A high-precision result for a full-color three-loop three-point form factor in ${\cal N}=4$ SYM
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arXiv
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| Autori principali: | , , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866911786940235776 |
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| author | Guan, Xin Lin, Guanda Liu, Xiao Ma, Yan-Qing Yang, Gang |
| author_facet | Guan, Xin Lin, Guanda Liu, Xiao Ma, Yan-Qing Yang, Gang |
| contents | We perform a high-precision computation of the three-loop three-point form factor of the stress-tensor supermultiplet in ${\cal N}=4$ SYM. Both the leading-color and non-leading-color form factors are expanded in terms of simple integrals. We compute the complete set of integrals at a special kinematic point with very high precision using $\mathtt{AMFlow}$. The high-precision leading-color result enables us to obtain the analytic form of a numerical constant in the three-loop BDS ansatz, which is previously known only numerically. The high-precision values of the non-leading-color finite remainder as well as all integrals are also presented, which can be valuable for future use. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_04395 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A high-precision result for a full-color three-loop three-point form factor in ${\cal N}=4$ SYM Guan, Xin Lin, Guanda Liu, Xiao Ma, Yan-Qing Yang, Gang High Energy Physics - Theory High Energy Physics - Phenomenology We perform a high-precision computation of the three-loop three-point form factor of the stress-tensor supermultiplet in ${\cal N}=4$ SYM. Both the leading-color and non-leading-color form factors are expanded in terms of simple integrals. We compute the complete set of integrals at a special kinematic point with very high precision using $\mathtt{AMFlow}$. The high-precision leading-color result enables us to obtain the analytic form of a numerical constant in the three-loop BDS ansatz, which is previously known only numerically. The high-precision values of the non-leading-color finite remainder as well as all integrals are also presented, which can be valuable for future use. |
| title | A high-precision result for a full-color three-loop three-point form factor in ${\cal N}=4$ SYM |
| topic | High Energy Physics - Theory High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2309.04395 |