NNLL resummation of Sudakov shoulder logarithms in the heavy jet mass distribution
Abstract The heavy jet mass event shape has large perturbative logarithms near the leading order kinematic threshold at ρ =...
| Main Authors: | , , , , |
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| Other Authors: | |
| Format: | Article |
| Language: | English |
| Published: |
Springer Berlin Heidelberg
2023
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| Online Access: | https://hdl.handle.net/1721.1/153011 |
| _version_ | 1826191609373392896 |
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| author | Bhattacharya, Arindam Michel, Johannes K. L. Schwartz, Matthew D. Stewart, Iain W. Zhang, Xiaoyuan |
| author2 | Massachusetts Institute of Technology. Center for Theoretical Physics |
| author_facet | Massachusetts Institute of Technology. Center for Theoretical Physics Bhattacharya, Arindam Michel, Johannes K. L. Schwartz, Matthew D. Stewart, Iain W. Zhang, Xiaoyuan |
| author_sort | Bhattacharya, Arindam |
| collection | MIT |
| description | Abstract
The heavy jet mass event shape has large perturbative logarithms near the leading order kinematic threshold at
ρ
=
1
3
$$ \rho =\frac{1}{3} $$
. Catani and Webber named these logarithms Sudakov shoulders and resummed them at double-logarithmic level. A resummation to next-to-leading logarithmic level was achieved recently. Here, we extend the resummation using an effective field theory framework to next-to-next-to-leading logarithmic order and show how to combine it with the resummation of dijet logarithms. We also solve the open problem of an unphysical singularity in the resummed momentum space distribution, in a way similar to how it is resolved in the Drell-Yan qT spectrum: through a careful analysis of the kinematics and scale-setting in position space. The heavy jet mass Sudakov shoulder is the first observable that does not involve transverse momentum for which position space resummation is critical. These advances may lead to a more precise extraction of the strong coupling constant from e+e− data. |
| first_indexed | 2024-09-23T08:58:53Z |
| format | Article |
| id | mit-1721.1/153011 |
| institution | Massachusetts Institute of Technology |
| language | English |
| last_indexed | 2024-09-23T08:58:53Z |
| publishDate | 2023 |
| publisher | Springer Berlin Heidelberg |
| record_format | dspace |
| spelling | mit-1721.1/1530112024-02-05T18:43:06Z NNLL resummation of Sudakov shoulder logarithms in the heavy jet mass distribution Bhattacharya, Arindam Michel, Johannes K. L. Schwartz, Matthew D. Stewart, Iain W. Zhang, Xiaoyuan Massachusetts Institute of Technology. Center for Theoretical Physics Abstract The heavy jet mass event shape has large perturbative logarithms near the leading order kinematic threshold at ρ = 1 3 $$ \rho =\frac{1}{3} $$ . Catani and Webber named these logarithms Sudakov shoulders and resummed them at double-logarithmic level. A resummation to next-to-leading logarithmic level was achieved recently. Here, we extend the resummation using an effective field theory framework to next-to-next-to-leading logarithmic order and show how to combine it with the resummation of dijet logarithms. We also solve the open problem of an unphysical singularity in the resummed momentum space distribution, in a way similar to how it is resolved in the Drell-Yan qT spectrum: through a careful analysis of the kinematics and scale-setting in position space. The heavy jet mass Sudakov shoulder is the first observable that does not involve transverse momentum for which position space resummation is critical. These advances may lead to a more precise extraction of the strong coupling constant from e+e− data. 2023-11-21T13:28:29Z 2023-11-21T13:28:29Z 2023-11-14 2023-11-19T04:54:11Z Article http://purl.org/eprint/type/JournalArticle https://hdl.handle.net/1721.1/153011 Journal of High Energy Physics. 2023 Nov 14;2023(11):80 PUBLISHER_CC en https://doi.org/10.1007/JHEP11(2023)080 Creative Commons Attribution https://creativecommons.org/licenses/by/4.0/ The Author(s) application/pdf Springer Berlin Heidelberg Springer Berlin Heidelberg |
| spellingShingle | Bhattacharya, Arindam Michel, Johannes K. L. Schwartz, Matthew D. Stewart, Iain W. Zhang, Xiaoyuan NNLL resummation of Sudakov shoulder logarithms in the heavy jet mass distribution |
| title | NNLL resummation of Sudakov shoulder logarithms in the heavy jet mass distribution |
| title_full | NNLL resummation of Sudakov shoulder logarithms in the heavy jet mass distribution |
| title_fullStr | NNLL resummation of Sudakov shoulder logarithms in the heavy jet mass distribution |
| title_full_unstemmed | NNLL resummation of Sudakov shoulder logarithms in the heavy jet mass distribution |
| title_short | NNLL resummation of Sudakov shoulder logarithms in the heavy jet mass distribution |
| title_sort | nnll resummation of sudakov shoulder logarithms in the heavy jet mass distribution |
| url | https://hdl.handle.net/1721.1/153011 |
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