Heavy Quark Fragmentation in $e^+e^-$ Collisions to NNLO+NNLL Accuracy in Perturbative QCD
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arXiv
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| Format: | Preprint |
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2023
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| _version_ | 1866914830992015360 |
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| author | Bonino, Leonardo Cacciari, Matteo Stagnitto, Giovanni |
| author_facet | Bonino, Leonardo Cacciari, Matteo Stagnitto, Giovanni |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2312_12519 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Heavy Quark Fragmentation in $e^+e^-$ Collisions to NNLO+NNLL Accuracy in Perturbative QCD Bonino, Leonardo Cacciari, Matteo Stagnitto, Giovanni High Energy Physics - Phenomenology 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. |
| title | Heavy Quark Fragmentation in $e^+e^-$ Collisions to NNLO+NNLL Accuracy in Perturbative QCD |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2312.12519 |