Subleading power corrections for N-jettiness subtractions
The N-jettiness observable T[subscript N] provides a way of describing the leading singular behavior of the N-jet cross section in the τ=T[subscript N]/Q→0 limit, where Q is a hard interaction scale. We consider subleading-power corrections in the τ≪1 expansion, and employ soft-collinear effective t...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
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American Physical Society
2017
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| Online Access: | http://hdl.handle.net/1721.1/109386 https://orcid.org/0000-0002-4819-4081 https://orcid.org/0000-0003-0248-0979 |
| _version_ | 1811079209435529216 |
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| author | Rothen, Lorena Tackmann, Frank J. Moult, Ian James Stewart, Iain W Zhu, HuaXing |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Rothen, Lorena Tackmann, Frank J. Moult, Ian James Stewart, Iain W Zhu, HuaXing |
| author_sort | Rothen, Lorena |
| collection | MIT |
| description | The N-jettiness observable T[subscript N] provides a way of describing the leading singular behavior of the N-jet cross section in the τ=T[subscript N]/Q→0 limit, where Q is a hard interaction scale. We consider subleading-power corrections in the τ≪1 expansion, and employ soft-collinear effective theory to obtain analytic results for the dominant α[subscript s]τlnτ and α[superscript 2][subscript s]τln[superscript 3]τ subleading terms for thrust in e[superscript +]e[superscript -] collisions and 0-jettiness for q[bar over q]-initiated Drell-Yan–like processes at hadron colliders. These results can be used to significantly improve the numerical accuracy and stability of the N-jettiness subtraction technique for performing fixed-order calculations at next-to-leading order and next-to-next-to-leading order. They reduce the size of missing power corrections in the subtractions by an order of magnitude. We also point out that the precise definition of N-jettiness has an important impact on the size of the power corrections and thus the numerical accuracy of the subtractions. The sometimes employed definition of N-jettiness in the hadronic center-of-mass frame suffers from power corrections that grow exponentially with rapidity, causing the power expansion to deteriorate away from central rapidity. This degradation does not occur for the original N-jettiness definition, which explicitly accounts for the boost of the Born process relative to the frame of the hadronic collision, and has a well-behaved power expansion throughout the entire phase space. Integrated over rapidity, using this N-jettiness definition in the subtractions yields another order of magnitude improvement compared to employing the hadronic-frame definition. |
| first_indexed | 2024-09-23T11:11:36Z |
| format | Article |
| id | mit-1721.1/109386 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T11:11:36Z |
| publishDate | 2017 |
| publisher | American Physical Society |
| record_format | dspace |
| spelling | mit-1721.1/1093862022-10-01T01:56:42Z Subleading power corrections for N-jettiness subtractions Rothen, Lorena Tackmann, Frank J. Moult, Ian James Stewart, Iain W Zhu, HuaXing Massachusetts Institute of Technology. Center for Theoretical Physics Massachusetts Institute of Technology. Department of Physics Moult, Ian James Stewart, Iain W Zhu, HuaXing The N-jettiness observable T[subscript N] provides a way of describing the leading singular behavior of the N-jet cross section in the τ=T[subscript N]/Q→0 limit, where Q is a hard interaction scale. We consider subleading-power corrections in the τ≪1 expansion, and employ soft-collinear effective theory to obtain analytic results for the dominant α[subscript s]τlnτ and α[superscript 2][subscript s]τln[superscript 3]τ subleading terms for thrust in e[superscript +]e[superscript -] collisions and 0-jettiness for q[bar over q]-initiated Drell-Yan–like processes at hadron colliders. These results can be used to significantly improve the numerical accuracy and stability of the N-jettiness subtraction technique for performing fixed-order calculations at next-to-leading order and next-to-next-to-leading order. They reduce the size of missing power corrections in the subtractions by an order of magnitude. We also point out that the precise definition of N-jettiness has an important impact on the size of the power corrections and thus the numerical accuracy of the subtractions. The sometimes employed definition of N-jettiness in the hadronic center-of-mass frame suffers from power corrections that grow exponentially with rapidity, causing the power expansion to deteriorate away from central rapidity. This degradation does not occur for the original N-jettiness definition, which explicitly accounts for the boost of the Born process relative to the frame of the hadronic collision, and has a well-behaved power expansion throughout the entire phase space. Integrated over rapidity, using this N-jettiness definition in the subtractions yields another order of magnitude improvement compared to employing the hadronic-frame definition. United States. Dept. of Energy. Office of Nuclear Physics (Contract DESC0011090) United States. Dept. of Energy. Office of High Energy Physics (Contract DE-AC02-05CH11231) Lawrence Berkeley National Laboratory Simons Foundation (Investigator Grant 327942) 2017-05-26T18:45:31Z 2017-05-26T18:45:31Z 2017-04 2017-01 2017-04-18T22:00:05Z Article http://purl.org/eprint/type/JournalArticle 2470-0010 2470-0029 http://hdl.handle.net/1721.1/109386 Moult, Ian et al. “Subleading Power Corrections for N -Jettiness Subtractions.” Physical Review D 95.7 (2017): n. pag. © 2017 American Physical Society https://orcid.org/0000-0002-4819-4081 https://orcid.org/0000-0003-0248-0979 en http://dx.doi.org/10.1103/PhysRevD.95.074023 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. American Physical Society application/pdf American Physical Society American Physical Society |
| spellingShingle | Rothen, Lorena Tackmann, Frank J. Moult, Ian James Stewart, Iain W Zhu, HuaXing Subleading power corrections for N-jettiness subtractions |
| title | Subleading power corrections for N-jettiness subtractions |
| title_full | Subleading power corrections for N-jettiness subtractions |
| title_fullStr | Subleading power corrections for N-jettiness subtractions |
| title_full_unstemmed | Subleading power corrections for N-jettiness subtractions |
| title_short | Subleading power corrections for N-jettiness subtractions |
| title_sort | subleading power corrections for n jettiness subtractions |
| url | http://hdl.handle.net/1721.1/109386 https://orcid.org/0000-0002-4819-4081 https://orcid.org/0000-0003-0248-0979 |
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