Type II superstring amplitude at one-loop and transcendentality

2024/12/05 by Emiel Claasen, Claasen, Emiel, Mehregan Doroudiani +1 · 3 citations
Computer Science · Physics and Astronomy · #Algorithms and Data Compression #Black Holes and Theoretical Physics #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Number Theory (math.NT) #Particle physics theoretical and experimental studies

paper · pdf · doi:10.48550/arxiv.2412.04381

openalex publication_date 2024/12/05 · openalex created_date 2024/12/07 · openalex updated_date 2026/07/28

Abstract

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.

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