetic birefringence using permanent dipole magnets: the PVLAS experiment, New J. Phys. 15 (2013) 053026 [arXiv:1301.4918] [INSPIRE].

  32. R. Battesti et al., The BMV experiment: a novel apparatus to study the propagation of light in a transverse magnetic field, Eur. Phys. J. D 46 (2008) 323.

    ADS  Google Scholar 

  33. S.-J. Chen, H.-H. Mei and W.-T. Ni, Q & A experiment to search for vacuum dichroism, pseudoscalar-photon interaction and millicharged fermions, Mod. Phys. Lett. A 22 (2007) 2815 [hep-ex/0611050] [INSPIRE].

  34. ALPS collaboration, K. Ehret et al., New ALPS Results on Hidden-Sector Lightweights, Phys. Lett. B 689 (2010) 149 [arXiv:1004.1313] [INSPIRE].

  35. ALPS collaboration, K. Ehret et al., Resonant laser power build-up in ALPS: a ‘light-shining-through-walls’ experiment, Nucl. Instrum. Meth. A 612 (2009) 83 [arXiv:0905.4159] [INSPIRE].

  36. GammeV (T-969) collaboration, A.S. Chou et al., Search for axion-like particles using a variable baseline photon regeneration technique, Phys. Rev. Lett. 100 (2008) 080402 [arXiv:0710.3783] [INSPIRE].

  37. J.H. Steffen and A. Upadhye, The GammeV suite of experimental searches for axion-like particles, Mod. Phys. Lett. A 24 (2009) 2053 [arXiv:0908.1529] [INSPIRE].

    Article  ADS  Google Scholar 

  38. A. Afanasev, O.K. Baker, K.B. Beard, G. Biallas, J. Boyce et al., New experimental limit on optical photon coupling to neutral, scalar bosons, Phys. Rev. Lett. 101 (2008) 120401 [arXiv:0806.2631] [INSPIRE].

    Article  ADS  Google Scholar 

  39. A.V. Afanasev, O.K. Baker and K.W. McFarlane, Production and detection of very light spin-zero bosons at optical frequencies, hep-ph/0605250 [INSPIRE].

  40. OSQAR collaboration, P. Pugnat et al., First results from the OSQAR photon regeneration experiment: no light shining through a wall, Phys. Rev. D 78 (2008) 092003 [arXiv:0712.3362] [INSPIRE].

  41. C. Robilliard et al., No light shining through a wall, Phys. Rev. Lett. 99 (2007) 190403 [arXiv:0707.1296] [INSPIRE].

    Article  ADS  Google Scholar 

  42. M. Fouche et al., Search for photon oscillations into massive particles, Phys. Rev. D 78 (2008) 032013 [arXiv:0808.2800] [INSPIRE].

    ADS  Google Scholar 

  43. S. Davidson, S. Hannestad and G. Raffelt, Updated bounds on millicharged particles, JHEP 05 (2000) 003 [hep-ph/0001179] [INSPIRE].

    Article  ADS  Google Scholar 

  44. E. Masso and J. Redondo, Compatibility of CAST search with axion-like interpretation of PVLAS results, Phys. Rev. Lett. 97 (2006) 151802 [hep-ph/0606163] [INSPIRE].

    Article  ADS  Google Scholar 

  45. J. Jaeckel, E. Masso, J. Redondo, A. Ringwald and F. Takahashi, The need for purely laboratory-based axion-like particle searches, Phys. Rev. D 75 (2007) 013004 [hep-ph/0610203] [INSPIRE].

  46. R. Bähre et al., Any light particle search II − Technical Design Report, 2013 JINST 8 T09001 [arXiv:1302.5647] [INSPIRE].

  47. P. Sikivie, D.B. Tanner and K. van Bibber, Resonantly enhanced axion-photon regeneration, Phys. Rev. Lett. 98 (2007) 172002 [hep-ph/0701198] [INSPIRE].

  48. G. Müller, P. Sikivie, D.B. Tanner and K. van Bibber, Detailed design of a resonantly-enhanced axion-photon regeneration experiment, Phys. Rev. D 80 (2009) 072004 [arXiv:0907.5387] [INSPIRE].

    ADS  Google Scholar 

  49. H. Gies, J. Jaeckel and A. Ringwald, Accelerator Cavities as a Probe of Millicharged Particles, Europhys. Lett. 76 (2006) 794 [hep-ph/0608238] [INSPIRE].

