Search for short strings in~$e^{+}{e}^{-}$-annihilation

Abstract

In this work the behavior of power corrections to Adler finction in operator product expansion (OPE) is studied, in particular the possible contribution of operator of dimension 2. The OPE terms of dimension 4 and 6 are taken into account. Various experimental data on reactions of $e^{+}{e}^{-}$-annihilation to pion channels (${\pi }^{+}{\pi }^{-}$, $2{\pi }^{+}2{\pi }^{-}$, ${\pi }^{+}{\pi }^{-}2{\pi }^0$, $3{\pi }^{+}3{\pi }^{-}$, $2{\pi }^{+}2{\pi }^{-}2{\pi }^0$) are used. The high-precision fits of the experimental data are obtained and used. The method based on Borel transform of Adler function is applied. It is shown that the contribution of operator of dimension 2 is negative being compatible to zero at three standard deviations level. The strong (anti)corellation between short string and local gluon condensate is found.

arXiv comment9 pages, 2 figures, a report on the XXIII Baldin ISHEPP, minor corrections, references added

References in corpus (12)

• Analytic Model for the QCD Running Coupling with Universal ${\bar{\alpha }}_s(0)$ Value
• Short-distance tachyonic gluon mass and 1/Q^2 corrections
• Gluon condensate in charmonium sum rules with 3-loop corrections
• The e+ e- --> 3(pi+pi-), 2(pi+pi-pi0) and K+K- 2(pi+pi-) Cross Sections at Center-of-Mass Energies from Production Threshold to 4.5 GeV Measured with Initial-State Radiation
• The $\epem\toπ^+π^-π^+π^-$, $K^{+}{K}^{-}{\pi }^{+}{\pi }^{-}$, and $K^{+}{K}^{-}{K}^{+}{K}^{-}$ Cross Sections at Center-of-Mass Energies 0.5--4.5 \gev Measured with Initial-State Radiation
• a_1(1260) dominance in the process e+e- \to 4πat energies 1.05--1.38 GeV
• Duality between QCD Perturbative Series and Power Corrections
• QCD Analytic Perturbation Theory. From integer powers to any power of the running coupling
• The check of QCD based on the tau-decay data analysis in the complex q^2-plane
• Four-loop QCD analysis of the Bjorken sum rule vs data
• Cross section of the reaction $e^{+}{e}^{-}\to {\pi }^{+}{\pi }^{-}{\pi }^{+}{\pi }^{-}$ below 1 GeV at CMD-2
• Total Cross Section of the Process e+e- -> pi+pi-pi+pi- in the C.M.Energy Range 980-1380 MeV