Clustering logarithms up to six loops
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arXiv
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| Format: | Preprint |
| Published: |
2024
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| _version_ | 1866915347485949952 |
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| author | Khelifa-Kerfa, K. |
| author_facet | Khelifa-Kerfa, K. |
| contents | We compute the leading clustering (abelian non-global) logarithms, which arise in the distribution of non-global QCD observables when final-state partons are clustered using the $k_t$ jet algorithm, up to six loops in perturbation theory. Our calculations are based on the recently introduced formula for the analytic structure of $k_t$ clustering [1]. These logarithms exhibit a pattern of exponentiation and are subsequently resummed into an exponential form. We compare this resummed result with all-orders numerical calculations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_03244 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Clustering logarithms up to six loops Khelifa-Kerfa, K. High Energy Physics - Phenomenology We compute the leading clustering (abelian non-global) logarithms, which arise in the distribution of non-global QCD observables when final-state partons are clustered using the $k_t$ jet algorithm, up to six loops in perturbation theory. Our calculations are based on the recently introduced formula for the analytic structure of $k_t$ clustering [1]. These logarithms exhibit a pattern of exponentiation and are subsequently resummed into an exponential form. We compare this resummed result with all-orders numerical calculations. |
| title | Clustering logarithms up to six loops |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2412.03244 |