Hemisphere mass up to four-loops with generalised $$k_t$$ k t algorithms
Abstract We compute the fixed-order distribution of the non-global hemisphere mass observable in $$e^+e^-$$ e + e - annihilation up to four loops for various sequential recombination jet algorithms. In particular, we focus on the $$k_t$$ k t and Cambridge/Aachen algorithms. Using eikonal theory and...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2025-08-01
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| Series: | European Physical Journal C: Particles and Fields |
| Online Access: | https://doi.org/10.1140/epjc/s10052-025-14569-0 |
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| author | Kamel Khelifa-Kerfa Mohamed Benghanem |
| author_facet | Kamel Khelifa-Kerfa Mohamed Benghanem |
| author_sort | Kamel Khelifa-Kerfa |
| collection | DOAJ |
| description | Abstract We compute the fixed-order distribution of the non-global hemisphere mass observable in $$e^+e^-$$ e + e - annihilation up to four loops for various sequential recombination jet algorithms. In particular, we focus on the $$k_t$$ k t and Cambridge/Aachen algorithms. Using eikonal theory and strong-energy ordering of the final-state partons, we determine the complete structure of both abelian (clustering) and non-abelian non-global logarithms through four loops in perturbation theory. We compare the resulting resummed expressions for both jet algorithms with the standard Sudakov form factor and demonstrate that neglecting these logarithms leads to unreliable phenomenological predictions for the observable’s distribution. |
| format | Article |
| id | doaj-art-28b92ba419f540f2b8f10ef708cc763d |
| institution | DOAJ |
| issn | 1434-6052 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | European Physical Journal C: Particles and Fields |
| spelling | doaj-art-28b92ba419f540f2b8f10ef708cc763d2025-08-20T03:05:57ZengSpringerOpenEuropean Physical Journal C: Particles and Fields1434-60522025-08-0185811310.1140/epjc/s10052-025-14569-0Hemisphere mass up to four-loops with generalised $$k_t$$ k t algorithmsKamel Khelifa-Kerfa0Mohamed Benghanem1Department of Physics, Faculty of Science and Technology, University Ahmed Zabana of RelizaneDepartment of Physics, Faculty of Science, Islamic University of MadinahAbstract We compute the fixed-order distribution of the non-global hemisphere mass observable in $$e^+e^-$$ e + e - annihilation up to four loops for various sequential recombination jet algorithms. In particular, we focus on the $$k_t$$ k t and Cambridge/Aachen algorithms. Using eikonal theory and strong-energy ordering of the final-state partons, we determine the complete structure of both abelian (clustering) and non-abelian non-global logarithms through four loops in perturbation theory. We compare the resulting resummed expressions for both jet algorithms with the standard Sudakov form factor and demonstrate that neglecting these logarithms leads to unreliable phenomenological predictions for the observable’s distribution.https://doi.org/10.1140/epjc/s10052-025-14569-0 |
| spellingShingle | Kamel Khelifa-Kerfa Mohamed Benghanem Hemisphere mass up to four-loops with generalised $$k_t$$ k t algorithms European Physical Journal C: Particles and Fields |
| title | Hemisphere mass up to four-loops with generalised $$k_t$$ k t algorithms |
| title_full | Hemisphere mass up to four-loops with generalised $$k_t$$ k t algorithms |
| title_fullStr | Hemisphere mass up to four-loops with generalised $$k_t$$ k t algorithms |
| title_full_unstemmed | Hemisphere mass up to four-loops with generalised $$k_t$$ k t algorithms |
| title_short | Hemisphere mass up to four-loops with generalised $$k_t$$ k t algorithms |
| title_sort | hemisphere mass up to four loops with generalised k t k t algorithms |
| url | https://doi.org/10.1140/epjc/s10052-025-14569-0 |
| work_keys_str_mv | AT kamelkhelifakerfa hemispheremassuptofourloopswithgeneralisedktktalgorithms AT mohamedbenghanem hemispheremassuptofourloopswithgeneralisedktktalgorithms |