Skip to main content
Log in

New constraints on the pion EM form factor using \( \Pi^{{ \prime}}_{}\)(- Q2)

  • Regular Article - Theoretical Physics
  • Published:
The European Physical Journal A Aims and scope Submit manuscript

Abstract

We study the constraints arising on the expansion parameters c and d of the pion electromagnetic form factor from the inclusion of pure spacelike data and the phase of timelike data along with one spacelike datum, using as input the first derivative of the QCD polarization amplitude \( \Pi^{{ \prime}}_{}\)(- Q 2) . These constraints when combined with other analyses, provide a valuable check on a determination of c due to Guo et al. and on our previous work where pionic contribution to the (g - 2) of the muon was used as the input. This work further illustrates the power of analyticity techniques in form factor analysis.

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. H. Leutwyler, arXiv:hep-ph/0212324.

  2. B. Ananthanarayan, S. Ramanan, Eur. Phys. J. C 54, 461 (2008) (arXiv:0801.2023 [hep-ph]).

    Google Scholar 

  3. P. Masjuan, S. Peris, J.J. Sanz-Cillero, Phys. Rev. D 78, 074028 (2008) (arXiv:0807.4893 [hep-ph]).

  4. U. Raha, A. Aste, arXiv:0809.1359 [hep-ph].

  5. P.A. Boyle, JHEP 0807, 112 (2008) (arXiv:0804.3971 [hep-lat]).

  6. B. Ananthanarayan, S. Ramanan, Eur. Phys. J. C 60, 73 (2009) (arXiv:0811.0482 [hep-ph]).

  7. C.J. Bebek, Phys. Rev. D 9, 1229 (1974).

    Google Scholar 

  8. C.N. Brown, Phys. Rev. D 8, 92 (1973).

    Google Scholar 

  9. C.J. Bebek, Phys. Rev. D 13, 25 (1976).

    Google Scholar 

  10. NA7 Collaboration (S.R. Amendolia), Nucl. Phys. B 277, 168 (1986).

  11. Jefferson Lab F(pi) Collaboration (V. Tadevosyan), Phys. Rev. C 75, 055205 (2007) (arXiv:nucl-ex/0607007).

  12. I. Caprini, Eur. Phys. J. C 13, 471 (2000) (arXiv:hep-ph/9907227).

    Google Scholar 

  13. J. Bijnens, P. Talavera, JHEP 0203, 046 (2002) (arXiv:hep-ph/0203049).

  14. J. Gasser, U.G. Meissner, Nucl. Phys. B 357, 90 (1991).

    Google Scholar 

  15. F.K. Guo, C. Hanhart, F.J. Llanes-Estrada, U.G. Meissner, arXiv:0812.3270 [hep-ph].

  16. G. Colangelo, M. Finkemeier, R. Urech, Phys. Rev. D 54, 4403 (1996) (arXiv:hep-ph/9604279).

  17. D. Palmer, Phys. Rev. D 4, 1558 (1971).

  18. A.K. Raina, V. Singh, J. Phys. G 3, 315 (1977).

    Google Scholar 

  19. I. Raszillier, W. Schmidt, I.S. Stefanescu, Nucl. Phys. B 109, 452 (1976).

    Google Scholar 

  20. C. Bourrely, I. Caprini, Nucl. Phys. B 722, 149 (2005) (arXiv:hep-ph/0504016).

  21. F. Guerrero, A. Pich, Phys. Lett. B 412, 382 (1997) (arXiv:hep-ph/9707347).

  22. B. Ananthanarayan, G. Colangelo, J. Gasser, H. Leutwyler, Phys. Rep. 353, 207 (2001) (arXiv:hep-ph/0005297).

  23. G. Colangelo, J. Gasser, H. Leutwyler, Nucl. Phys. B 603, 125 (2001) (arXiv:hep-ph/0103088).

  24. T.N. Truong, arXiv:hep-ph/9809476.

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to B. Ananthanarayan.

Additional information

J. Bijnens

Rights and permissions

Reprints and permissions

About this article

Cite this article

Abbas, G., Ananthanarayan, B. & Ramanan, S. New constraints on the pion EM form factor using \( \Pi^{{ \prime}}_{}\)(- Q2). Eur. Phys. J. A 41, 93–100 (2009). https://doi.org/10.1140/epja/i2009-10802-x

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1140/epja/i2009-10802-x

PACS

Navigation