A subleading operator basis and matching for gg → H
The Soft Collinear Effective Theory (SCET) is a powerful framework for studying factorization of amplitudes and cross sections in QCD. While factorization at leading power has been well studied, much less is known at subleading powers in the λ ≪ 1 expansion. In SCET subleading soft and collinear cor...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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Springer Berlin Heidelberg
2017
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| Online Access: | http://hdl.handle.net/1721.1/110745 https://orcid.org/0000-0003-0248-0979 |
| _version_ | 1826194125758660608 |
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| author | Moult, Ian Vita, Gherardo Stewart, Iain W |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Moult, Ian Vita, Gherardo Stewart, Iain W |
| author_sort | Moult, Ian |
| collection | MIT |
| description | The Soft Collinear Effective Theory (SCET) is a powerful framework for studying factorization of amplitudes and cross sections in QCD. While factorization at leading power has been well studied, much less is known at subleading powers in the λ ≪ 1 expansion. In SCET subleading soft and collinear corrections to a hard scattering process are described by power suppressed operators, which must be fixed case by case, and by well established power suppressed Lagrangians, which correct the leading power dynamics of soft and collinear radiation. Here we present a complete basis of power suppressed operators for gg → H, classifying all operators which contribute to the cross section at O (λ[superscript 2]), and showing how helicity selection rules significantly simplify the construction of the operator basis. We perform matching calculations to determine the tree level Wilson coefficients of our operators. These results are useful for studies of power corrections in both resummed and fixed order perturbation theory, and for understanding the factorization properties of gauge theory amplitudes and cross sections at subleading power. As one example, our basis of operators can be used to analytically compute power corrections for N -jettiness subtractions for gg induced color singlet production at the LHC. |
| first_indexed | 2024-09-23T09:51:22Z |
| format | Article |
| id | mit-1721.1/110745 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T09:51:22Z |
| publishDate | 2017 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1107452022-09-26T14:07:36Z A subleading operator basis and matching for gg → H Moult, Ian Vita, Gherardo Stewart, Iain W Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Vita, Gherardo Stewart, Iain W The Soft Collinear Effective Theory (SCET) is a powerful framework for studying factorization of amplitudes and cross sections in QCD. While factorization at leading power has been well studied, much less is known at subleading powers in the λ ≪ 1 expansion. In SCET subleading soft and collinear corrections to a hard scattering process are described by power suppressed operators, which must be fixed case by case, and by well established power suppressed Lagrangians, which correct the leading power dynamics of soft and collinear radiation. Here we present a complete basis of power suppressed operators for gg → H, classifying all operators which contribute to the cross section at O (λ[superscript 2]), and showing how helicity selection rules significantly simplify the construction of the operator basis. We perform matching calculations to determine the tree level Wilson coefficients of our operators. These results are useful for studies of power corrections in both resummed and fixed order perturbation theory, and for understanding the factorization properties of gauge theory amplitudes and cross sections at subleading power. As one example, our basis of operators can be used to analytically compute power corrections for N -jettiness subtractions for gg induced color singlet production at the LHC. United States. Department of Energy National Science Foundation (U.S.) 2017-07-17T20:50:55Z 2017-07-17T20:50:55Z 2017-07 2016-09 2017-07-16T04:40:39Z Article http://purl.org/eprint/type/JournalArticle 1029-8479 http://hdl.handle.net/1721.1/110745 Moult, Ian, Iain W. Stewart, and Gherardo Vita. “A Subleading Operator Basis and Matching for Gg → H.” Journal of High Energy Physics 2017.7 (2017): n. pag. © 2017 CERN for the CMS Collaboration https://orcid.org/0000-0003-0248-0979 en http://dx.doi.org/10.1007/JHEP07(2017)067 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 | Moult, Ian Vita, Gherardo Stewart, Iain W A subleading operator basis and matching for gg → H |
| title | A subleading operator basis and matching for gg → H |
| title_full | A subleading operator basis and matching for gg → H |
| title_fullStr | A subleading operator basis and matching for gg → H |
| title_full_unstemmed | A subleading operator basis and matching for gg → H |
| title_short | A subleading operator basis and matching for gg → H |
| title_sort | subleading operator basis and matching for gg h |
| url | http://hdl.handle.net/1721.1/110745 https://orcid.org/0000-0003-0248-0979 |
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