A two-loop four-point form factor at function level
Abstract Recently, the maximally-helicity-violating four-point form factor for the chiral stress-energy tensor in planar N $$ \mathcal{N} $$ = 4 super Yang-Mills was computed to three loops at the level of the symbol associated with multiple polylogarithms. It exhibits antipodal self-duality, or inv...
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2025-01-01
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| Series: | Journal of High Energy Physics |
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| Online Access: | https://doi.org/10.1007/JHEP01(2025)012 |
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| author | Lance J. Dixon Shuo Xin |
| author_facet | Lance J. Dixon Shuo Xin |
| author_sort | Lance J. Dixon |
| collection | DOAJ |
| description | Abstract Recently, the maximally-helicity-violating four-point form factor for the chiral stress-energy tensor in planar N $$ \mathcal{N} $$ = 4 super Yang-Mills was computed to three loops at the level of the symbol associated with multiple polylogarithms. It exhibits antipodal self-duality, or invariance under the combined action of a kinematic map and reversing the ordering of letters in the symbol. Here we lift the two-loop form factor from symbol level to function level. We provide an iterated representation of the function’s derivatives (coproducts). In order to do so, we find a three-parameter limit of the five-parameter phase space where the symbol’s letters are all rational. We also use function-level information about dihedral symmetries and the soft, collinear, and factorization limits, as well as limits governed by the form-factor operator product expansion (FFOPE). We provide plots of the remainder function on several kinematic slices, and show that the result is compatible with the FFOPE data. We further verify that antipodal self-duality is valid at two loops beyond the level of the symbol. |
| format | Article |
| id | doaj-art-752a12327b534f628ca9f38ff420912a |
| institution | Kabale University |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-752a12327b534f628ca9f38ff420912a2025-01-19T12:06:43ZengSpringerOpenJournal of High Energy Physics1029-84792025-01-012025113610.1007/JHEP01(2025)012A two-loop four-point form factor at function levelLance J. Dixon0Shuo Xin1SLAC National Accelerator Laboratory, Stanford UniversitySLAC National Accelerator Laboratory, Stanford UniversityAbstract Recently, the maximally-helicity-violating four-point form factor for the chiral stress-energy tensor in planar N $$ \mathcal{N} $$ = 4 super Yang-Mills was computed to three loops at the level of the symbol associated with multiple polylogarithms. It exhibits antipodal self-duality, or invariance under the combined action of a kinematic map and reversing the ordering of letters in the symbol. Here we lift the two-loop form factor from symbol level to function level. We provide an iterated representation of the function’s derivatives (coproducts). In order to do so, we find a three-parameter limit of the five-parameter phase space where the symbol’s letters are all rational. We also use function-level information about dihedral symmetries and the soft, collinear, and factorization limits, as well as limits governed by the form-factor operator product expansion (FFOPE). We provide plots of the remainder function on several kinematic slices, and show that the result is compatible with the FFOPE data. We further verify that antipodal self-duality is valid at two loops beyond the level of the symbol.https://doi.org/10.1007/JHEP01(2025)012Scattering AmplitudesSupersymmetric Gauge TheoryWilson’t Hooft and Polyakov loops |
| spellingShingle | Lance J. Dixon Shuo Xin A two-loop four-point form factor at function level Journal of High Energy Physics Scattering Amplitudes Supersymmetric Gauge Theory Wilson ’t Hooft and Polyakov loops |
| title | A two-loop four-point form factor at function level |
| title_full | A two-loop four-point form factor at function level |
| title_fullStr | A two-loop four-point form factor at function level |
| title_full_unstemmed | A two-loop four-point form factor at function level |
| title_short | A two-loop four-point form factor at function level |
| title_sort | two loop four point form factor at function level |
| topic | Scattering Amplitudes Supersymmetric Gauge Theory Wilson ’t Hooft and Polyakov loops |
| url | https://doi.org/10.1007/JHEP01(2025)012 |
| work_keys_str_mv | AT lancejdixon atwoloopfourpointformfactoratfunctionlevel AT shuoxin atwoloopfourpointformfactoratfunctionlevel AT lancejdixon twoloopfourpointformfactoratfunctionlevel AT shuoxin twoloopfourpointformfactoratfunctionlevel |