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η and η′ transition form factors from rational approximants

Rafel Escribano1,*, Pere Masjuan2,†, and Pablo Sanchez-Puertas2,‡

  • 1Grup de Física Teòrica (Departament de Física) and Institut de Física d’Altes Energies (IFAE), Universitat Autònoma de Barcelona, E-08193 Bellaterra (Barcelona), Spain
  • 2Institut für Kernphysik, Johannes Gutenberg-Universität, D-55099 Mainz, Germany

  • *rescriba@ifae.es
  • †Corresponding author. masjuan@kph.uni-mainz.de
  • ‡sanchezp@kph.uni-mainz.de
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Phys. Rev. D 89, 034014 – Published 10 February, 2014

DOI: https://doi.org/10.1103/PhysRevD.89.034014

Abstract

The η and η′ transition form factors in the spacelike region are analyzed at low and intermediate energies in a model-independent way through the use of rational approximants. The slope and curvature parameters of the form factors as well as their values at zero and infinity are extracted from experimental data. The impact of these results on the mixing parameters of the η-η′ system and the pseudoscalar-exchange contributions to the hadronic light-by-light scattering part of the anomalous magnetic moment aμ are also discussed.

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References (103)

  1. B. Aubert et al. (BABAR Collaboration), Phys. Rev. D 80, 052002 (2009).
  2. J. Bijnens, A. Bramon, and F. Cornet, Phys. Rev. Lett. 61, 1453 (1988).
  3. J. Bijnens, A. Bramon, and F. Cornet, Z. Phys. C 46, 599 (1990).
  4. L. Ametller, J. Bijnens, A. Bramon, and F. Cornet, Phys. Rev. D 45, 986 (1992).
  5. S. J. Brodsky and G. P. Lepage, Phys. Rev. D 24, 1808 (1981).
  6. H. Czyz, S. Ivashyn, A. Korchin, and O. Shekhovtsova, Phys. Rev. D 85, 094010 (2012).
  7. C. Hanhart, A. Kupść, U.-G. Meißner, F. Stollenwerk, and A. Wirzba, Eur. Phys. J. C 73, 2668 (2013).
  8. G. P. Lepage and S. J. Brodsky, Phys. Rev. D 22, 2157 (1980).
  9. T. Feldmann and P. Kroll, Eur. Phys. J. C 5, 327 (1998).
  10. P. Kroll, Eur. Phys. J. C 71, 1623 (2011).
  11. A. Dorokhov, A. Radzhabov, and A. Zhevlakov, Eur. Phys. J. C 71, 1702 (2011).
  12. S. J. Brodsky, F.-G. Cao, and G. F. de Teramond, Phys. Rev. D 84, 033001 (2011).
  13. S. J. Brodsky, F.-G. Cao, and G. F. de Teramond, Phys. Rev. D 84, 075012 (2011).
  14. Y. N. Klopot, A. G. Oganesian, and O. V. Teryaev, Phys. Rev. D 84, 051901 (2011).
  15. X.-G. Wu and T. Huang, Phys. Rev. D 84, 074011 (2011).
  16. C. Di Donato, G. Ricciardi, and I. Bigi, Phys. Rev. D 85, 013016 (2012).
  17. S. Noguera and S. Scopetta, Phys. Rev. D 85, 054004 (2012).
  18. I. Balakireva, W. Lucha, and D. Melikhov, Phys. Rev. D 85, 036006 (2012).
  19. D. Melikhov and B. Stech, Phys. Rev. D 85, 051901 (2012).
  20. D. Melikhov and B. Stech, Phys. Lett. B 718, 488 (2012).
  21. C.-Q. Geng and C.-C. Lih, Phys. Rev. C 86, 038201 (2012).
  22. Y. Klopot, A. Oganesian, and O. Teryaev, Phys. Rev. D 87, 036013 (2013).
  23. P. Kroll and K. Passek-Kumericki, J. Phys. G 40, 075005 (2013).
  24. T. Feldmann and P. Kroll, Phys. Rev. D 58, 057501 (1998).
