Search for short strings in e+e−-annihilation
1 Joint Institute for Nuclear Research, Dubna, Russia
2 Institute of Theoretical and Experimental Physics, Moscow, Russia
Published online: 27 March 2017
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−2π0, 3π+3π−, 2π+2π−2π0) 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.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.