TY  - JOUR
PB  - SciPost Foundation
DO  - 10.21468/SciPostPhys.15.3.119
TI  - Evaluating one-loop string amplitudes
PY  - 2023/09/27
UR  - https://www.scipost.org/SciPostPhys.15.3.119
JF  - SciPost Physics
JA  - SciPost Phys.
VL  - 15
IS  - 3
SP  - 119
A1  - Eberhardt, Lorenz
AU  - Mizera, Sebastian
AB  - We evaluate one-loop open-string amplitudes at finite $\alpha'$ for the first time. Our method involves a deformation of the integration contour over the modular parameter $\tau$ to a fractal contour introduced by Rademacher in the context of analytic number theory. This procedure leads to explicit and practical formulas for the one-loop four-point amplitudes in type-I superstring theory, amenable to numerical evaluation. We plot the amplitudes as a function of the Mandelstam invariants $s$ and $t$ and directly verify long-standing conjectures about their behaviour at high energies.
ER  -

@Article{10.21468/SciPostPhys.15.3.119,
	title={{Evaluating one-loop string amplitudes}},
	author={Lorenz Eberhardt and Sebastian Mizera},
	journal={SciPost Phys.},
	volume={15},
	pages={119},
	year={2023},
	publisher={SciPost},
	doi={10.21468/SciPostPhys.15.3.119},
	url={https://scipost.org/10.21468/SciPostPhys.15.3.119},
}