Non-global logarithms, factorization, and the soft substructure of jets
An outstanding problem in QCD and jet physics is the factorization and resummation of logarithms that arise due to phase space constraints, so-called non-global logarithms (NGLs). In this paper, we show that NGLs can be factorized and resummed down to an unresolved infrared scale by making sufficien...
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| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2016
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| Online Access: | http://hdl.handle.net/1721.1/103391 https://orcid.org/0000-0002-3181-4301 https://orcid.org/0000-0002-4819-4081 |
| _version_ | 1826194187839602688 |
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| author | Larkoski, Andrew J. Moult, Ian Neill, Duff |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Larkoski, Andrew J. Moult, Ian Neill, Duff |
| author_sort | Larkoski, Andrew J. |
| collection | MIT |
| description | An outstanding problem in QCD and jet physics is the factorization and resummation of logarithms that arise due to phase space constraints, so-called non-global logarithms (NGLs). In this paper, we show that NGLs can be factorized and resummed down to an unresolved infrared scale by making sufficiently many measurements on a jet or other restricted phase space region. Resummation is accomplished by renormalization group evolution of the objects in the factorization theorem and anomalous dimensions can be calculated to any perturbative accuracy and with any number of colors. To connect with the NGLs of more inclusive measurements, we present a novel perturbative expansion which is controlled by the volume of the allowed phase space for unresolved emissions. Arbitrary accuracy can be obtained by making more and more measurements so to resolve lower and lower scales. We find that even a minimal number of measurements produces agreement with Monte Carlo methods for leading-logarithmic resummation of NGLs at the sub-percent level over the full dynamical range relevant for the Large Hadron Collider. We also discuss other applications of our factorization theorem to soft jet dynamics and how to extend to higher-order accuracy. |
| first_indexed | 2024-09-23T09:52:17Z |
| format | Article |
| id | mit-1721.1/103391 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T09:52:17Z |
| publishDate | 2016 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1033912022-09-26T14:13:46Z Non-global logarithms, factorization, and the soft substructure of jets Larkoski, Andrew J. Moult, Ian Neill, Duff Massachusetts Institute of Technology. Center for Theoretical Physics Larkoski, Andrew J. Moult, Ian Larkoski, Andrew J. An outstanding problem in QCD and jet physics is the factorization and resummation of logarithms that arise due to phase space constraints, so-called non-global logarithms (NGLs). In this paper, we show that NGLs can be factorized and resummed down to an unresolved infrared scale by making sufficiently many measurements on a jet or other restricted phase space region. Resummation is accomplished by renormalization group evolution of the objects in the factorization theorem and anomalous dimensions can be calculated to any perturbative accuracy and with any number of colors. To connect with the NGLs of more inclusive measurements, we present a novel perturbative expansion which is controlled by the volume of the allowed phase space for unresolved emissions. Arbitrary accuracy can be obtained by making more and more measurements so to resolve lower and lower scales. We find that even a minimal number of measurements produces agreement with Monte Carlo methods for leading-logarithmic resummation of NGLs at the sub-percent level over the full dynamical range relevant for the Large Hadron Collider. We also discuss other applications of our factorization theorem to soft jet dynamics and how to extend to higher-order accuracy. United States. Department of Energy (Contract Numbers DE-SC00012567 and DE-SC0011090) MIT Department of Physics Pappalardo Program Natural Sciences and Engineering Research Council of Canada 2016-06-30T19:11:42Z 2016-06-30T19:11:42Z 2015-09 2015-02 2016-05-23T09:37:24Z Article http://purl.org/eprint/type/JournalArticle 1029-8479 1126-6708 http://hdl.handle.net/1721.1/103391 Larkoski, Andrew J., Ian Moult, and Duff Neill. “Non-Global Logarithms, Factorization, and the Soft Substructure of Jets.” Journal of High Energy Physics 2015.9 (2015): n. pag. https://orcid.org/0000-0002-3181-4301 https://orcid.org/0000-0002-4819-4081 en http://dx.doi.org/10.1007/JHEP09(2015)143 Journal of High Energy Physics Creative Commons Attribution http://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Larkoski, Andrew J. Moult, Ian Neill, Duff Non-global logarithms, factorization, and the soft substructure of jets |
| title | Non-global logarithms, factorization, and the soft substructure of jets |
| title_full | Non-global logarithms, factorization, and the soft substructure of jets |
| title_fullStr | Non-global logarithms, factorization, and the soft substructure of jets |
| title_full_unstemmed | Non-global logarithms, factorization, and the soft substructure of jets |
| title_short | Non-global logarithms, factorization, and the soft substructure of jets |
| title_sort | non global logarithms factorization and the soft substructure of jets |
| url | http://hdl.handle.net/1721.1/103391 https://orcid.org/0000-0002-3181-4301 https://orcid.org/0000-0002-4819-4081 |
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