Skip to main content
Log in

The Dalitz decay π0e + e γ revisited

  • Theoretical Physics
  • Published:
The European Physical Journal C - Particles and Fields Aims and scope Submit manuscript

Abstract.

The amplitude of the Dalitz decay π0e + e γ is studied and its model-independent properties are discussed in detail. A calculation of radiative corrections is performed within the framework of two-flavor chiral perturbation theory, enlarged by virtual photons and leptons. The lowest meson dominance approximation, motivated by large N C considerations, is used for the description of the π0 –γ*–γ* transition form factor and for the estimate of the NLO low energy constants involved in the analysis. The two photon reducible contributions are included and discussed. Previous calculations are extended to the whole kinematical range of the soft photon approximation, thus allowing for the possibility to consider various experimental situations and observables.

This is a preview of subscription content, log in via an institution to check access.

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Similar content being viewed by others

References

  1. S. Eidelman et al. [Particle Data Group Collaboration] Phys. Lett. B 592, 1 (2004)

    Google Scholar 

  2. R.H. Dalitz, Proc. Phys. Soc. (London) A 64, 667 (1951)

    Article  ADS  Google Scholar 

  3. R.H. Dalitz, Historical Remark On π0 → γe + e Decay\/, in Bristol 1987, Proceedings, 40 years of particle physics, 105-108

  4. H. Fonvieille, Phys. Lett. B 233, 65 (1989)

    Article  ADS  Google Scholar 

  5. F. Farzanpay, Phys. Lett. B 278, 413 (1992)

    Article  ADS  Google Scholar 

  6. R. Meijer Drees [SINDRUM-I Collaboration], Phys. Rev. D 45, 1439 (1992)

    Article  Google Scholar 

  7. H.J. Behrend [CELLO Collaboration], Z. Phys. C 49, 401 (1991)

    Article  Google Scholar 

  8. J. Gronberg [CLEO Collaboration], Phys. Rev. D 57, 33 (1998)

    Article  Google Scholar 

  9. A. Gasparian [PrimEx Collaboration], Precision Measurements of the Electromagnetic Properties of Pseudoscalar Mesons at 11 GeV via the Primakoff Effect, 2000

  10. E. Hadjimichael, S. Fallieros, Phys. Rev. C 39, 1355 (1989)

    Article  Google Scholar 

  11. D. Joseph, Nuovo Cimento 16, 997 (1960)

    Article  Google Scholar 

  12. B.E. Lautrup, J. Smith, Phys. Rev. D 3, 1122 (1971)

    Article  ADS  Google Scholar 

  13. K.O. Mikaelian, J. Smith, Phys. Rev. D 5, 1763 (1972); D 5, 2890 (1972)

    Article  ADS  Google Scholar 

  14. G.B. Tupper, T.R. Grose, M.A. Samuel, Phys. Rev. D 28, 2905 (1983); M. Lambin, J. Pestieau, Phys. Rev. D 31, 211 (1985); L. Roberts, J. Smith, Phys. Rev. D 33, 3457 (1986); D.S. Beder, Phys. Rev. D 34, 2071 (1986)

    Article  ADS  Google Scholar 

  15. G. Tupper, Phys. Rev. D 35, 1726 (1987)

    Article  ADS  Google Scholar 

  16. S. Weinberg, Physica A 96, 327 (1979)

    Article  ADS  Google Scholar 

  17. J. Gasser, H. Leutwyler, Ann. Phys. 158, 142 (1984); Nucl. Phys. B 250, 465 (1985)

    Article  MathSciNet  ADS  Google Scholar 

  18. H. Leutwyler, Ann. Phys. 235, 165 (1994) [hep-ph/9311274]

    Article  ADS  MathSciNet  Google Scholar 

  19. J.F. Donoghue, B.R. Holstein, Y.C.R. Lin, Phys. Rev. Lett. 55, 2766 (1985); J.F. Donoghue, D. Wyler, Nucl. Phys. B 316, 289 (1989); J. Bijnens, A. Bramon, F. Cornet, Phys. Rev. Lett. 61, 1453 (1988); J. Bijnens, Int. J. Mod. Phys. A 8, 3045 (1993)

