Two-loop anomalous dimensions for small- R jet versus hadronic fragmentation functions
We study the collinear fragmentation of highly energetic jets defined with a small jet radius. In particular, we investigate how the corresponding fragmentation functions differ from their hadronic counterpart defined in the common MS¯ scheme. We find that the anomalous dimensions governing the pert...
| Main Authors: | , , , , , |
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| Format: | Journal article |
| Language: | English |
| Published: |
Springer
2024
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| _version_ | 1826313726102339584 |
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| author | van Beekveld, M Dasgupta, M El-Menoufi, BK Helliwell, J Karlberg, A Monni, PF |
| author_facet | van Beekveld, M Dasgupta, M El-Menoufi, BK Helliwell, J Karlberg, A Monni, PF |
| author_sort | van Beekveld, M |
| collection | OXFORD |
| description | We study the collinear fragmentation of highly energetic jets defined with a small jet radius. In particular, we investigate how the corresponding fragmentation functions differ from their hadronic counterpart defined in the common MS¯ scheme. We find that the anomalous dimensions governing the perturbative evolution of the two fragmentation functions differ starting at the two loop order. We compute for the first time the new anomalous dimensions at two loops and confirm our predictions by comparing the inclusive small-R jet spectrum against a fixed order perturbative calculation at O(αs2). To investigate the dependence of the anomalous dimension on the kinematic cutoff variable, we study the fragmentation functions of Cambridge jets defined with a transverse momentum cutoff as opposed to an angular cutoff R. We further study the evolution of the small-R fragmentation function with an alternative cutoff scale, proportional to zR, representing the maximum possible transverse momentum of emissions within a jet. In these cases we find that the two-loop anomalous dimensions coincide with the MS¯ DGLAP ones, highlighting a correspondence between the MS¯ scheme and a transverse-momentum cutoff. |
| first_indexed | 2024-09-25T04:19:29Z |
| format | Journal article |
| id | oxford-uuid:cb9b722c-2a6d-42fb-8dbc-3040c50d5a33 |
| institution | University of Oxford |
| language | English |
| last_indexed | 2024-09-25T04:19:29Z |
| publishDate | 2024 |
| publisher | Springer |
| record_format | dspace |
| spelling | oxford-uuid:cb9b722c-2a6d-42fb-8dbc-3040c50d5a332024-07-27T19:36:03ZTwo-loop anomalous dimensions for small- R jet versus hadronic fragmentation functionsJournal articlehttp://purl.org/coar/resource_type/c_dcae04bcuuid:cb9b722c-2a6d-42fb-8dbc-3040c50d5a33EnglishJisc Publications RouterSpringer2024van Beekveld, MDasgupta, MEl-Menoufi, BKHelliwell, JKarlberg, AMonni, PFWe study the collinear fragmentation of highly energetic jets defined with a small jet radius. In particular, we investigate how the corresponding fragmentation functions differ from their hadronic counterpart defined in the common MS¯ scheme. We find that the anomalous dimensions governing the perturbative evolution of the two fragmentation functions differ starting at the two loop order. We compute for the first time the new anomalous dimensions at two loops and confirm our predictions by comparing the inclusive small-R jet spectrum against a fixed order perturbative calculation at O(αs2). To investigate the dependence of the anomalous dimension on the kinematic cutoff variable, we study the fragmentation functions of Cambridge jets defined with a transverse momentum cutoff as opposed to an angular cutoff R. We further study the evolution of the small-R fragmentation function with an alternative cutoff scale, proportional to zR, representing the maximum possible transverse momentum of emissions within a jet. In these cases we find that the two-loop anomalous dimensions coincide with the MS¯ DGLAP ones, highlighting a correspondence between the MS¯ scheme and a transverse-momentum cutoff. |
| spellingShingle | van Beekveld, M Dasgupta, M El-Menoufi, BK Helliwell, J Karlberg, A Monni, PF Two-loop anomalous dimensions for small- R jet versus hadronic fragmentation functions |
| title | Two-loop anomalous dimensions for small- R jet versus hadronic fragmentation functions |
| title_full | Two-loop anomalous dimensions for small- R jet versus hadronic fragmentation functions |
| title_fullStr | Two-loop anomalous dimensions for small- R jet versus hadronic fragmentation functions |
| title_full_unstemmed | Two-loop anomalous dimensions for small- R jet versus hadronic fragmentation functions |
| title_short | Two-loop anomalous dimensions for small- R jet versus hadronic fragmentation functions |
| title_sort | two loop anomalous dimensions for small r jet versus hadronic fragmentation functions |
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