Type II superstring amplitude at one-loop and transcendentality

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.

6 pages; Submission includes ancillary data file; v3: Sections rearranged and minor changes - version appeared in PRL

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Cited by in corpus (2)

• From Modular Graph Forms to Iterated Integrals
• One-loop four-graviton string amplitude at finite ${\alpha }^{\prime }$