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| Main Author: | |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2502.13633 |
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| _version_ | 1866915357060497408 |
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| author | Jeong, Jaehoon |
| author_facet | Jeong, Jaehoon |
| contents | We propose a novel $R_ξ$ gauge in the five-vector (5V) framework within the Abelian Higgs model. In the Cartesian basis of the complex Higgs field, the 5V $R_ξ$ gauge ensures non-divergent tree-level amplitudes for each Feynman diagram in the high-energy limit. This framework pinpoints the origin of high-energy divergences in tree-level amplitudes for each diagram, providing a criterion for quantifying the degree of divergences from other gauges. The 5V description necessitates treating the Goldstone field as the fifth gauge-field component, offering deeper insight into the dynamics of massive gauge bosons, particularly its longitudinal mode. The impact of this framework is demonstrated by rigorously comparing tree-level amplitudes from the 5V $R_ξ$ gauge with those from the conventional 4V $R_ξ$ gauge and the Feynman diagram gauge, the latter of which exhibits no gauge cancellation, similar to the 5V $R_ξ$ gauge. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2502_13633 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | No gauge cancellation at high energy in the five-vector $R_ξ$ gauge Jeong, Jaehoon High Energy Physics - Phenomenology We propose a novel $R_ξ$ gauge in the five-vector (5V) framework within the Abelian Higgs model. In the Cartesian basis of the complex Higgs field, the 5V $R_ξ$ gauge ensures non-divergent tree-level amplitudes for each Feynman diagram in the high-energy limit. This framework pinpoints the origin of high-energy divergences in tree-level amplitudes for each diagram, providing a criterion for quantifying the degree of divergences from other gauges. The 5V description necessitates treating the Goldstone field as the fifth gauge-field component, offering deeper insight into the dynamics of massive gauge bosons, particularly its longitudinal mode. The impact of this framework is demonstrated by rigorously comparing tree-level amplitudes from the 5V $R_ξ$ gauge with those from the conventional 4V $R_ξ$ gauge and the Feynman diagram gauge, the latter of which exhibits no gauge cancellation, similar to the 5V $R_ξ$ gauge. |
| title | No gauge cancellation at high energy in the five-vector $R_ξ$ gauge |
| topic | High Energy Physics - Phenomenology |
| url | https://arxiv.org/abs/2502.13633 |