Non-singlet fragmentation functions of pions and kaons are determined at NNLO QCD from charge asymmetry measurements in e+e- annihilation and SIDIS, yielding a scaling index of 0.7 and strangeness suppression of 0.5.
$O(\alpha_s^2)$ Contributions to the longitudinal fragmentation function in $e^+\,e^-$ annihilation
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abstract
We present the order $\alpha_s^2$ contributions to the coefficient functions corresponding to the longitudinal fragmentation function $F_L(x,Q^2)$. A comparison with the leading order $\alpha_s$ result for $F_L(x,Q^2)$ shows that the corrections are large and vary from 44\% to 67\% in the region $0.01 < x < 0.9$ at $Q^2=M_Z^2$. Our calculations also reveal that the ratio of the longitudinal and total cross section $\sigma_L/\sigma_{\rm tot}$ amounts to 0.054. This number is very close to the most recent value obtained by the OPAL collaboration which obtained $0.057\pm 0.005$.
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First NNLO global extraction of Lambda hyperon fragmentation functions from SIA and SIDIS data via neural-network parametrization.
Global QCD fit at NLO and NNLO extracts unidentified charged-hadron fragmentation functions from SIA plus modern COMPASS SIDIS multiplicities, producing publicly available HAPS-hFF1.0 replicas with improved light-quark constraints.