Speaker
Anatoly Kotikov
(JINR)
Description
Exploring the anomalous dimensions, resummed through next-to-next-to-leading-logarithmic order, we study the first Mellin moments $D_{q,g}(\mu^2)$ of the quark and gluon fragmentation functions, which correspond to the average hadron multiplicities in jets initiated by quarks and gluons, respectively. By fitting the world data on $D_{q,g}(\mu^2)$ for charged hadrons measured in
$e^+e^-$ annihilation, we find a good agreement with the data and obtain
the following value for the strong coupling $\alpha_s^{(5)}(M_Z)=0.1177+0.0027-0.0025$.
Primary author
Anatoly Kotikov
(JINR)
