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Heavy Quark Fragmentation in $e^+e^-$ Collisions to NNLO+NNLL Accuracy in Perturbative QCD
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abstract
Fragmentation of heavy quarks into heavy-flavoured hadrons receives both perturbative and non-perturbative contributions. We consider perturbative QCD corrections to heavy quark production in $e^+e^-$ collisions to next-to-next-to-leading order accuracy in QCD with next-to-next-to-leading-logarithmic resummation of quasi-collinear and soft emissions. We study multiple matching schemes, and multiple regularisations of the soft resummation, and observe a significant dependence of the perturbative results on these ingredients, suggesting that NNLO+NNLL perturbative accuracy may not lead to real gains unless the interface with non-perturbative physics is properly analysed. We confirm previous evidence that $D^{*+}$ experimental data from CLEO/BELLE and from LEP are not reconcilable with perturbative predictions employing standard DGLAP evolution. We extract non-perturbative contributions from $e^+e^-$ experimental data for both $D$ and $B$ meson fragmentation. Such contributions can be used to predict heavy-quark fragmentation in other processes, e.g. DIS and proton-proton collisions.
Forward citations
Cited by 4 Pith papers
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Precise QCD Predictions for Hadron-in-jet Production in $e^+e^-$ Collisions
First NNLO QCD predictions for hadron-in-jet cross sections in e+e- two- and three-jet events, with ALEPH comparisons showing improved convergence when the fragmentation scale is set by the jet resolution.
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Bridging massive and massless schemes for soft gluon resummation in heavy-flavour production in $e^+e^-$ collisions
The paper computes the O(alpha_s) soft-limit constants that interpolate between massive and massless scheme resummations, raising the accuracy of heavy-flavour fragmentation predictions from NLL to NLL'.
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Bottomoniumlike states in proton collisions: Fragmentation and resummation
New TQHL1.1 and TQ4Q1.1 fragmentation functions for doubly and fully bottomed tetraquarks are constructed and evolved, yielding first predictions for bottom-tetraquark plus jet distributions at 14 and 100 TeV.
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On the quarkonium-in-jet collinear fragmentation at moderate-to-large transverse momentum
A preliminary NLO set of quarkonium fragmentation functions, NRFF1.0, is introduced and proposed as input for quarkonium-in-jet fragmentation studies.
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