Surfaceology for Colored Yukawa Theory
Fuente:
arXiv
Saved in:
| Main Authors: | , , , , |
|---|---|
| Format: | Preprint |
| Published: |
2024
|
| Subjects: | |
| Online Access: | |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1866914954191306752 |
|---|---|
| author | De, Shounak Pokraka, Andrzej Skowronek, Marcos Spradlin, Marcus Volovich, Anastasia |
| author_facet | De, Shounak Pokraka, Andrzej Skowronek, Marcos Spradlin, Marcus Volovich, Anastasia |
| contents | Arkani-Hamed and collaborators have recently shown that scattering amplitudes for colored theories can be expressed as integrals over combinatorial objects simply constructed from surfaces decorated by kinematic data. In this paper we extend the curve integral formalism to theories with colored fermionic matter and present a compact formula for the all-loop, all-genus, all-multiplicity amplitude integrand of a colored Yukawa theory. The curve integral formalism makes certain properties of the amplitudes manifest and repackages non-trivial numerators into a single combinatorial object. We also present an efficient formula for $L$-loop integrated amplitudes in terms of a sum over $2^L$ combinatorial determinants. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_04411 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Surfaceology for Colored Yukawa Theory De, Shounak Pokraka, Andrzej Skowronek, Marcos Spradlin, Marcus Volovich, Anastasia High Energy Physics - Theory Arkani-Hamed and collaborators have recently shown that scattering amplitudes for colored theories can be expressed as integrals over combinatorial objects simply constructed from surfaces decorated by kinematic data. In this paper we extend the curve integral formalism to theories with colored fermionic matter and present a compact formula for the all-loop, all-genus, all-multiplicity amplitude integrand of a colored Yukawa theory. The curve integral formalism makes certain properties of the amplitudes manifest and repackages non-trivial numerators into a single combinatorial object. We also present an efficient formula for $L$-loop integrated amplitudes in terms of a sum over $2^L$ combinatorial determinants. |
| title | Surfaceology for Colored Yukawa Theory |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2406.04411 |