Skip to main content
SpringerLink
Log in

Light-by-Light Hadronic Corrections to the Muon G-2 Problem Within the Nonlocal Chiral Quark Model

  • Published:
Russian Physics Journal Aims and scope

Results of calculation of the light-by-light contribution from the lightest neutral pseudoscalar and scalar mesons and the dynamical quark loop to the muon anomalous magnetic moment are discussed in the framework of the nonlocal SU(3) × SU(3) chiral quark model. The model is based on four-quark interaction of the Nambu–Jona–Lasinio type and Kobayashi–Maskawa–‘t Hooft six-quark interaction. The full kinematic dependence of vertices with off-shell mesons and photons in intermediate states in the light-by-light scattering amplitude is taken into account. All calculations are elaborated in explicitly gauge-invariant manner. These results complete calculations of all hadronic light-by-light scattering contributions to aμ in the leading order in the 1/Nc expansion. The final result does not allow the discrepancy between the experiment and the Standard Model to be explained.

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. M. E. Peskin and D. V. Schroeder, An Introduction to Quantum Field Theory, Addison-Wesley Publishing Co. (1996).

  2. V. B. Berestetskii, O. N. Krokhin, and A. K. Khlebnikov, J. Eksp. Teor. Phys., 5, 761 (1956).

    Google Scholar 

  3. S. J. Brodsky and E. De Rafael, Phys. Rev., 168, 1620 (1968).

    Article  ADS  Google Scholar 

  4. G. Bennett et al., Phys. Rev., D73, 072003 (2006) [hep-ex/0602035].

    ADS  Google Scholar 

  5. G. Venanzoni, J. Phys. Conf. Ser., 349, 012008 (2012).

    Article  Google Scholar 

  6. N. Saito, AIP Conf. Proc., 1467, 45 (2012).

    Article  ADS  Google Scholar 

  7. A. Dorokhov, A. Radzhabov, and M. Volkov, Eur. Phys. J., A21, 155 (2004) [hep-ph/0311359].

    Article  ADS  Google Scholar 

  8. A. E. Dorokhov and W. Broniowski, Phys. Rev., D78, 073011 (2008).

    ADS  Google Scholar 

  9. A. E. Dorokhov, A. E. Radzhabov, and A. S. Zhevlakov, Eur. Phys. J., C71, 1702 (2011).

    Article  ADS  Google Scholar 

  10. A. E. Dorokhov, A. E. Radzhabov, and A. S. Zhevlakov, Eur. Phys. J., C72, 2227 (2012).

    Article  ADS  Google Scholar 

  11. A. E. Dorokhov, A. E. Radzhabov, and A. S. Zhevlakov, JETP Lett., 100, 133 (2014).

    Article  ADS  Google Scholar 

  12. A. E. Dorokhov, A. E. Radzhabov, and A. S. Zhevlakov, Eur. Phys. J., C75, 417 (2015).

    Article  ADS  Google Scholar 

  13. C. S. Fischer, T. Goecke, and R. Williams, Eur. Phys. J., A47, 28 (2011).

    Article  ADS  Google Scholar 

  14. D. Greynat and E. de Rafael, J. High Energy Phys., No. 07, 020 (2012).

  15. M. Davier, A. Hoecker, B. Malaescu, and Z. Zhang, Eur. Phys. J., C71, 1515 (2011).

    ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Joint Institute for Nuclear Research, Bogoliubov Laboratory of Theoretical Physics, Dubna, Moscow Region, Russia

    A. E. Dorokhov

  2. National Research Tomsk State University, Tomsk, Russia

    A. E. Dorokhov & A. S. Zhevlakov

  3. Moscow State University, Institute for Theoretical Problems of Microphysics, Moscow, Russia

    A. E. Dorokhov

  4. Institute for System Dynamics and Control Theory SB RAS, Irkutsk, Russia

    A. E. Radzhabov

Authors
  1. A. E. Dorokhov
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. A. E. Radzhabov
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. A. S. Zhevlakov
    View author publications

    You can also search for this author in PubMed Google Scholar

Corresponding author

Correspondence to A. E. Dorokhov.

Additional information

Translated from Izvestiya Vysshikh Uchebnykh Zavedenii, Fizika, No. 11, pp. 99–102, November, 2016.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Dorokhov, A.E., Radzhabov, A.E. & Zhevlakov, A.S. Light-by-Light Hadronic Corrections to the Muon G-2 Problem Within the Nonlocal Chiral Quark Model. Russ Phys J 59, 1842–1845 (2017). https://doi.org/10.1007/s11182-017-0984-z

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s11182-017-0984-z

Keywords

Search

Navigation