Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality
Abstract Form factors, as quantities involving both local operators and asymptotic particle states, contain information of both the spectrum of operators and the on-shell amplitudes. So far the studies of form factors have been mostly focused on the large N c planar limit, with a few exceptions of S...
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| Format: | Article |
| Language: | English |
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SpringerOpen
2021-04-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP04(2021)176 |
| _version_ | 1819291252198211584 |
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| author | Guanda Lin Gang Yang |
| author_facet | Guanda Lin Gang Yang |
| author_sort | Guanda Lin |
| collection | DOAJ |
| description | Abstract Form factors, as quantities involving both local operators and asymptotic particle states, contain information of both the spectrum of operators and the on-shell amplitudes. So far the studies of form factors have been mostly focused on the large N c planar limit, with a few exceptions of Sudakov form factors. In this paper, we discuss the systematical construction of full color dependent form factors with generic local operators. We study the color decomposition for form factors and discuss the general strategy of using on-shell unitarity cut method. As concrete applications, we compute the full two-loop non-planar minimal form factors for both half-BPS operators and non-BPS operators in the SU(2) sector in N $$ \mathcal{N} $$ = 4 SYM. Another important aspect is to investigate the color-kinematics (CK) duality for form factors of high-length operators. Explicit CK dual representation is found for the two-loop half-BPS minimal form factors with arbitrary number of external legs. The full-color two-loop form factor result provides an independent check of the infrared dipole formula for two-loop n-point amplitudes. By extracting the UV divergences, we also reproduce the known non-planar SU(2) dilatation operator at two loops. As for the finite remainder function, interestingly, the non-planar part is found to contain a new maximally transcendental part beyond the known planar result. |
| first_indexed | 2024-12-24T03:35:41Z |
| format | Article |
| id | doaj.art-74ef6e2a66bb48659bf86e4c95d55d9f |
| institution | Directory Open Access Journal |
| issn | 1029-8479 |
| language | English |
| last_indexed | 2024-12-24T03:35:41Z |
| publishDate | 2021-04-01 |
| publisher | SpringerOpen |
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| series | Journal of High Energy Physics |
| spelling | doaj.art-74ef6e2a66bb48659bf86e4c95d55d9f2022-12-21T17:17:05ZengSpringerOpenJournal of High Energy Physics1029-84792021-04-012021418510.1007/JHEP04(2021)176Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics dualityGuanda Lin0Gang Yang1School of Physics, Peking UniversityCAS Key Laboratory of Theoretical Physics, Institute of Theoretical Physics, Chinese Academy of SciencesAbstract Form factors, as quantities involving both local operators and asymptotic particle states, contain information of both the spectrum of operators and the on-shell amplitudes. So far the studies of form factors have been mostly focused on the large N c planar limit, with a few exceptions of Sudakov form factors. In this paper, we discuss the systematical construction of full color dependent form factors with generic local operators. We study the color decomposition for form factors and discuss the general strategy of using on-shell unitarity cut method. As concrete applications, we compute the full two-loop non-planar minimal form factors for both half-BPS operators and non-BPS operators in the SU(2) sector in N $$ \mathcal{N} $$ = 4 SYM. Another important aspect is to investigate the color-kinematics (CK) duality for form factors of high-length operators. Explicit CK dual representation is found for the two-loop half-BPS minimal form factors with arbitrary number of external legs. The full-color two-loop form factor result provides an independent check of the infrared dipole formula for two-loop n-point amplitudes. By extracting the UV divergences, we also reproduce the known non-planar SU(2) dilatation operator at two loops. As for the finite remainder function, interestingly, the non-planar part is found to contain a new maximally transcendental part beyond the known planar result.https://doi.org/10.1007/JHEP04(2021)176Scattering AmplitudesSpace-Time SymmetriesSupersymmetric Gauge Theory |
| spellingShingle | Guanda Lin Gang Yang Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality Journal of High Energy Physics Scattering Amplitudes Space-Time Symmetries Supersymmetric Gauge Theory |
| title | Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality |
| title_full | Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality |
| title_fullStr | Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality |
| title_full_unstemmed | Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality |
| title_short | Non-planar form factors of generic local operators via on-shell unitarity and color-kinematics duality |
| title_sort | non planar form factors of generic local operators via on shell unitarity and color kinematics duality |
| topic | Scattering Amplitudes Space-Time Symmetries Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP04(2021)176 |
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