Skip to main content
Log in

The Decay τ → (π, π′)ν τ in the Nambu–Jona-Lasinio model

  • Physics of Elementary Particles and Atomic Nuclei. Theory
  • Published:
Physics of Particles and Nuclei Letters Aims and scope Submit manuscript

Abstract

In the Nambu—Jona-Lasinio model the decay widths τ → (π, π′(1300))ντ were calculated. For the calculation of the decay width τ → πντ the standard NJL model was used with taking into account the intermediate axial-vector meson and the extended Nambu–Jona-Lasinio model with the intermediate a 1(1260) and a1 (1640) mesons. These results are in good agreement with each other. For the calculation of the decay width τ → π′ντ extended Nambu–Jona-Lasinio model was used. The results are in satisfactory agreement with the experimental data. Numerical estimates for the constant F π and F π′ are also in satisfactory agreement with both the experimental values for F π and the results obtained by calculations on the lattice.

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. M. K. Volkov and D. G. Kostunin, “τ→ ππ0ντ decay in the extended NJL model,” Phys. Part. Nucl. Lett. 10, 7 (2013).

    Article  Google Scholar 

  2. M. K. Volkov, A. B. Arbuzov, and D. G. Kostunin, “The decay τ → πων in the extended NJL model,” Phys. Rev. D 86, 057301 (2012).

    Article  ADS  Google Scholar 

  3. M. K. Volkov, A. B. Arbuzov, and D. G. Kostunin, “The e+e→ ŋ(ŋ′)2π process in the extended Nambu–JonaLasinio model,” Phys.Rev. C 89, 015202 (2014).

    Article  ADS  Google Scholar 

  4. M. K. Volkov and D. G. Kostunin, “The decay ρ- → ŋπ- and τ→ ŋ(ŋ′)π-ν,” Phys. Rev. D 86, 013005 (2012).

    Article  ADS  Google Scholar 

  5. M. K. Volkov and C. Weiss, “A chiral lagrangian for excited pions,” Phys. Rev. D: Part. Fields 56, 221–229 (1997).

    Article  ADS  Google Scholar 

  6. M. K. Volkov, “Excited pseudoscalar and vector mesons in the U(3) × U(3) chiral model,” Phys. At. Nucl. 60, 2094–2103 (1997).

    Google Scholar 

  7. M. K. Volkov, D. Ebert, and M. Nagy, “Excited pions, ρ–and ω–mesons and their decays in a chiral SU(2) × SU(2) lagrangian,” Int. J. Mod. Phys. A 13, 5443 (1998).

    Article  ADS  Google Scholar 

  8. M. K. Volkov and A. E. Radzhabov, “The Nambu–Jona-Lasinio model and its development,” Phys. Usp. 49, 551 (2006).

    Article  ADS  Google Scholar 

  9. N. Paver and Riazuddin, “On meson dominance in the “second” class τ → ŋπντ decay,” Phys. Rev. D 82, 057301 (2012).

    Article  ADS  Google Scholar 

  10. N. Paver and Riazuddin, “On meson branchingratio of the “second” class τ → ŋ′πντ decay,” Phys. Rev. D 84, 017302 (2011).

    Article  ADS  Google Scholar 

  11. Z. H. Guo and P. Roig, “One meson radiative tau decays,” Phys. Rev. D: Part. Fields 82, 113016 (2010).

    Article  ADS  Google Scholar 

  12. A. Guevara, G. Lopez Castro, and P. Roig, “The weak radiative pion vertex in τ- → π-ντℓ+- Decays,” Phys. Rev. D: Part. Fields 88, 033007 (2013).

    Article  ADS  Google Scholar 

  13. L. B. Okun, Leptons and Quarks (Nauka, Moscow, 1989; World Scientific, Singapore, 2014).

    Google Scholar 

  14. K. A. Olive et al. (Particle Data Group Collab.), Chin. Phys. C 38, 090001 (2014).

    Google Scholar 

  15. M. K. Volkov, “Low-energy meson physics in the quark model of superconductivity type,” Sov. J. Part. Nucl. 17, 186 (1986).

    Google Scholar 

  16. D. N. Asner et al., “Hadronic structure in the decay τ- → ντπ0π0 and the sign of the tau neutrino helicity,” Phys. Rev. D 61, 012002 (1999).

    Article  ADS  Google Scholar 

  17. K. Maltman and J. Kambar, “Decay constants, light quark masses, and quark mass bounds from light quark pseudoscalar sum rules,” Phys. Rev. D: Part. Fields 65, 074013 (2002).

    Article  ADS  Google Scholar 

  18. A. V. Vishneva and M. K. Volkov, “Radially excited axial-vector mesons in the extended Nambu–JonaLasinio model,” Int. J. Mod. Phys. A 29, 1450125 (2014).

    Article  ADS  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to A. I. Ahmadov.

Additional information

The article is published in the original.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Ahmadov, A.I., Volkov, M.K. The Decay τ → (π, π′)ν τ in the Nambu–Jona-Lasinio model. Phys. Part. Nuclei Lett. 12, 744–750 (2015). https://doi.org/10.1134/S1547477115060023

Download citation

  • Received:

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1134/S1547477115060023

Keywords

Navigation