تقرير
Basis decompositions of genus-one string integrals
| العنوان: | Basis decompositions of genus-one string integrals |
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| المؤلفون: | Rodriguez, Carlos, Schlotterer, Oliver, Zhang, Yong |
| سنة النشر: | 2023 |
| المجموعة: | High Energy Physics - Theory |
| مصطلحات موضوعية: | High Energy Physics - Theory |
| الوصف: | 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. Comment: 56+8 pages, 9 figures. The companion paper 2403.18078 provides a Mathematica implementation. v2: minimal cosmetic changes, matches the published version in JHEP |
| نوع الوثيقة: | Working Paper |
| DOI: | 10.1007/JHEP05(2024)256 |
| URL الوصول: | http://arxiv.org/abs/2309.15836 |
| رقم الأكسشن: | edsarx.2309.15836 |
| قاعدة البيانات: | arXiv |
| DOI: | 10.1007/JHEP05(2024)256 |
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