Non-perturbative quantum chromodynamics and short strings in electron-positron pair annihilation to hadrons

Authors

  • Marina E. Kozhevnikova Объединенный институт ядерных исследований, ул. Жолио Кюри, 6, 141980, г. Дубна, Московская область, Россия
  • Armen G. Oganesian Institute of Theoretical and Experimental Physics, 25 Bol’shaya Cheremushkinskaya Street, Moscow 117218, Russia
  • Oleg V. Teryaev Joint Institute for Nuclear Research, 6 Zholio Kyuri Street, Dubna 141980, Moscow region, Russia

Keywords:

quantum chromodynamics, perturbation theory, dispersion relations, Borel transform, hadron production in e e – -annihilation, non-perturbative corrections
Supporting Agencies
It is a pleasure to thank doctor of science O. P. Solovtsova, D. V. Dedovich and doctor of science A. V. Sidorov for discussions and interest in this work. This research was supported in part by the Joint Institute for Nuclear Research and Belarusian Republic Foundation for Fundamental Research (grant No. F18D-002).

Abstract

We develop a new mathematical method to study the non-perturbative quantum chromodynamics effects in low-energy processes using ordinary and analytic perturbation theory (PT and APT). We apply this tool to extract the lowest dimensional condensates from the high-precision fits of the data on e+e–-annihilation to pion channels:  e+e− → π+π−, e+e− → 2π+2π−, e+e− → π+π−2π0, e+e− → 3π+3π− and e+e− → 2π+2π−2π0. The special attention is devoted to the existence of the contribution of dimension 2 operator. Our consideration is based on the dependence of Adler function corresponding to e+e−-annihilation into pions on both Q and Borel transform parameter M2. It is shown that within the framework of the proposed method the C2 coefficient of the dimension 2 operator is negative and is closer to zero for analytic perturbation theory, which may therefore be partially responsible for the effect of short strings.

Author Biographies

  • Marina E. Kozhevnikova, Объединенный институт ядерных исследований, ул. Жолио Кюри, 6, 141980, г. Дубна, Московская область, Россия

    junior researcher at the division of physics of the collisions of heavy ions on the NICA complex, Veksler and Baldin laboratory of high energy physics

  • Armen G. Oganesian, Institute of Theoretical and Experimental Physics, 25 Bol’shaya Cheremushkinskaya Street, Moscow 117218, Russia

    PhD (physics and mathematics); senior researcher at the laboratory of strong interaction theory

  • Oleg V. Teryaev, Joint Institute for Nuclear Research, 6 Zholio Kyuri Street, Dubna 141980, Moscow region, Russia

    doctor of science (physics and mathematics); head at the Bogoliubov laboratory of theoretical physics group

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Published

2019-05-24

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No. 2 (2019): Journal of the Belarusian State University. Physics

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Atomic Nucleus and Elementary Particle Physics

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How to Cite

(1)
Kozhevnikova, M. E.; Oganesian, A. G.; Teryaev, O. V. Non-Perturbative Quantum Chromodynamics and Short Strings in Electron-Positron Pair Annihilation to Hadrons. Журнал Белорусского государственного университета. Физика 2019, No. 2, 4-15. https://doi.org/10.33581/2520-2243-2019-2-4-15.
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