Heavy Flavoured Meson Fragmentation Functions in $e^{+}{e}^{-}$ annihilation up to NNLO + NNLL

Abstract

In this contribution, we make use of the QCD perturbative fragmentation function formalism to describe the one-particle inclusive fragmentation of a heavy quark produced in $e^{+}{e}^{-}$ annihilation at $\mathcal{O}(\hat{I}{\pm }_S^2)$. We perform the computation analytically in Mellin-space. We resum soft-gluons effects in initial conditions and coefficient functions and perform evolution up to NNLL accuracy, obtaining the first NNLO + NNLL prediction for charm quark production. We study the impact of different matching schemes and Landau pole prescriptions in soft-gluon resummation, finding significant differences. We extract simple non-perturbative fragmentation functions for $B$ and $D^{\ast }$ mesons by comparing the perturbative prediction with the data from CLEO, BELLE and LEP experiments. We find that for charm mesons the experimental results from CLEO/BELLE and from LEP are not reconcilable with the standard DGLAP evolution.

4 pages, 5 figures, Contribution to the proceedings of the 57th Recontres de Moriond 2023, QCD and High Energy Interactions