Landau Singularities of the 7-Point Ziggurat II
Fuente:
arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2023
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| _version_ | 1866909233390288896 |
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| author | Lippstreu, Luke Spradlin, Marcus Srikant, Akshay Yelleshpur Volovich, Anastasia |
| author_facet | Lippstreu, Luke Spradlin, Marcus Srikant, Akshay Yelleshpur Volovich, Anastasia |
| contents | We solve the Landau equations to find the singularities of nine three-loop 7-point graphs that arise as relaxations of the graph studied in arXiv:2211.16425. Along the way we establish that $Y{-}Δ$ equivalence fails for certain branches of solutions to the Landau equations. We find two graphs with singularities outside the heptagon symbol alphabet; in particular they are not cluster variables of ${\rm Gr}(4,7)$. We compare maximal residues of scalar graphs exhibiting these singularities to those in $\mathcal{N}=4$ super-Yang-Mills theory in order to probe their cancellation from its amplitudes. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2305_17069 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Landau Singularities of the 7-Point Ziggurat II Lippstreu, Luke Spradlin, Marcus Srikant, Akshay Yelleshpur Volovich, Anastasia High Energy Physics - Theory We solve the Landau equations to find the singularities of nine three-loop 7-point graphs that arise as relaxations of the graph studied in arXiv:2211.16425. Along the way we establish that $Y{-}Δ$ equivalence fails for certain branches of solutions to the Landau equations. We find two graphs with singularities outside the heptagon symbol alphabet; in particular they are not cluster variables of ${\rm Gr}(4,7)$. We compare maximal residues of scalar graphs exhibiting these singularities to those in $\mathcal{N}=4$ super-Yang-Mills theory in order to probe their cancellation from its amplitudes. |
| title | Landau Singularities of the 7-Point Ziggurat II |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2305.17069 |