  25. P. Masjuan, Phys. Rev. D 86, 094021 (2012).
  26. P. Masjuan, S. Peris, and J. Sanz-Cillero, Phys. Rev. D 78, 074028 (2008).
  27. J. L. Rosner, Phys. Rev. D 79, 097301 (2009).
  28. D. Babusci, H. Czyż, F. Gonnella, S. Ivashyn, M. Mascolo, R. Messi, D. Moricciani, A. Nyffeler, and G. Venanzoni, Eur. Phys. J. C 72, 1917 (2012).
  29. D. Asner et al., Int. J. Mod. Phys. A 24, 499 (2009).
  30. H. Czyz et al., arXiv:1306.2045.
  31. G. A. Baker and P. Graves-Morris, Pade Approximants, Encyclopedia of Mathematics and its Applications (Cambridge University Press, Cambridge, England, 1996).
  32. H. J. Behrend et al. (CELLO Collaboration), Z. Phys. C 49, 401 (1991).
  33. J. Gronberg et al. (CLEO Collaboration), Phys. Rev. D 57, 33 (1998).
  34. M. Acciarri et al. (L3 Collaboration), Phys. Lett. B 418, 399 (1998).
  35. P. del Amo Sanchez et al. (BABAR Collaboration), Phys. Rev. D 84, 052001 (2011).
  36. J. Beringer et al. (Particle Data Group), Phys. Rev. D 86, 010001 (2012).
  37. D. Babusci et al. (KLOE-2 Collaboration), J. High Energy Phys. 01 (2013) 119.
  38. B. Aubert et al. (BABAR Collaboration), Phys. Rev. D 74, 012002 (2006).
  39. L. Landsberg, Phys. Rep. 128, 301 (1985).
  40. P. Masjuan, E. R. Arriola, and W. Broniowski, Phys. Rev. D 85, 094006 (2012).
  41. P. Masjuan, E. Ruiz Arriola, and W. Broniowski, Phys. Rev. D 87, 014005 (2013).
  42. P. Masjuan, E. Ruiz Arriola, and W. Broniowski, Phys. Rev. D 87, 118502 (2013).
  43. P. Masjuan and S. Peris, J. High Energy Phys. 05 (2007) 040.
  44. P. Masjuan and S. Peris, Phys. Lett. B 663, 61 (2008).
  45. P. Masjuan and J. Sanz-Cillero, Eur. Phys. J. C 73, 2594 (2013).
  46. R. Dzhelyadin et al., Phys. Lett. 94B, 548 (1980).
  47. R. Arnaldi et al. (NA60 Collaboration), Phys. Lett. B 677, 260 (2009).
  48. H. Berghauser et al., Phys. Lett. B 701, 562 (2011).
  49. M. Hodana and P. Moskal (WASA-at-COSY Collaboration), Eur. Phys. J. Web Conf. 37, 09017 (2012).
  50. P. Aguar-Bartolome et al. (A2 Collaboration), arXiv:1309.5648.
  51. S. Uehara et al. (Belle Collaboration), Phys. Rev. D 86, 092007 (2012).
  52. A. Bramon, R. Escribano, and M. Scadron, Phys. Lett. B 403, 339 (1997).
  53. A. Bramon, R. Escribano, and M. Scadron, Eur. Phys. J. C 7, 271 (1999).
  54. T. Feldmann, P. Kroll, and B. Stech, Phys. Rev. D 58, 114006 (1998).
  55. T. Feldmann, P. Kroll, and B. Stech, Phys. Lett. B 449, 339 (1999).
  56. T. Feldmann, Int. J. Mod. Phys. A 15, 159 (2000).
  57. A. Bramon, R. Escribano, and M. Scadron, Phys. Lett. B 503, 271 (2001).
  58. A. Aloisio et al. (KLOE Collaboration), Phys. Lett. B 541, 45 (2002).
  59. R. Escribano and J.-M. Frere, J. High Energy Phys. 06 (2005) 029.
  60. F. Ambrosino et al. (KLOE Collaboration), Phys. Lett. B 648, 267 (2007).
  61. R. Escribano and J. Nadal, J. High Energy Phys. 05 (2007) 006.
  62. C. Thomas, J. High Energy Phys. 10 (2007) 026.
  63. R. Escribano, Eur. Phys. J. C 65, 467 (2010).
  64. F. Ambrosino et al., J. High Energy Phys. 07 (2009) 105.
  65. H. Leutwyler, Nucl. Phys. B, Proc. Suppl. 64, 223 (1998).
