The Sudakov radiator for jet observables and the soft physical coupling
Abstract We present a procedure to calculate the Sudakov radiator for a generic recursive infrared and collinear (rIRC) safe observable whose distribution is characterised by two widely separated momentum scales. We give closed formulae for the radiator at next-to-next-to-leading-logarithmic (NNLL)...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
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SpringerOpen
2019-01-01
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| Series: | Journal of High Energy Physics |
| Subjects: | |
| Online Access: | http://link.springer.com/article/10.1007/JHEP01(2019)083 |
| _version_ | 1818264532734181376 |
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| author | Andrea Banfi Basem Kamal El-Menoufi Pier Francesco Monni |
| author_facet | Andrea Banfi Basem Kamal El-Menoufi Pier Francesco Monni |
| author_sort | Andrea Banfi |
| collection | DOAJ |
| description | Abstract We present a procedure to calculate the Sudakov radiator for a generic recursive infrared and collinear (rIRC) safe observable whose distribution is characterised by two widely separated momentum scales. We give closed formulae for the radiator at next-to-next-to-leading-logarithmic (NNLL) accuracy, which completes the general NNLL resummation for this class of observables in the ARES method for processes with two emitters at the Born level. As a byproduct, we define a physical coupling in the soft limit, and we provide an explicit expression for its relation to the M S ¯ $$ \overline{\mathrm{MS}} $$ coupling up to O α s 3 $$ \mathcal{O}\left({\alpha}_s^3\right) $$ . This physical coupling constitutes one of the ingredients for a NNLL accurate parton shower algorithm. As an application we obtain analytic NNLL results, of which several are new, for all angularities τ x defined with respect to both the thrust axis and the winner-take-all axis, and for the moments of energy-energy correlation FC x in e + e − annihilation. For the latter observables we find that, for some values of x, an accurate prediction of the peak of the differential distribution requires a simultaneous resummation of the logarithmic terms originating from the two-jet limit and at the Sudakov shoulder. |
| first_indexed | 2024-12-12T19:36:25Z |
| format | Article |
| id | doaj.art-6600f663038948b4b622d82168522613 |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-12T19:36:25Z |
| publishDate | 2019-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj.art-6600f663038948b4b622d821685226132022-12-22T00:14:18ZengSpringerOpenJournal of High Energy Physics1029-84792019-01-012019114010.1007/JHEP01(2019)083The Sudakov radiator for jet observables and the soft physical couplingAndrea Banfi0Basem Kamal El-Menoufi1Pier Francesco Monni2Department of Physics and Astronomy, University of SussexDepartment of Physics and Astronomy, University of SussexCERN, Theoretical Physics DepartmentAbstract We present a procedure to calculate the Sudakov radiator for a generic recursive infrared and collinear (rIRC) safe observable whose distribution is characterised by two widely separated momentum scales. We give closed formulae for the radiator at next-to-next-to-leading-logarithmic (NNLL) accuracy, which completes the general NNLL resummation for this class of observables in the ARES method for processes with two emitters at the Born level. As a byproduct, we define a physical coupling in the soft limit, and we provide an explicit expression for its relation to the M S ¯ $$ \overline{\mathrm{MS}} $$ coupling up to O α s 3 $$ \mathcal{O}\left({\alpha}_s^3\right) $$ . This physical coupling constitutes one of the ingredients for a NNLL accurate parton shower algorithm. As an application we obtain analytic NNLL results, of which several are new, for all angularities τ x defined with respect to both the thrust axis and the winner-take-all axis, and for the moments of energy-energy correlation FC x in e + e − annihilation. For the latter observables we find that, for some values of x, an accurate prediction of the peak of the differential distribution requires a simultaneous resummation of the logarithmic terms originating from the two-jet limit and at the Sudakov shoulder.http://link.springer.com/article/10.1007/JHEP01(2019)083Perturbative QCDResummation |
| spellingShingle | Andrea Banfi Basem Kamal El-Menoufi Pier Francesco Monni The Sudakov radiator for jet observables and the soft physical coupling Journal of High Energy Physics Perturbative QCD Resummation |
| title | The Sudakov radiator for jet observables and the soft physical coupling |
| title_full | The Sudakov radiator for jet observables and the soft physical coupling |
| title_fullStr | The Sudakov radiator for jet observables and the soft physical coupling |
| title_full_unstemmed | The Sudakov radiator for jet observables and the soft physical coupling |
| title_short | The Sudakov radiator for jet observables and the soft physical coupling |
| title_sort | sudakov radiator for jet observables and the soft physical coupling |
| topic | Perturbative QCD Resummation |
| url | http://link.springer.com/article/10.1007/JHEP01(2019)083 |
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