R evolution: Improving perturbative QCD
Perturbative QCD results in the MS̅ scheme can be dramatically improved by switching to a scheme that accounts for the dominant power law dependence on the factorization scale in the operator product expansion. We introduce the “MSR scheme” which achieves this in a Lorentz and gauge invariant way an...
| Main Authors: | , , , |
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| Format: | Article |
| Language: | en_US |
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American Physical Society
2011
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| Online Access: | http://hdl.handle.net/1721.1/60846 https://orcid.org/0000-0003-0248-0979 |
| _version_ | 1826212221767647232 |
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| author | Hoang, Andre H. Jain, Ambar Scimemi, Ignazio Stewart, Iain |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Hoang, Andre H. Jain, Ambar Scimemi, Ignazio Stewart, Iain |
| author_sort | Hoang, Andre H. |
| collection | MIT |
| description | Perturbative QCD results in the MS̅ scheme can be dramatically improved by switching to a scheme that accounts for the dominant power law dependence on the factorization scale in the operator product expansion. We introduce the “MSR scheme” which achieves this in a Lorentz and gauge invariant way and has a very simple relation to MS̅ . Results in MSR depend on a cutoff parameter R, in addition to the μ of MS̅ . R variations can be used to independently estimate (i.) the size of power corrections, and (ii.) higher-order perturbative corrections (much like μ in MS̅ ). We give two examples at three-loop order, the ratio of mass splittings in the B*-B and D*-D systems, and the Ellis-Jaffe sum rule as a function of momentum transfer Q in deep inelastic scattering. Comparing to data, the perturbative MSR results work well even for Q∼1 GeV, and power corrections are reduced compared to MS̅ . |
| first_indexed | 2024-09-23T15:18:17Z |
| format | Article |
| id | mit-1721.1/60846 |
| institution | Massachusetts Institute of Technology |
| language | en_US |
| last_indexed | 2024-09-23T15:18:17Z |
| publishDate | 2011 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/608462022-10-02T02:01:30Z R evolution: Improving perturbative QCD Hoang, Andre H. Jain, Ambar Scimemi, Ignazio Stewart, Iain Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Stewart, Iain Jain, Ambar Stewart, Iain Perturbative QCD results in the MS̅ scheme can be dramatically improved by switching to a scheme that accounts for the dominant power law dependence on the factorization scale in the operator product expansion. We introduce the “MSR scheme” which achieves this in a Lorentz and gauge invariant way and has a very simple relation to MS̅ . Results in MSR depend on a cutoff parameter R, in addition to the μ of MS̅ . R variations can be used to independently estimate (i.) the size of power corrections, and (ii.) higher-order perturbative corrections (much like μ in MS̅ ). We give two examples at three-loop order, the ratio of mass splittings in the B*-B and D*-D systems, and the Ellis-Jaffe sum rule as a function of momentum transfer Q in deep inelastic scattering. Comparing to data, the perturbative MSR results work well even for Q∼1 GeV, and power corrections are reduced compared to MS̅ . Spain. Ministerio de Educación y Ciencia (MEC) (FPA2008-00592) European Union. Flavianet (MRTNCT - 2006-035482) Banco Santander Central Hispano (UCM-BSCH GR58/08 910309) United States. Dept. of Energy. Office of Nuclear Physics (Grant No. DE-FG02-94ER40818) Alexander von Humboldt-Stiftung Max Planck Society for the Advancement of Science 2011-01-26T14:57:09Z 2011-01-26T14:57:09Z 2010-07 2010-08 Article http://purl.org/eprint/type/JournalArticle 1550-7998 1550-2368 http://hdl.handle.net/1721.1/60846 Hoang, Andre H. et al. "." Physical Review D 82.1 (2010): 011501. © 2010 The American Physical Society https://orcid.org/0000-0003-0248-0979 en_US http://dx.doi.org/10.1103/PhysRevD.82.011501 Physical Review D Article is made available in accordance with the publisher's policy and may be subject to US copyright law. Please refer to the publisher's site for terms of use. application/pdf American Physical Society APS |
| spellingShingle | Hoang, Andre H. Jain, Ambar Scimemi, Ignazio Stewart, Iain R evolution: Improving perturbative QCD |
| title | R evolution: Improving perturbative QCD |
| title_full | R evolution: Improving perturbative QCD |
| title_fullStr | R evolution: Improving perturbative QCD |
| title_full_unstemmed | R evolution: Improving perturbative QCD |
| title_short | R evolution: Improving perturbative QCD |
| title_sort | r evolution improving perturbative qcd |
| url | http://hdl.handle.net/1721.1/60846 https://orcid.org/0000-0003-0248-0979 |
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