R-evolving QCD matrix elements
© Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence. MS, combined with dimensional regularization, is one of the most popular and practical renormalization scheme in quantum field theory. One of the drawbacks of this scheme is howev...
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| Format: | Article |
| Language: | English |
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Sissa Medialab
2021
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| Online Access: | https://hdl.handle.net/1721.1/137261.2 |
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| author | Scimemi, Ignazio Jain, Ambar Hoang, Andre Stewart, Iain W |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Scimemi, Ignazio Jain, Ambar Hoang, Andre Stewart, Iain W |
| author_sort | Scimemi, Ignazio |
| collection | MIT |
| description | © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence. MS, combined with dimensional regularization, is one of the most popular and practical renormalization scheme in quantum field theory. One of the drawbacks of this scheme is however that undesired infrared contributions hide in the short-distance calculations and manifest themselves as the so called renormalon ambiguities. We have found a simple way to remove these terms which retains the properties of calculation of MS. The subtraction requires the introduction of a new cutoff scale, R, that controls power divergences. The variation of the final result with R is solved with an appropriate differential equation, very similar to the usual Renormalization Group equations. The evolution so defined is called R-evolution. We illustrate the application to Ellis-Jaffe sum rule. Preprint numbers: MPP-2010-5, MIT-CTP 4114. |
| first_indexed | 2024-09-23T10:51:10Z |
| format | Article |
| id | mit-1721.1/137261.2 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T10:51:10Z |
| publishDate | 2021 |
| publisher | Sissa Medialab |
| record_format | dspace |
| spelling | mit-1721.1/137261.22021-11-22T16:27:31Z R-evolving QCD matrix elements Scimemi, Ignazio Jain, Ambar Hoang, Andre Stewart, Iain W Massachusetts Institute of Technology. Center for Theoretical Physics © Copyright owned by the author(s) under the terms of the Creative Commons Attribution-NonCommercial-ShareAlike Licence. MS, combined with dimensional regularization, is one of the most popular and practical renormalization scheme in quantum field theory. One of the drawbacks of this scheme is however that undesired infrared contributions hide in the short-distance calculations and manifest themselves as the so called renormalon ambiguities. We have found a simple way to remove these terms which retains the properties of calculation of MS. The subtraction requires the introduction of a new cutoff scale, R, that controls power divergences. The variation of the final result with R is solved with an appropriate differential equation, very similar to the usual Renormalization Group equations. The evolution so defined is called R-evolution. We illustrate the application to Ellis-Jaffe sum rule. Preprint numbers: MPP-2010-5, MIT-CTP 4114. 2021-11-22T16:27:30Z 2021-11-03T17:40:28Z 2021-11-22T16:27:30Z 2010-02 2019-04-29T19:00:23Z Article http://purl.org/eprint/type/ConferencePaper https://hdl.handle.net/1721.1/137261.2 Scimemi, Ignazio, Jain, Ambar, Hoang, Andre and Stewart, Iain W. 2010. "R-evolving QCD matrix elements." en 10.22323/1.092.0041 Creative Commons Attribution-Noncommercial-Share Alike http://creativecommons.org/licenses/by-nc-sa/4.0/ application/octet-stream Sissa Medialab Proceedings of Science |
| spellingShingle | Scimemi, Ignazio Jain, Ambar Hoang, Andre Stewart, Iain W R-evolving QCD matrix elements |
| title | R-evolving QCD matrix elements |
| title_full | R-evolving QCD matrix elements |
| title_fullStr | R-evolving QCD matrix elements |
| title_full_unstemmed | R-evolving QCD matrix elements |
| title_short | R-evolving QCD matrix elements |
| title_sort | r evolving qcd matrix elements |
| url | https://hdl.handle.net/1721.1/137261.2 |
| work_keys_str_mv | AT scimemiignazio revolvingqcdmatrixelements AT jainambar revolvingqcdmatrixelements AT hoangandre revolvingqcdmatrixelements AT stewartiainw revolvingqcdmatrixelements |