Factorial growth at low orders in perturbative QCD: control over truncation uncertainties
Abstract A method, known as “minimal renormalon subtraction” [Phys. Rev. D 97 (2018) 034503, JHEP 08 (2017) 62], relates the factorial growth of a perturbative series (in QCD) to the power p of a power correction Λ p /Q p . (Λ is the QCD scale, Q some hard scale.) Here, the derivation is simplified...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2023-12-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP12(2023)108 |
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| author | Andreas S. Kronfeld |
| author_facet | Andreas S. Kronfeld |
| author_sort | Andreas S. Kronfeld |
| collection | DOAJ |
| description | Abstract A method, known as “minimal renormalon subtraction” [Phys. Rev. D 97 (2018) 034503, JHEP 08 (2017) 62], relates the factorial growth of a perturbative series (in QCD) to the power p of a power correction Λ p /Q p . (Λ is the QCD scale, Q some hard scale.) Here, the derivation is simplified and generalized to any p, more than one such correction, and cases with anomalous dimensions. Strikingly, the well-known factorial growth is seen to emerge already at low or medium orders, as a consequence of constraints on the Q dependence from the renormalization group. The effectiveness of the method is studied with the gluonic energy between a static quark and static antiquark (the “static energy”). Truncation uncertainties are found to be under control after next-to-leading order, despite the small exponent of the power correction (p = 1) and associated rapid growth seen in the first four coefficients of the perturbative series. |
| first_indexed | 2024-03-08T19:49:02Z |
| format | Article |
| id | doaj.art-138ff3d669944c7589fd0b4e39fd465e |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-04-24T16:22:00Z |
| publishDate | 2023-12-01 |
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| spelling | doaj.art-138ff3d669944c7589fd0b4e39fd465e2024-03-31T11:08:42ZengSpringerOpenJournal of High Energy Physics1029-84792023-12-0120231212610.1007/JHEP12(2023)108Factorial growth at low orders in perturbative QCD: control over truncation uncertaintiesAndreas S. Kronfeld0Theory Division, Fermi National Accelerator LaboratoryAbstract A method, known as “minimal renormalon subtraction” [Phys. Rev. D 97 (2018) 034503, JHEP 08 (2017) 62], relates the factorial growth of a perturbative series (in QCD) to the power p of a power correction Λ p /Q p . (Λ is the QCD scale, Q some hard scale.) Here, the derivation is simplified and generalized to any p, more than one such correction, and cases with anomalous dimensions. Strikingly, the well-known factorial growth is seen to emerge already at low or medium orders, as a consequence of constraints on the Q dependence from the renormalization group. The effectiveness of the method is studied with the gluonic energy between a static quark and static antiquark (the “static energy”). Truncation uncertainties are found to be under control after next-to-leading order, despite the small exponent of the power correction (p = 1) and associated rapid growth seen in the first four coefficients of the perturbative series.https://doi.org/10.1007/JHEP12(2023)108Large-Order Behaviour of Perturbation TheoryRenormalonsRenormalization Group |
| spellingShingle | Andreas S. Kronfeld Factorial growth at low orders in perturbative QCD: control over truncation uncertainties Journal of High Energy Physics Large-Order Behaviour of Perturbation Theory Renormalons Renormalization Group |
| title | Factorial growth at low orders in perturbative QCD: control over truncation uncertainties |
| title_full | Factorial growth at low orders in perturbative QCD: control over truncation uncertainties |
| title_fullStr | Factorial growth at low orders in perturbative QCD: control over truncation uncertainties |
| title_full_unstemmed | Factorial growth at low orders in perturbative QCD: control over truncation uncertainties |
| title_short | Factorial growth at low orders in perturbative QCD: control over truncation uncertainties |
| title_sort | factorial growth at low orders in perturbative qcd control over truncation uncertainties |
| topic | Large-Order Behaviour of Perturbation Theory Renormalons Renormalization Group |
| url | https://doi.org/10.1007/JHEP12(2023)108 |
| work_keys_str_mv | AT andreasskronfeld factorialgrowthatlowordersinperturbativeqcdcontrolovertruncationuncertainties |