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| Autori principali: | , , |
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| Natura: | Preprint |
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2023
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| Accesso online: | https://arxiv.org/abs/2309.15836 |
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| _version_ | 1866929358723088384 |
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| author | Rodriguez, Carlos Schlotterer, Oliver Zhang, Yong |
| author_facet | Rodriguez, Carlos Schlotterer, Oliver Zhang, Yong |
| contents | One-loop scattering amplitudes in string theories involve configuration-space integrals over genus-one surfaces with coefficients of Kronecker-Eisenstein series in the integrand. A conjectural genus-one basis of integrands under Fay identities and integration by parts was recently constructed out of chains of Kronecker-Eisenstein series. In this work, we decompose a variety of more general genus-one integrands into the conjectural chain basis. The explicit form of the expansion coefficients is worked out for infinite families of cases where the Kronecker-Eisenstein series form cycles. Our results can be used to simplify multiparticle amplitudes in supersymmetric, heterotic and bosonic string theories and to investigate loop-level echoes of the field-theory double-copy structures of string tree-level amplitudes. The multitude of basis reductions in this work strongly validate the recently proposed chain basis and stimulate mathematical follow-up studies of more general configuration-space integrals with additional marked points or at higher genus. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2309_15836 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Basis decompositions of genus-one string integrals Rodriguez, Carlos Schlotterer, Oliver Zhang, Yong High Energy Physics - Theory One-loop scattering amplitudes in string theories involve configuration-space integrals over genus-one surfaces with coefficients of Kronecker-Eisenstein series in the integrand. A conjectural genus-one basis of integrands under Fay identities and integration by parts was recently constructed out of chains of Kronecker-Eisenstein series. In this work, we decompose a variety of more general genus-one integrands into the conjectural chain basis. The explicit form of the expansion coefficients is worked out for infinite families of cases where the Kronecker-Eisenstein series form cycles. Our results can be used to simplify multiparticle amplitudes in supersymmetric, heterotic and bosonic string theories and to investigate loop-level echoes of the field-theory double-copy structures of string tree-level amplitudes. The multitude of basis reductions in this work strongly validate the recently proposed chain basis and stimulate mathematical follow-up studies of more general configuration-space integrals with additional marked points or at higher genus. |
| title | Basis decompositions of genus-one string integrals |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2309.15836 |