    Article  ADS  Google Scholar 

  50. B. Döbrich, H. Gies, N. Neitz and F. Karbstein, Magnetically amplified tunneling of the 3rd kind as a probe of minicharged particles, Phys. Rev. Lett. 109 (2012) 131802 [arXiv:1203.2533] [INSPIRE].

    Article  ADS  Google Scholar 

  51. B. Döbrich, H. Gies, N. Neitz and F. Karbstein, Magnetically amplified light-shining-through-walls via virtual minicharged particles, Phys. Rev. D 87 (2013) 025022 [arXiv:1203.4986] [INSPIRE].

    ADS  Google Scholar 

  52. H. Gies, Strong laser fields as a probe for fundamental physics, Eur. Phys. J. D 55 (2009) 311 [arXiv:0812.0668] [INSPIRE].

    ADS  Google Scholar 

  53. B. Döbrich and H. Gies, Axion-like-particle search with high-intensity lasers, JHEP 10 (2010) 022 [arXiv:1006.5579] [INSPIRE].

    Article  MATH  Google Scholar 

  54. B. Döbrich and H. Gies, High-Intensity Probes of Axion-Like Particles, arXiv:1010.6161 [INSPIRE].

  55. D. Tommasini, A. Ferrando, H. Michinel and M. Seco, Precision tests of QED and non-standard models by searching photon-photon scattering in vacuum with high power lasers, JHEP 11 (2009) 043 [arXiv:0909.4663] [INSPIRE].

    Article  ADS  Google Scholar 

  56. S. Villalba-Chávez and A. Di Piazza, Axion-induced birefringence effects in laser driven nonlinear vacuum interaction, JHEP 11 (2013) 136 [arXiv:1307.7935] [INSPIRE].

    Article  ADS  Google Scholar 

  57. S. Villalba-Chávez and C. Müller, Searching for minicharged particles via birefringence, dichroism and Raman spectroscopy of the vacuum polarized by a high-intensity laser wave, Annals Phys. 339 (2013) 460 [arXiv:1306.6456] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  58. S. Villalba-Chávez, Laser-driven search of axion-like particles including vacuum polarization effects, Nucl. Phys. B 881 (2014) 391 [arXiv:1308.4033] [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  59. http://www.eli-beams.eu/.

  60. http://www.xcels.iapras.ru/.

  61. T. Heinzl, B. Leifeld, K. U. Amthor, H. Schwoerer, R. Sauerbrey and A. Wipf, On the observation of vacuum birefringence, Opt. Comm. 267 (2006) 318 [hep-ph/0601076] [INSPIRE].

  62. B. King, P. Böhl and H. Ruhl, Interaction of photons traversing a slowly varying electromagnetic background, Phys. Rev. D 90 (2014) 065018 [arXiv:1406.4139] [INSPIRE].

    ADS  Google Scholar 

  63. A. Di Piazza, A.I. Milstein and C.H. Keitel, Photon splitting in a laser field, Phys. Rev. A 76 (2007) 032103 [arXiv:0704.0695] [INSPIRE].

    Article  ADS  Google Scholar 

  64. B. King, A. Di Piazza and C.H. Keitel, A matterless double slit, Nature Photon. 4 (2010) 92 [arXiv:1301.7038] [INSPIRE].

    Article  ADS  Google Scholar 

  65. K.Z. Hatsagortsyan and G.Y. Kryuchkyan, Bragg scattering of light in vacuum structured by strong periodic fields, Phys. Rev. Lett. 107 (2011) 053604.

    Article  ADS  Google Scholar 

  66. A. Di Piazza, C. Müller, K.Z. Hatsagortsyan and C.H. Keitel, Extremely high-intensity laser interactions with fundamental quantum systems, Rev. Mod. Phys. 84 (2012) 1177 [arXiv:1111.3886] [INSPIRE].

    Article  ADS  Google Scholar 

  67. J.S. Schwinger, On gauge invariance and vacuum polarization, Phys. Rev. 82 (1951) 664 [INSPIRE].

    Article  ADS  MathSciNet  MATH  Google Scholar 

  68. F. Hebenstreit, R. Alkofer, G.V. Dunne and H. Gies, Momentum signatures for Schwinger pair production in short laser pulses with sub-cycle structure, Phys. Rev. Lett. 102 (2009) 150404 [arXiv:0901.2631] [INSPIRE].

    Article  ADS  Google Scholar 

  69. I. Akal, S. Villalba-Chávez and C. Müller, Electron-positron pair production in a bifrequent oscillating electric field, Phys. Rev. D 90 (2014) 113004 [arXiv:1409.1806] [INSPIRE].

