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Renormalization group summation of perturbative series in timelike momentum region

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Il Nuovo Cimento A (1965-1970)

Summary

The problem of summing perturbative series with renormalization group technique in timelike momentum region is discussed. The particular case of cross-section of e+e−-annihilation into hadrons is analysed in detail.

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References

  1. S. L. Glashow:Nucl. Phys.,22, 579 (1961);S. Weinberg:Phys. Rev. Lett.,19, 1264 (1967);A. Salam: inElementary Particle Theory, edited byN. Svartholm (Almqvist and Wiksel, 1968).

    Article  Google Scholar 

  2. See, for example,Perturbative QCD, edited byA. H. Mueller (World Scientific, 1989).

  3. See, for example,M. K. Gaillard andB. W. Lee:Phys. Rev. D,10, 897 (1974);A. I. Vainshtein, V. I. Zakharov andM. A. Shifman:Nucl. Phys. B,120, 316 (1977);F. J. Gilman andM. B. Wise:Phys. Rev. D,27, 1128 (1983);A. J. Buras, M. Jamin andP. H. Weisz:Nucl. Phys. B,347, 491 (1990).

    Article  ADS  Google Scholar 

  4. See, for example,G. Altarelli:Phys. Rep.,81, 1 (1982).

    Article  ADS  Google Scholar 

  5. P. B. Mackenzie andG. P. Lepage:Phys. Rev. Lett.,47 1244 (1981).

    Article  ADS  Google Scholar 

  6. G. D'Agostini, W. De Boer andG. Grindhammer:Phys. Lett. B,229, 160 (1989);R. Marshall:Z. Phys. C,43, 595 (1989).

    Article  ADS  Google Scholar 

  7. E. Poggio, H. Quinn andS. Weinberg:Phys. Rev. D,13, 1958 (1976).

    Article  ADS  Google Scholar 

  8. E. Stueckelberg andA. Peterman:Helv. Phys. Acta,26, 499 (1953);M. Gell-Mann andF. E. Low:Phys. Rev.,95, 1300 (1954);N. N. Bogoliubov andD. V. Shirkov:Dokl. Akad. Nauk. SSSR,103, 391 (1955);Nuovo Cimento,3, 845 (1956);A. A. Logunov:Ž. Ėksp. Teor. Fiz.,30, 793 (1956).

    MathSciNet  MATH  Google Scholar 

  9. N. V. Krasnikov andA. A. Pivovarov:Phys. Lett. B,116, 168 (1982).

    Article  ADS  Google Scholar 

  10. M. R. Pennington andG. G. Ross:Phys. Lett. B,102, 167 (1982).

    Article  ADS  Google Scholar 

  11. A. V. Radyushkin: JINR preprint E2-82-150, Dubna 1982.

  12. N. Sakai:Phys. Rev. D,22, 2220 (1980).

    Article  ADS  Google Scholar 

  13. E. Braaten:Phys. Rev. Lett.,60, 1606 (1988);Phys. Rev. D,39, 1458 (1989);S. Narison andA. Pich:Phys. Lett. B,211, 183 (1988).

    Article  ADS  Google Scholar 

  14. S. L. Adler:Phys. Rev. D,10, 132 (1974).

    Article  Google Scholar 

  15. P. M. Stevenson:Phys. Rev. D,23, 2916 (1981);C. J. Maxwell:Phys. Rev. D,28, 2037 (1983);S. J. Brodsky, G. P. Lepage andP. B. Mackenzie:Phys. Rev. D,28, 228 (1983).

    Article  ADS  Google Scholar 

  16. G. Grunberg:Phys. Lett. B,95, 70 (1980);A. L. Kataev, N. V., Krasnikov andA. A. Pivovarov:Phys. Lett. B,107, 115 (1981).

    Article  ADS  Google Scholar 

  17. N. V. Krasnikov, K. G. Chetyrkin andA. N. Tavkhelidze:Phys. Lett. B,76, 76 (1978);N. V. Krasnikov, A. A. Pivovarov andN. N. Tavkhelidze:Z. Phys. C,19, 301 (1983).

    Article  Google Scholar 

  18. A. L. Kataev, N. V. Krasnikov andA. A. Pivovarov:Phys. Lett B.,123, 93 (1983);Nuovo Cimento A,76, 723 (1983);A. A. Ovchinnikov, A. A. Pivovarov andL. R. Surguladze;Yad. Fiz.,48, 562 (1988).

    Article  ADS  Google Scholar 

  19. A. A., Pivovarov andV. F. Tokarev:Yad. Fiz.,41, 524 (1985).

    Google Scholar 

  20. L. R. Surguladze andM. A. Samuel: OSU preprint, 1990.

  21. S. G. Gorishny, A. L. Kataev andS. A. Larin:JETP Lett.,53, 121 (1991).

    ADS  Google Scholar 

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Authors and Affiliations

  1. Institute for Nuclear Research of the Academy of Sciences of the USSR, 117312, Moscow, USSR

    A. A. Pivovarov

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  1. A. A. Pivovarov
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Pivovarov, A.A. Renormalization group summation of perturbative series in timelike momentum region. Nuov Cim A 105, 813–826 (1992). https://doi.org/10.1007/BF02799096

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  • DOI: https://doi.org/10.1007/BF02799096

PACS 11.10.Gh

aPACS 12.38.Bx

PACS 12.38.Cy

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