Search for short strings ine⁺e⁻-annihilation

Abstract

Abstract. In this work the behavior of power corrections to Adler function 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 (π + π − , 2π + 2π − , π + π − 2π 0 , 3π + 3π − , 2π + 2π − 2π 0 ) are used. The high-precision fits of the experimental data are obtained and used. The method based on Borel transformation 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)correlation between short string and local gluon condensate is found.

Hunting for QCD strings in e+e−-annihilation

“…), expressed as g.c. (GeV 4 ) = A(GeV 2 ) • C 2 (GeV 2 ) + B(GeV 4 ), marked previously in our work [7]. One can see that at one σ-level our results for standard local gluon condensate are compatible with that from [1,27,28].…”

“…For fitting of each process we use the method of minimization of χ 2 -functional. The data for the process e + e − → π + π − is presented as squared form factor on energy √ s. To fit the data we use [7] the generalized [16] model of Gounaris and Sakurai [25].…”

“…The main purpose is to verify whether the operator with dimension 2 exists. We extend our analysis [7] based on the use of the Adler function, applying the Borel transform by including the consideration of APT [8][9][10][11][12][13][14][15].…”

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

“…3, 4 и рис. 2, 3) является антикорреляция вклада короткой струны и глюонного конденсата, отмеченная ранее в нашей работе [30]. На рисунках для сравнения горизонтальными линиями отмечены известные значения глюонного конденсата [1; 29; 31].…”