One-loop four-graviton string amplitude at finite $α'$
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arXiv
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| Format: | Preprint |
| Published: |
2025
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| _version_ | 1866915814365462528 |
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| author | Baccianti, Marco Maria Eberhardt, Lorenz Mizera, Sebastian |
| author_facet | Baccianti, Marco Maria Eberhardt, Lorenz Mizera, Sebastian |
| contents | We evaluate the one-loop four-graviton scattering amplitude in type-II superstring theory exactly in $α'$. This result is achieved by combining physical insights into the $i\varepsilon$ prescription in string theory with a new technical application of the Rademacher expansion of modular integrals. We provide an implementation of our formula in $\texttt{C++}$ and use it to study the behavior of the amplitude at finite $α'$ and in different kinematic regimes. Our analysis reveals a tension between explicit computations and the saddle point analysis of Gross and Mende in the high-energy limit and suggests the presence of additional saddle points. |
| format | Preprint |
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arxiv_https___arxiv_org_abs_2507_22105 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | One-loop four-graviton string amplitude at finite $α'$ Baccianti, Marco Maria Eberhardt, Lorenz Mizera, Sebastian High Energy Physics - Theory We evaluate the one-loop four-graviton scattering amplitude in type-II superstring theory exactly in $α'$. This result is achieved by combining physical insights into the $i\varepsilon$ prescription in string theory with a new technical application of the Rademacher expansion of modular integrals. We provide an implementation of our formula in $\texttt{C++}$ and use it to study the behavior of the amplitude at finite $α'$ and in different kinematic regimes. Our analysis reveals a tension between explicit computations and the saddle point analysis of Gross and Mende in the high-energy limit and suggests the presence of additional saddle points. |
| title | One-loop four-graviton string amplitude at finite $α'$ |
| topic | High Energy Physics - Theory |
| url | https://arxiv.org/abs/2507.22105 |