    Article  ADS  Google Scholar 

  20. R. Urech, Nucl. Phys. B 433, 234 (1995)

    Article  ADS  Google Scholar 

  21. H. Neufeld, H. Rupertsberger, Z. Phys. C 68, 91 (1995); Z. Phys. C 71, 131 (1996)

    Article  MathSciNet  ADS  Google Scholar 

  22. M. Knecht, A. Nyffeler, M. Perrottet, E. de Rafael, Phys. Rev. Lett. 88, 071802 (2002) [hep-ph/0111059]

    Article  ADS  Google Scholar 

  23. M. Knecht, H. Neufeld, H. Rupertsberger, P. Talavera, Eur. Phys. J. C 12, 469 (2000) [hep-ph/9909284]

    Article  ADS  Google Scholar 

  24. M. Knecht, R. Urech, Nucl. Phys. B 519, 329 (1998)

    Article  ADS  Google Scholar 

  25. U.-G. Meißner, G. Müller, S. Steininger, Phys. Lett. B 406, 154 (1997); Phys. Lett. B 407, 454(E) (1997)

    Article  ADS  Google Scholar 

  26. M. Knecht, S. Peris, M. Perrottet, E. de Rafael, Phys. Rev. Lett. 83, 5230 (1999) [hep-ph/9908283]

    Article  ADS  Google Scholar 

  27. M. Knecht, A. Nyffeler, Eur. Phys. J. C 21, 659 (2001) [hep-ph/0106034]

    ADS  Google Scholar 

  28. B. Moussallam, Nucl. Phys. B 504, 381 (1997) [hep-ph/9701400]

    Article  ADS  Google Scholar 

  29. K. Kampf, M. Knecht, J. Novotný, hep-ph/0212243

  30. K. Kampf, J. Novotný, Acta Phys. Slov. 52, 265 (2002) [hep-ph/0210074]

    Google Scholar 

  31. J.S. Ball, T.-W. Chiu, Phys. Rev. D 22, 2542 (1980)

    Article  ADS  Google Scholar 

  32. A. Kizilersu, M. Reenders, M.R. Pennington, Phys. Rev. D 52, 1242 (1995) [hep-ph/9503238]

    Article  ADS  Google Scholar 

  33. K.G. Wilson, Phys. Rev. 179, 1499 (1969)

    Article  ADS  MathSciNet  Google Scholar 

  34. M.A. Shifman, A.I. Vainshtein, V.I. Zakharov, Nucl. Phys. B 147, 385 (1979)

    Article  ADS  Google Scholar 

  35. M.J. Savage, M.E. Luke, M.B. Wise, Phys. Lett. B 291, 481 (1992) [hep-ph/9207233]

    Article  ADS  Google Scholar 

  36. F.E. Low, Phys. Rev. 110, 974 (1958); S.L. Adler, Y. Dothan, Phys. Rev. 151, 1267 (1966); J. Pestieau, Phys. Rev. 160, 1555 (1967)

    Article  ADS  MATH  Google Scholar 

  37. R. Baur, R. Urech, Nucl. Phys. B 499, 319 (1997) [hep-ph/9612328]; J. Bijnens, J. Prades, Nucl. Phys. B 490, 239 (1997) [hep-ph/9610360]

    Article  ADS  Google Scholar 

  38. B. Ananthanarayan, B. Moussallam, JHEP 0406, 047 (2004) [hep-ph/0405206]

    Article  ADS  MathSciNet  Google Scholar 

  39. B. Ananthanarayan, B. Moussallam, JHEP 0205, 052 (2002) [hep-ph/0205232]

    Article  ADS  Google Scholar 

  40. T.F. Walsh, P.M. Zerwas, Nucl. Phys. B 41, 551 (1972); N.S. Craigie, J. Stern, Nucl. Phys. B 216, 209 (1983); A.V. Radyushkin, R.T. Ruskov, Nucl. Phys. B 481, 625 (1996) [hep-ph/9603408]; N.F. Nasrallah, Phys. Rev. D 63, 054028 (2001) [hep-ph/0005017]

    Article  ADS  Google Scholar 

  41. G.P. Lepage, S.J. Brodsky, Phys. Lett. B 87, 359 (1979); Phys. Rev. D 22, 2157 (1980); S.J. Brodsky, G.P. Lepage, Phys. Rev. D 24, 1808 (1981)

    Article  ADS  Google Scholar 

  42. K. Melnikov, A. Vainshtein, Phys. Rev. D 70, 113006 (2004) [hep-ph/0312226]

    Article  ADS  Google Scholar 

  43. V.A. Novikov, M.A. Shifman, A.I. Vainshtein, M.B. Voloshin, V.I. Zakharov, Nucl. Phys. B 237, 525 (1984); V.A. Nesterenko, A.V. Radyushkin, Sov. J. Nucl. Phys. 38, 284 (1983) [Yad. Fiz. 38, 476 (1983)]

    Article  ADS  Google Scholar 

  44. R. Kaiser, Phys. Rev. D 63, 076010 (2001) [hep-ph/0011377]

    Article  ADS  Google Scholar 

  45. H.W. Fearing, S. Scherer, Phys. Rev. D 53, 315 (1996) [hep-ph/9408346]; T. Ebertshauser, H.W. Fearing, S. Scherer, Phys. Rev. D 65, 054033 (2002) [hep-ph/0110261]

    Article  ADS  Google Scholar 

  46. J. Bijnens, L. Girlanda, P. Talavera, Eur. Phys. J. C 23, 539 (2002) [hep-ph/0110400]

    Article  ADS  Google Scholar 

  47. G. Ecker, J. Gasser, A. Pich, E. de Rafael, Nucl. Phys. B 321, 311 (1989)

    Article  ADS  Google Scholar 

  48. B. Moussallam, Phys. Rev. D 51, 4939 (1995) [hep-ph/9407402]

    Article  ADS  Google Scholar 

  49. G. Passarino, M.J.G. Veltman, Nucl. Phys. B 160, 151 (1979)

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to K. Kampf.

Additional information

Centre de Physique Théorique: Unité mixte de recherche (UMR 6207) du CNRS et des universités Aix-Marseille I, Aix-Marseille II, et du Sud Toulon-Var; laboratoire affilié á la FRUMAM (FR 2291).

Rights and permissions

Reprints and permissions

About this article

Cite this article

Kampf, K., Knecht, M. & Novotný, J. The Dalitz decay π0e + e γ revisited. Eur. Phys. J. C 46, 191–217 (2006). https://doi.org/10.1140/epjc/s2005-02466-7

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epjc/s2005-02466-7

Keywords

Navigation