The three-point form factor of Tr ϕ 3 to six loops
Abstract We study the three-point form factor of the length-three half-BPS operator (Tr ϕ 3) in planar N $$ \mathcal{N} $$ = 4 Super-Yang-Mills theory, using analyticity and integrability methods. We find that the functions describing the form factor in perturbation theory live in the same restricti...
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SpringerOpen
2025-02-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP02(2025)034 |
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| author | Benjamin Basso Lance J. Dixon Alexander G. Tumanov |
| author_facet | Benjamin Basso Lance J. Dixon Alexander G. Tumanov |
| author_sort | Benjamin Basso |
| collection | DOAJ |
| description | Abstract We study the three-point form factor of the length-three half-BPS operator (Tr ϕ 3) in planar N $$ \mathcal{N} $$ = 4 Super-Yang-Mills theory, using analyticity and integrability methods. We find that the functions describing the form factor in perturbation theory live in the same restrictive space of multiple polylogarithms as the one describing the form factor of the stress-tensor operator (Tr ϕ 2). Furthermore, we find that the leading-order data in the collinear limit provided by the form factor operator product expansion (FFOPE) is enough to fix the form factor uniquely, at least through six loops. We perform various tests of our results using the subleading FFOPE corrections. We also analyze the form factor in the Regge limit where two Mandelstam invariants are large; we obtain a compact representation for the form factor in this limit which is valid to all orders in the coupling. |
| format | Article |
| id | doaj-art-637c5f026ef74194b56c9f6c64ece0a1 |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-637c5f026ef74194b56c9f6c64ece0a12025-02-09T12:08:48ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025214910.1007/JHEP02(2025)034The three-point form factor of Tr ϕ 3 to six loopsBenjamin Basso0Lance J. Dixon1Alexander G. Tumanov2Laboratoire de physique de l’Ecole normale supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université Paris-Diderot, Sorbonne Paris CitéSLAC National Accelerator Laboratory, Stanford UniversityLaboratoire de physique de l’Ecole normale supérieure, ENS, Université PSL, CNRS, Sorbonne Université, Université Paris-Diderot, Sorbonne Paris CitéAbstract We study the three-point form factor of the length-three half-BPS operator (Tr ϕ 3) in planar N $$ \mathcal{N} $$ = 4 Super-Yang-Mills theory, using analyticity and integrability methods. We find that the functions describing the form factor in perturbation theory live in the same restrictive space of multiple polylogarithms as the one describing the form factor of the stress-tensor operator (Tr ϕ 2). Furthermore, we find that the leading-order data in the collinear limit provided by the form factor operator product expansion (FFOPE) is enough to fix the form factor uniquely, at least through six loops. We perform various tests of our results using the subleading FFOPE corrections. We also analyze the form factor in the Regge limit where two Mandelstam invariants are large; we obtain a compact representation for the form factor in this limit which is valid to all orders in the coupling.https://doi.org/10.1007/JHEP02(2025)034Scattering AmplitudesSupersymmetric Gauge Theory |
| spellingShingle | Benjamin Basso Lance J. Dixon Alexander G. Tumanov The three-point form factor of Tr ϕ 3 to six loops Journal of High Energy Physics Scattering Amplitudes Supersymmetric Gauge Theory |
| title | The three-point form factor of Tr ϕ 3 to six loops |
| title_full | The three-point form factor of Tr ϕ 3 to six loops |
| title_fullStr | The three-point form factor of Tr ϕ 3 to six loops |
| title_full_unstemmed | The three-point form factor of Tr ϕ 3 to six loops |
| title_short | The three-point form factor of Tr ϕ 3 to six loops |
| title_sort | three point form factor of tr ϕ 3 to six loops |
| topic | Scattering Amplitudes Supersymmetric Gauge Theory |
| url | https://doi.org/10.1007/JHEP02(2025)034 |
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