    ADS  Google Scholar 

  70. https://www.gsi.de/en/start/research/forschungsgebiete und experimente/ appa pni gesundheit/plasma physicsphelix/phelix.htm.

  71. C. Labaune et al., Fusion reactions initiated by laser-accelerated particle beams in a laser-produced plasma, Nat. Commun. 4 (2013) 2506 [arXiv:1310.2002] [INSPIRE].

    Article  Google Scholar 

  72. R.J. Rivers, Path integral methods in Quantum field theory, Cambridge University Press, U.S.A. (1987).

    Book  MATH  Google Scholar 

  73. S. Villalba-Chávez, R. Alkofer and K. Schwenzer, On the connection between Hamilton and Lagrange formalism in Quantum Field Theory, J. Phys. G 37 (2010) 085003 [arXiv:0807.2146] [INSPIRE].

    Article  ADS  Google Scholar 

  74. E.S. Fradkin, Quantum Field Theory and Hydrodynamics, Proceedings (Trudy) of the P.N. Lebedev Physics Institute. Vol. 29, Consultants Bureau, New York U.S.A. (1967).

  75. R. Alkofer and L. von Smekal, The Infrared behavior of QCD Green’s functions: Confinement dynamical symmetry breaking and hadrons as relativistic bound states, Phys. Rept. 353 (2001) 281 [hep-ph/0007355] [INSPIRE].

  76. V.N. Baıer, A.I. Mil’shte˘ın and V.M. Strakhovenko, Interaction between a photon and an intense electromagnetic wave, Sov. Phys. JETP 42 (1976) 961 [Zh. Eksp. Teo. Fiz. 69 (1975) 1893].

  77. I. Affleck, Photon propagation in a plane wave field, J. Phys. A 21 (1988) 693 [INSPIRE].

    ADS  Google Scholar 

  78. V. Dinu, T. Heinzl, A. Ilderton, M. Marklund and G. Torgrimsson, Vacuum refractive indices and helicity flip in strong-field QED, Phys. Rev. D 89 (2014) 125003 [arXiv:1312.6419] [INSPIRE].

    ADS  Google Scholar 

  79. S. Villalba-Chávez and C. Müller, Photo-production of scalar particles in the field of a circularly polarized laser beam, Phys. Lett. B 718 (2013) 992 [arXiv:1208.3595] [INSPIRE].

    Article  ADS  MATH  Google Scholar 

  80. W. Greiner and J. Reinhardt, Quantum Electrodynamics, Springer, Berlin Heidelberg (2009).

    MATH  Google Scholar 

  81. I.S. Gradshteyn and I.M. Ryzhik, Table of Integrals, Series and Products, seventh edition, Elsevier, San Diego (2007).

  82. V.N. Ba˘ıer, V.M. Katkov and V.M. Strakhovenko. Electromagnetic processes at high energies in oriented single crystals, World Scientific, Singapore (1998).

  83. W. Becker and H. Mitter, Vacuum polarization in laser fields, J. Phys. A 8 (1975) 1638.

    ADS  Google Scholar 

  84. K. Muroo, N. Ninomiya, M. Yoshino and Y. Takubo Measurement of the Cotton-Mouton constants of noble atoms, J. Opt. Soc. Am. B 20 (2003) 2249.

  85. http://www.hzdr.de/db/Cms?pNid=427&pOid=35325.

  86. J. Jaeckel, E. Masso, J. Redondo, A. Ringwald and F. Takahashi, We need lab experiments to look for axion-like particles, hep-ph/0605313 [INSPIRE].

  87. E. Masso and J. Redondo, Evading astrophysical constraints on axion-like particles, JCAP 09 (2005) 015 [hep-ph/0504202] [INSPIRE].

  88. J. Redondo and G. Raffelt, Solar constraints on hidden photons re-visited, JCAP 08 (2013) 034 [arXiv:1305.2920] [INSPIRE].

    Article  ADS  Google Scholar 

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  1. Institut für Theoretische Physik I, Heinrich Heine Universität Düsseldorf, Universitätsstr. 1, 40225, Düsseldorf, Germany

    S. Villalba-Chávez & C. Müller

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Villalba-Chávez, S., Müller, C. Light dark matter candidates in intense laser pulses I: paraphotons and fermionic minicharged particles. J. High Energ. Phys. 2015, 177 (2015). https://doi.org/10.1007/JHEP06(2015)177

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  • Received: 16 December 2014

  • Revised: 22 April 2015

  • Accepted: 16 May 2015

  • Published: 25 June 2015

  • DOI: https://doi.org/10.1007/JHEP06(2015)177

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