The one-loop four-graviton Type II superstring amplitude is extended to seventh order in the low-energy expansion, giving a new D14R4 term and a revised general form with single-valued multiple zeta values and zeta-logarithmic derivatives.
Integral of depth zero to three basis of Modular Graph Functions
1 Pith paper cite this work. Polarity classification is still indexing.
1
Pith paper citing it
abstract
Modular Graph Functions (MGFs) are SL(2,$\mathbb{Z}$)-invariant functions that emerge in the study of the low-energy expansion of the one-loop closed string amplitude. To find the string scattering amplitude, we must integrate MGFs over the moduli space of the torus. In this paper, we use the iterated integral representation of MGFs to establish a depth-dependent basis for them, where "depth" refers to the number of iterations in the integral. This basis has a suitable Laplace equation. We integrate this basis from depth zero to depth three over the fundamental domain of SL(2,$\mathbb{Z}$) with a cut-off.
citation-role summary
background 1
citation-polarity summary
fields
hep-th 1years
2024 1verdicts
CONDITIONAL 1roles
background 1polarities
background 1representative citing papers
citing papers explorer
-
Type II superstring amplitude at one-loop and transcendentality
The one-loop four-graviton Type II superstring amplitude is extended to seventh order in the low-energy expansion, giving a new D14R4 term and a revised general form with single-valued multiple zeta values and zeta-logarithmic derivatives.