Skip to main content
SpringerLink
Log in

Kaon semi-leptonic form factor at zero momentum transfer in finite volume

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

Abstract

Using Chiral Perturbation Theory, we obtain the kaon semi-leptonic vector form factor in finite volume at a generic momentum transfer, q 2, up to one-loop order. At first we confirm the lattice observation that the contribution of the heavy pseudo-Goldstone boson in the finite-volume corrections at zero momentum transfer is unimportant. We then evaluate the form factor at q 2 = 0 numerically and compare our results with the present lattice data. It turns out that our ChPT results are comparable with the lattice data to some extent. The formula for the finite-volume corrections obtained for the form factor at momentum transfer q 2 provides a tool for lattice data in order to extrapolate at large lattice size.

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

Access this article

Log in via an institution

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

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

References

  1. P.A. Boyle, J.M. Flynn, N. Garron, A. Jüttner, C.T. Sachrajda, K. Sivalingam, J.M. Zanotti, JHEP 08, 132 (2013) arXiv:1305.7217 [hep-lat].

    Article  ADS  Google Scholar 

  2. A. Bazavov, C. Bernard, C.M. Bouchard, C. DeTar, D. Du, A.X. El-Khadra, J. Foley, E.D. Freeland et al., Phys. Rev. D 87, 073012 (2013) arXiv:1212.4993 [hep-lat].

    Article  ADS  Google Scholar 

  3. JLQCD Collaboration (T. Kaneko et al.), PoS LATTICE 2012, 111 (2012) arXiv:1211.6180 [hep-lat].

    Google Scholar 

  4. A.S. Kronfeld, arXiv:1203.1204 [hep-lat].

  5. H. Na, C.T.H. Davies, E. Follana, J. Koponen, G.P. Lepage, J. Shigemitsu, Phys. Rev. D 84, 114505 (2011) arXiv:1109.1501 [hep-lat].

    Article  ADS  Google Scholar 

  6. RBC-UKQCD Collaboration (P.A. Boyle et al.), Eur. Phys. J. C 69, 159 (2010) arXiv:1004.0886 [hep-lat].

    Article  ADS  Google Scholar 

  7. P.A. Boyle, A. Juttner, R.D. Kenway, C.T. Sachrajda, S. Sasaki, A. Soni, R.J. Tweedie, J.M. Zanotti, Phys. Rev. Lett. 100, 141601 (2008) arXiv:0710.5136 [hep-lat].

    Article  ADS  Google Scholar 

  8. ETM Collaboration (V. Lubicz et al.), Phys. Rev. D 80, 111502 (2009) arXiv:0906.4728 [hep-lat].

    Article  ADS  Google Scholar 

  9. C. Dawson, T. Izubuchi, T. Kaneko, S. Sasaki, A. Soni, Phys. Rev. D 74, 114502 (2006) hep-ph/0607162.

    Article  ADS  Google Scholar 

  10. G. Colangelo, S. Durr, A. Juttner, L. Lellouch, H. Leutwyler, V. Lubicz, S. Necco, C.T. Sachrajda et al., Eur. Phys. J. C 71, 1695 (2011) arXiv:1011.4408 [hep-lat].

    Article  ADS  Google Scholar 

  11. N. Cabibbo, Phys. Rev. Lett. 10, 531 (1963).

    Article  ADS  Google Scholar 

  12. M. Kobayashi, T. Maskawa, Prog. Theor. Phys. 49, 652 (1973).

    Article  ADS  Google Scholar 

  13. Particle Data Group Collaboration (J. Beringer et al.), Phys. Rev. D 86, 010001 (2012).

    Article  ADS  Google Scholar 

  14. J. Gasser, H. Leutwyler, Nucl. Phys. B 250, 517 (1985).

    Article  ADS  Google Scholar 

  15. J. Bijnens, P. Talavera, Nucl. Phys. B 669, 341 (2003).

    Article  ADS  Google Scholar 

  16. M. Jamin, J.A. Oller, A. Pich, JHEP 02, 047 (2004) hep-ph/0401080.

    Article  ADS  Google Scholar 

  17. V. Cirigliano, G. Ecker, M. Eidemuller, R. Kaiser, A. Pich, J. Portoles, JHEP 04, 006 (2005) hep-ph/0503108.

    Article  ADS  Google Scholar 

  18. J. Bijnens, K. Ghorbani, arXiv:0711.0148 [hep-ph].

  19. H. Leutwyler, M. Roos, Z. Phys. C 25, 91 (1984).

    Article  ADS  Google Scholar 

  20. A. Bazavov, C. Bernard, C.M. Bouchard, C. DeTar, D. Du, A.X. El-Khadra, J. Foley, E.D. Freeland, arXiv:1212.4993 [hep-lat].

  21. K. Ghorbani, M.M. Yazdanpanah, A. Mirjalili, Eur. Phys. J. C 71, 1671 (2011) arXiv:1012.2733 [hep-ph].

    Article  ADS  Google Scholar 

  22. G. Colangelo, C. Haefeli, Nucl. Phys. B 744, 14 (2006) arXiv:hep-lat/0602017.

    Article  ADS  Google Scholar 

  23. G. Colangelo, S. Durr, C. Haefeli, Nucl. Phys. B 721, 136 (2005) arXiv:hep-lat/0503014.

    Article  ADS  MATH  Google Scholar 

  24. G. Colangelo, C. Haefeli, Phys. Lett. B 590, 258 (2004).

    Article  ADS  Google Scholar 

  25. J. Bijnens, K. Ghorbani, Phys. Lett. B 636, 51 (2006).

    Article  ADS  Google Scholar 

  26. T. Bunton, F.-J. Jiang, B. Tiburzi, Phys. Rev. D 74, 034514 (2006) arXiv:hep-lat/0607001 [hep-lat].

    Article  ADS  Google Scholar 

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

    Article  ADS  Google Scholar 

  28. J. Gasser, H. Leutwyler, Ann. Phys. 158, 142 (1984).

    Article  MathSciNet  ADS  Google Scholar 

  29. J. Gasser, H. Leutwyler, Nucl. Phys. B 250, 465 (1985).

    Article  ADS  Google Scholar 

  30. J. Gasser, H. Leutwyler, Phys. Lett. B 184, 83 (1987).

    Article  ADS  Google Scholar 

  31. J. Gasser, H. Leutwyler, Phys. Lett. B 188, 477 (1987).

    Article  ADS  Google Scholar 

  32. J. Gasser, H. Leutwyler, Nucl. Phys. B 307, 763 (1988).

    Article  ADS  Google Scholar 

  33. K. Ghorbani, arXiv:1112.0729 [hep-ph].

Download references

Author information

Authors and Affiliations

  1. Physics Department, Faculty of Sciences, Arak University, 38156-8-8349, Arak, Iran

    Karim Ghorbani

  2. School of Particles and Accelerators, Institute for Research in Fundamental Sciences (IPM), P.O. Box 19395-5531, Tehran, Iran

    Hossein Ghorbani

Authors
  1. Karim Ghorbani
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Hossein Ghorbani
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to Karim Ghorbani.

Additional information

Communicated by H. Wittig

Rights and permissions

Reprints and permissions

About this article

Cite this article

Ghorbani, K., Ghorbani, H. Kaon semi-leptonic form factor at zero momentum transfer in finite volume. Eur. Phys. J. A 49, 134 (2013). https://doi.org/10.1140/epja/i2013-13134-4

Download citation

  • Received:

  • Revised:

  • Accepted:

  • Published:

  • DOI: https://doi.org/10.1140/epja/i2013-13134-4

Keywords

Search

Navigation