  66. C. Michael, K. Ottnad, and C. Urbach, Phys. Rev. Lett. 111, 181602 (2013).
  67. N. H. Christ, C. Dawson, T. Izubuchi, C. Jung, Q. Liu, R. D. Mawhinney, C. T. Sachrajda, A. Soni, and R. Zhou, Phys. Rev. Lett. 105, 241601 (2010).
  68. J. J. Dudek, R. G. Edwards, B. Joó, M. J. Peardon, D. G. Richards, and C. E. Thomas, Phys. Rev. D 83, 111502 (2011).
  69. J. Bijnens, E. Pallante, and J. Prades, Nucl. Phys. B474, 379 (1996).
  70. M. Hayakawa, T. Kinoshita, and A. Sanda, Phys. Rev. Lett. 75, 790 (1995).
  71. J. Bijnens, E. Pallante, and J. Prades, Nucl. Phys. B626, 410 (2002).
  72. M. Hayakawa and T. Kinoshita, Phys. Rev. D 57, 465 (1998).
  73. M. Knecht and A. Nyffeler, Phys. Rev. D 65, 073034 (2002).
  74. M. Knecht, A. Nyffeler, M. Perrottet, and E. de Rafael, Phys. Rev. Lett. 88, 071802 (2002).
  75. K. Melnikov and A. Vainshtein, Phys. Rev. D 70, 113006 (2004).
  76. A. E. Dorokhov and W. Broniowski, Phys. Rev. D 78, 073011 (2008).
  77. D. K. Hong and D. Kim, Phys. Lett. B 680, 480 (2009).
  78. J. Prades, E. de Rafael, and A. Vainshtein, arXiv:0901.0306.
  79. L. Cappiello, O. Cata, and G. D’Ambrosio, Phys. Rev. D 83, 093006 (2011).
  80. D. Greynat and E. de Rafael, J. High Energy Phys. 07 (2012) 020.
  81. T. Goecke, C. S. Fischer, and R. Williams, Phys. Rev. D 87, 034013 (2013).
  82. P. Masjuan and M. Vanderhaeghen, arXiv:1212.0357.
  83. J. Bijnens and M. Z. Abyaneh, Eur. Phys. J. Web Conf. 37, 01007 (2012).
  84. J. P. Miller, E. de Rafael, and B. L. Roberts, Rep. Prog. Phys. 70, 795 (2007).
  85. F. Jegerlehner and A. Nyffeler, Phys. Rep. 477, 1 (2009).
  86. A. Nyffeler, Phys. Rev. D 79, 073012 (2009).
  87. M. Davier, A. Hoecker, B. Malaescu, and Z. Zhang, Eur. Phys. J. C 71, 1 (2011).
  88. K. Hagiwara, R. Liao, A. D. Martin, D. Nomura, and T. Teubner, J. Phys. G 38, 085003 (2011).
  89. G. Bennett et al. (Muon g-2 Collaboration), Phys. Rev. Lett. 92, 161802 (2004).
  90. G. Bennett et al. (Muon G-2 Collaboration), Phys. Rev. D 73, 072003 (2006).
  91. R. Carey et al. (unpublished).
  92. G. ’t Hooft, Nucl. Phys. B72, 461 (1974).
  93. E. Witten, Nucl. Phys. B160, 57 (1979).
  94. E. de Rafael, Phys. Lett. B 322, 239 (1994).
  95. S. Peris, M. Perrottet, and E. de Rafael, J. High Energy Phys. 05 (1998) 011.
  96. P. Masjuan Queralt, Ph.D. thesis, Universitat Autònoma de Barcelona, 2010, arXiv:1005.5683.
  97. C. Pommerenke, J. Math. Anal. Appl. 41, 775 (1973).
  98. P. Masjuan and S. Peris, Phys. Lett. B 686, 307 (2010).
  99. E. Ruiz Arriola and W. Broniowski, Phys. Rev. D 81, 054009 (2010).
  100. E. R. Arriola, W. Broniowski, and P. Masjuan, Acta Phys. Pol. B Proc. Suppl. 6, 95 (2013).
  101. E. Ruiz Arriola and W. Broniowski, Phys. Rev. D 74, 034008 (2006).
  102. E. Ruiz Arriola and W. Broniowski, Phys. Rev. D 81, 094021 (2010).
  103. K. Kampf and J. Novotny, Phys. Rev. D 84, 014036 (2011).

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Phys. Rev. D 89, 034014– Published 10 February, 2014
  • Received 5 December 2013

© 2014 American Physical Society

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