Two-Loop Spacelike Splitting Amplitude for N=4 Super-Yang-Mills Theory
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arXiv
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| Autori principali: | , , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| _version_ | 1866910554372702208 |
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| author | Henn, Johannes Ma, Rourou Xu, Yongqun Yan, Kai Zhang, Yang Zhu, Hua Xing |
| author_facet | Henn, Johannes Ma, Rourou Xu, Yongqun Yan, Kai Zhang, Yang Zhu, Hua Xing |
| contents | The study of collinear behavior for gauge theories in the spacelike region is of great phenomenological and theoretical importance. We analytically calculate the two-loop spacelike splitting amplitude for the full color N=4 Super-Yang-Mills theory. The result is derived by two complementary methods starting from the known amplitude: one is based on a discontinuity analysis, while the other one is based on analytic continuation. Our result explicitly shows terms that violate naive factorization. However we show that factorization is restored at the level of color-summed unpolarized squared amplitudes at next-to-next-to-next-to leading order. We conjecture that the two-loop tripole terms in the generalized splitting amplitudes in QCD are identical to what we obtain in N=4 super Yang-Mills theory. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_14604 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Two-Loop Spacelike Splitting Amplitude for N=4 Super-Yang-Mills Theory Henn, Johannes Ma, Rourou Xu, Yongqun Yan, Kai Zhang, Yang Zhu, Hua Xing High Energy Physics - Theory High Energy Physics - Phenomenology The study of collinear behavior for gauge theories in the spacelike region is of great phenomenological and theoretical importance. We analytically calculate the two-loop spacelike splitting amplitude for the full color N=4 Super-Yang-Mills theory. The result is derived by two complementary methods starting from the known amplitude: one is based on a discontinuity analysis, while the other one is based on analytic continuation. Our result explicitly shows terms that violate naive factorization. However we show that factorization is restored at the level of color-summed unpolarized squared amplitudes at next-to-next-to-next-to leading order. We conjecture that the two-loop tripole terms in the generalized splitting amplitudes in QCD are identical to what we obtain in N=4 super Yang-Mills theory. |
| title | Two-Loop Spacelike Splitting Amplitude for N=4 Super-Yang-Mills Theory |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2406.14604 |