Type II superstring amplitude at one-loop and transcendentality
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arXiv
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| Format: | Preprint |
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2024
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| _version_ | 1866915322822393856 |
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| author | Claasen, Emiel Doroudiani, Mehregan |
| author_facet | Claasen, Emiel Doroudiani, Mehregan |
| contents | We calculate the four-graviton scattering amplitude in Type II superstring theory at one loop up to seventh order in the low-energy expansion through the recently developed iterated integral formalism of Modular Graph Functions (MGFs). The machinery of the novel method allows us to propose a general form of the amplitude, which suggests that the expansion is expressible in terms of single-valued multiple zeta values and logarithmic derivatives of the Riemann zeta function at positive and negative odd integers. Furthermore, we comment on the transcendental behavior of the amplitude. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2412_04381 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Type II superstring amplitude at one-loop and transcendentality Claasen, Emiel Doroudiani, Mehregan High Energy Physics - Theory Number Theory We calculate the four-graviton scattering amplitude in Type II superstring theory at one loop up to seventh order in the low-energy expansion through the recently developed iterated integral formalism of Modular Graph Functions (MGFs). The machinery of the novel method allows us to propose a general form of the amplitude, which suggests that the expansion is expressible in terms of single-valued multiple zeta values and logarithmic derivatives of the Riemann zeta function at positive and negative odd integers. Furthermore, we comment on the transcendental behavior of the amplitude. |
| title | Type II superstring amplitude at one-loop and transcendentality |
| topic | High Energy Physics - Theory Number Theory |
| url | https://arxiv.org/abs/2412.04381 |