Non-Abelian Recoil Geometry and Infrared Holonomies in Heavy-Quark Transitions
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arXiv
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| Format: | Preprint |
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2026
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| _version_ | 1866908785536139264 |
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| author | Gamboa, Jorge Arellano, Natalia A. Tapia |
| author_facet | Gamboa, Jorge Arellano, Natalia A. Tapia |
| contents | We propose a geometric formulation of heavy-quark transitions in which infrared-dressed states are adiabatically transported in the multidimensional recoil space and acquire Berry holonomies. Within this framework, single-step decays are governed by an abelian geometric phase and reproduce the standard Isgur-Wise behaviour, while sequential decays probe genuinely non-Abelian holonomies associated with a two-dimensional recoil space. The resulting geometric structure correlates different decay channels and provides a unified interpretation of mixing effects and quasi-degenerate states in heavy-quark phenomenology. This approach suggests that several long-standing puzzles arise as geometric consequences of infrared dressing rather than as accidental features of the microscopic dynamics. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2601_17297 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Non-Abelian Recoil Geometry and Infrared Holonomies in Heavy-Quark Transitions Gamboa, Jorge Arellano, Natalia A. Tapia High Energy Physics - Phenomenology High Energy Physics - Theory We propose a geometric formulation of heavy-quark transitions in which infrared-dressed states are adiabatically transported in the multidimensional recoil space and acquire Berry holonomies. Within this framework, single-step decays are governed by an abelian geometric phase and reproduce the standard Isgur-Wise behaviour, while sequential decays probe genuinely non-Abelian holonomies associated with a two-dimensional recoil space. The resulting geometric structure correlates different decay channels and provides a unified interpretation of mixing effects and quasi-degenerate states in heavy-quark phenomenology. This approach suggests that several long-standing puzzles arise as geometric consequences of infrared dressing rather than as accidental features of the microscopic dynamics. |
| title | Non-Abelian Recoil Geometry and Infrared Holonomies in Heavy-Quark Transitions |
| topic | High Energy Physics - Phenomenology High Energy Physics - Theory |
| url | https://arxiv.org/abs/2601.17297 |