Structure of massive gauge/gravity scattering amplitudes, equivalence theorems, and extended double-copy with compactified warped space
Abstract We study the structure of scattering amplitudes of massive Kaluza-Klein (KK) states in the compactified 5-dimensional warped gauge and gravity theories. We present systematic formulations of the gauge theory equivalence theorem (GAET) and the gravitational equivalence theorem (GRET) for war...
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| 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)001 |
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| author | Yanfeng Hang Wei-Wei Zhao Hong-Jian He Yin-Long Qiu |
| author_facet | Yanfeng Hang Wei-Wei Zhao Hong-Jian He Yin-Long Qiu |
| author_sort | Yanfeng Hang |
| collection | DOAJ |
| description | Abstract We study the structure of scattering amplitudes of massive Kaluza-Klein (KK) states in the compactified 5-dimensional warped gauge and gravity theories. We present systematic formulations of the gauge theory equivalence theorem (GAET) and the gravitational equivalence theorem (GRET) for warped KK theories in R ξ gauge, where the GAET connects the scattering amplitudes of longitudinal KK gauge bosons to that of the corresponding KK Goldstone bosons and the GRET connects the scattering amplitudes of KK gravitons of helicity-zero (helicity-one) to that of the corresponding gravitational scalar (vector) KK Goldstone bosons. We analyze the structure of 3-point and 4-point scattering amplitudes of massive KK gauge bosons and of massive KK gravitons as well as of the KK Goldstone bosons at tree level. We first prove the GAET and GRET explicitly for the fundamental 3-point KK gauge/gravity scattering amplitudes. We then demonstrate that the validity of the GAET and GRET for 4-point gauge/gravity scattering amplitudes can be reduced to the validity of GAET and GRET for 3-point gauge/gravity scattering amplitudes. With these, we study the double-copy construction of KK scattering amplitudes in the warped gauge/gravity theories. We newly realize the double-copy for massive 3-point full gauge/gravity amplitudes under the color-kinematics correspondence and the gauge-gravity coupling correspondence at tree level, whereas we can construct extended double-copy for 4-point KK gauge/gravity scattering amplitudes to the leading order (LO) of high energy expansion. We further demonstrate that this LO double-copy construction can be extended to N-point KK scattering amplitudes with N ⩾ 4. |
| format | Article |
| id | doaj-art-fab6907869e74556a21f1762e6e9b751 |
| 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-fab6907869e74556a21f1762e6e9b7512025-02-09T12:08:39ZengSpringerOpenJournal of High Energy Physics1029-84792025-02-0120252110310.1007/JHEP02(2025)001Structure of massive gauge/gravity scattering amplitudes, equivalence theorems, and extended double-copy with compactified warped spaceYanfeng Hang0Wei-Wei Zhao1Hong-Jian He2Yin-Long Qiu3Department of Physics and Astronomy, Northwestern UniversityTsung-Dao Lee Institute & School of Physics and Astronomy, Key Laboratory for Particle Astrophysics and Cosmology, Shanghai Key Laboratory for Particle Physics and Cosmology, Shanghai Jiao Tong UniversityTsung-Dao Lee Institute & School of Physics and Astronomy, Key Laboratory for Particle Astrophysics and Cosmology, Shanghai Key Laboratory for Particle Physics and Cosmology, Shanghai Jiao Tong UniversityTsung-Dao Lee Institute & School of Physics and Astronomy, Key Laboratory for Particle Astrophysics and Cosmology, Shanghai Key Laboratory for Particle Physics and Cosmology, Shanghai Jiao Tong UniversityAbstract We study the structure of scattering amplitudes of massive Kaluza-Klein (KK) states in the compactified 5-dimensional warped gauge and gravity theories. We present systematic formulations of the gauge theory equivalence theorem (GAET) and the gravitational equivalence theorem (GRET) for warped KK theories in R ξ gauge, where the GAET connects the scattering amplitudes of longitudinal KK gauge bosons to that of the corresponding KK Goldstone bosons and the GRET connects the scattering amplitudes of KK gravitons of helicity-zero (helicity-one) to that of the corresponding gravitational scalar (vector) KK Goldstone bosons. We analyze the structure of 3-point and 4-point scattering amplitudes of massive KK gauge bosons and of massive KK gravitons as well as of the KK Goldstone bosons at tree level. We first prove the GAET and GRET explicitly for the fundamental 3-point KK gauge/gravity scattering amplitudes. We then demonstrate that the validity of the GAET and GRET for 4-point gauge/gravity scattering amplitudes can be reduced to the validity of GAET and GRET for 3-point gauge/gravity scattering amplitudes. With these, we study the double-copy construction of KK scattering amplitudes in the warped gauge/gravity theories. We newly realize the double-copy for massive 3-point full gauge/gravity amplitudes under the color-kinematics correspondence and the gauge-gravity coupling correspondence at tree level, whereas we can construct extended double-copy for 4-point KK gauge/gravity scattering amplitudes to the leading order (LO) of high energy expansion. We further demonstrate that this LO double-copy construction can be extended to N-point KK scattering amplitudes with N ⩾ 4.https://doi.org/10.1007/JHEP02(2025)001Field Theories in Higher DimensionsGauge-Gravity CorrespondenceScattering Amplitudes |
| spellingShingle | Yanfeng Hang Wei-Wei Zhao Hong-Jian He Yin-Long Qiu Structure of massive gauge/gravity scattering amplitudes, equivalence theorems, and extended double-copy with compactified warped space Journal of High Energy Physics Field Theories in Higher Dimensions Gauge-Gravity Correspondence Scattering Amplitudes |
| title | Structure of massive gauge/gravity scattering amplitudes, equivalence theorems, and extended double-copy with compactified warped space |
| title_full | Structure of massive gauge/gravity scattering amplitudes, equivalence theorems, and extended double-copy with compactified warped space |
| title_fullStr | Structure of massive gauge/gravity scattering amplitudes, equivalence theorems, and extended double-copy with compactified warped space |
| title_full_unstemmed | Structure of massive gauge/gravity scattering amplitudes, equivalence theorems, and extended double-copy with compactified warped space |
| title_short | Structure of massive gauge/gravity scattering amplitudes, equivalence theorems, and extended double-copy with compactified warped space |
| title_sort | structure of massive gauge gravity scattering amplitudes equivalence theorems and extended double copy with compactified warped space |
| topic | Field Theories in Higher Dimensions Gauge-Gravity Correspondence Scattering Amplitudes |
| url | https://doi.org/10.1007/JHEP02(2025)001 |
| work_keys_str_mv | AT yanfenghang structureofmassivegaugegravityscatteringamplitudesequivalencetheoremsandextendeddoublecopywithcompactifiedwarpedspace AT weiweizhao structureofmassivegaugegravityscatteringamplitudesequivalencetheoremsandextendeddoublecopywithcompactifiedwarpedspace AT hongjianhe structureofmassivegaugegravityscatteringamplitudesequivalencetheoremsandextendeddoublecopywithcompactifiedwarpedspace AT yinlongqiu structureofmassivegaugegravityscatteringamplitudesequivalencetheoremsandextendeddoublecopywithcompactifiedwarpedspace |