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The second-class current decays $τ \to π η (η^{'}) ν_{τ}$ in the NJL model including the interaction of mesons in the final state

M. K. Volkov

Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow region, Russia

E-mail Address: volkov@theor.jinr.ru

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K. Nurlan

Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow region, Russia

The Institute of Nuclear Physics, Ministry of Energy of the Republic of Kazakhstan, Almaty, 050032, Kazakhstan

Al-Farabi Kazakh National University, Almaty, 050040, Kazakhstan

E-mail Address: nurlan@theor.jinr.ru

Corresponding author.

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, and

A. A. Pivovarov

Bogoliubov Laboratory of Theoretical Physics, JINR, 141980 Dubna, Moscow region, Russia

E-mail Address: tex_k@mail.ru

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https://doi.org/10.1142/S0217751X21502092Cited by:1 (Source: Crossref)

Abstract

The effect of the interaction of mesons in the final state is additionally considered within the description of $τ \to π η (η^{'}) ν_{τ}$ decays. This interaction is taken into account at the level of production of intermediate pions. One of them, in turn, might be transited into $η$ or $η^{'}$ mesons. Our results do not exceed the experimentally established branching fractions, and they are in agreement with the results of other theoretical studies.

Keywords:

PACS: 13.35.Dx, 12.39.Fe

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References

1. S. Weinberg , Phys. Rev. 112, 1375 (1958). Crossref, Web of Science, ADS, Google Scholar
2. CLEO Collab. (M. Artuso et al.), Phys. Rev. Lett. 69, 3278 (1992). Crossref, Web of Science, Google Scholar
3. CLEO Collab. (J. E. Bartelt et al.), Phys. Rev. Lett. 76, 4119 (1996). Crossref, Web of Science, Google Scholar
4. ALEPH Collab. (D. Buskulic et al.), Z. Phys. C 74, 263 (1997). Crossref, Google Scholar
5. BaBar Collab. (B. Aubert et al.), Phys. Rev. D 77, 112002 (2008). Crossref, Web of Science, Google Scholar
6. BaBar Collab. (P. del Amo Sanchez et al.), Phys. Rev. D 83, 032002 (2011). Crossref, Web of Science, Google Scholar
7. BaBar Collab. (J. P. Lees et al.), Phys. Rev. D 86, 092010 (2012). Crossref, Web of Science, Google Scholar
8. Belle Collab. (K. Inami et al.), Phys. Lett. B 672, 209 (2009). Crossref, Web of Science, ADS, Google Scholar
9. Belle Collab. (K. Hayasaka ), PoS EPS-HEP2009, 374 (2009). Google Scholar
10. Belle-II Collab. (K. Ogawa et al.), PoS Beauty2019, 061 (2020). Google Scholar
11. A. Bramon, S. Narison and A. Pich , Phys. Lett. B 196, 543 (1987). Crossref, Web of Science, ADS, Google Scholar
12. H. Neufeld and H. Rupertsberger , Z. Phys. C 68, 91 (1995). Crossref, ADS, Google Scholar
13. S. Nussinov and A. Soffer , Phys. Rev. D 78, 033006 (2008). Crossref, Web of Science, ADS, Google Scholar
14. S. Nussinov and A. Soffer , Phys. Rev. D 80, 033010 (2009). Crossref, Web of Science, ADS, Google Scholar
15. N. Paver and Riazuddin , Phys. Rev. D 82, 057301 (2010). Crossref, Web of Science, ADS, Google Scholar
16. N. Paver and Riazuddin , Phys. Rev. D 84, 017302 (2011). Crossref, Web of Science, ADS, Google Scholar
17. S. Descotes-Genon and B. Moussallam , Eur. Phys. J. C 74, 2946 (2014). Crossref, Web of Science, ADS, Google Scholar
18. R. Escribano, S. Gonzalez-Solis and P. Roig , Phys. Rev. D 94, 034008 (2016). Crossref, Web of Science, ADS, Google Scholar
19. G. Hernández-Tomé, G. López Castro and P. Roig , Phys. Rev. D 96, 053003 (2017). Crossref, Web of Science, ADS, Google Scholar
20. E. A. Garcés, M. Hernández Villanueva, G. López Castro and P. Roig , J. High Energy Phys. 12, 027 (2017). Crossref, Web of Science, ADS, Google Scholar
21. M. K. Volkov and D. G. Kostunin , Phys. Rev. D 86, 013005 (2012). Crossref, Web of Science, ADS, Google Scholar
22. M. K. Volkov , Sov. J. Part. Nucl. 17, 186 (1986). Google Scholar
23. D. Ebert and H. Reinhardt , Nucl. Phys. B 271, 188 (1986). Crossref, Web of Science, ADS, Google Scholar
24. U. Vogl and W. Weise , Prog. Part. Nucl. Phys. 27, 195 (1991). Crossref, Web of Science, ADS, Google Scholar
25. S. P. Klevansky , Rev. Mod. Phys. 64, 649 (1992). Crossref, Web of Science, ADS, Google Scholar
26. M. K. Volkov , Phys. Part. Nucl. 24, 35 (1993). Google Scholar
27. M. K. Volkov and C. Weiss , Phys. Rev. D 56, 221 (1997). Crossref, Web of Science, ADS, Google Scholar
28. M. K. Volkov , Phys. Atom. Nucl. 60, 1920 (1997). Web of Science, ADS, Google Scholar
29. M. K. Volkov and A. E. Radzhabov , Phys. Usp. 49, 551 (2006). Crossref, Web of Science, ADS, Google Scholar
30. M. K. Volkov and A. B. Arbuzov , Phys. Usp. 60, 643 (2017). Crossref, Web of Science, ADS, Google Scholar
31. M. K. Volkov, A. B. Arbuzov and A. A. Pivovarov , JETP Lett. 112, 457 (2020). Crossref, Web of Science, ADS, Google Scholar
32. M. K. Volkov and A. A. Pivovarov , Pisma Zh. Eksp. Teor. Fiz. 113, 777 (2021). Crossref, Google Scholar
33. M. K. Volkov and A. A. Pivovarov, arXiv:2107.03725 [hep-ph]. Google Scholar
34. Particle Data Group (P. A. Zyla et al.), Prog. Theor. Exp. Phys. 2020, 083C01 (2020). Crossref, Google Scholar
35. M. K. Volkov, M. Nagy and V. L. Yudichev , Nuovo Cimento A 112, 225 (1999). Crossref, Web of Science, ADS, Google Scholar
36. Belle-II Collab. (T. Abe et al.), arXiv:1011.0352 [physics.ins-det]. Google Scholar
37. Belle-II Collab. (E. Kou et al.), Prog. Theor. Exp. Phys. 2019, 123C01 (2019) [Erratum: ibid. 2020, 029201 (2020)], doi:10.1093/ptep/ptz106, arXiv:1808.10567 [hep-ex]. Google Scholar