Extracting alpha(s) from scaling violations in light-hadron fragmentation functions

摘要

We review the status of extracting the strong-coupling constant alpha(s) from the scaling violations in fragmentation functions (FFs) by fitting the latter to experimental data of the inclusive production of single light hadrons in e(+)e(-) annihilation. We also discuss the analogous analysis based on the average hadron multiplicities in gluon and quark jets, which correspond to the first Mellin moments of the respective FFs. We then assess the prospects of such alpha(s) determinations at future high-luminosity e(+)e(-) colliders such alpha(s) the CERN Future Circular Collider operated in the e(+)e(-) annihilation mode (FCC-ee).