On the new factorizations of Yang-Mills amplitudes
Abstract In this work, we prove the new factorization pattern for tree-level Yang-Mills (YM) amplitudes proposed in the companion paper [1]. This pattern reveals a decomposition of amplitudes into a sum of gluings of lower-point amplitudes under specific kinematic constraints, making the hidden zero...
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| Format: | Article |
| Language: | English |
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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)074 |
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| author | Yong Zhang |
| author_facet | Yong Zhang |
| author_sort | Yong Zhang |
| collection | DOAJ |
| description | Abstract In this work, we prove the new factorization pattern for tree-level Yang-Mills (YM) amplitudes proposed in the companion paper [1]. This pattern reveals a decomposition of amplitudes into a sum of gluings of lower-point amplitudes under specific kinematic constraints, making the hidden zeros of YM amplitudes manifest. Utilizing the Cachazo-He-Yuan (CHY) formalism, we rigorously derive these factorizations by systematically analyzing the contributions of singular solutions to the scattering equations. Through the identification and application of key algebraic identities, we demonstrate how cancellations among terms uncover a recursive structure intricately tied to the hidden zeros. This work not only conclusively validates the proposed factorization but also provides new insights into the geometric and algebraic organization of YM amplitudes within the CHY framework. |
| format | Article |
| id | doaj-art-8e08df3ed78940edabe56b5b4d1b7ccf |
| institution | DOAJ |
| issn | 1029-8479 |
| language | English |
| publishDate | 2025-02-01 |
| publisher | SpringerOpen |
| record_format | Article |
| series | Journal of High Energy Physics |
| spelling | doaj-art-8e08df3ed78940edabe56b5b4d1b7ccf2025-08-20T03:03:57ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-012025214610.1007/JHEP02(2025)074On the new factorizations of Yang-Mills amplitudesYong Zhang0Perimeter Institute for Theoretical PhysicsAbstract In this work, we prove the new factorization pattern for tree-level Yang-Mills (YM) amplitudes proposed in the companion paper [1]. This pattern reveals a decomposition of amplitudes into a sum of gluings of lower-point amplitudes under specific kinematic constraints, making the hidden zeros of YM amplitudes manifest. Utilizing the Cachazo-He-Yuan (CHY) formalism, we rigorously derive these factorizations by systematically analyzing the contributions of singular solutions to the scattering equations. Through the identification and application of key algebraic identities, we demonstrate how cancellations among terms uncover a recursive structure intricately tied to the hidden zeros. This work not only conclusively validates the proposed factorization but also provides new insights into the geometric and algebraic organization of YM amplitudes within the CHY framework.https://doi.org/10.1007/JHEP02(2025)074Scattering AmplitudesField Theories in Higher Dimensions |
| spellingShingle | Yong Zhang On the new factorizations of Yang-Mills amplitudes Journal of High Energy Physics Scattering Amplitudes Field Theories in Higher Dimensions |
| title | On the new factorizations of Yang-Mills amplitudes |
| title_full | On the new factorizations of Yang-Mills amplitudes |
| title_fullStr | On the new factorizations of Yang-Mills amplitudes |
| title_full_unstemmed | On the new factorizations of Yang-Mills amplitudes |
| title_short | On the new factorizations of Yang-Mills amplitudes |
| title_sort | on the new factorizations of yang mills amplitudes |
| topic | Scattering Amplitudes Field Theories in Higher Dimensions |
| url | https://doi.org/10.1007/JHEP02(2025)074 |
| work_keys_str_mv | AT yongzhang onthenewfactorizationsofyangmillsamplitudes |