Evaluating one-loop string amplitudes

Eberhardt, Lorenz; Mizera, Sebastian

doi:10.21468/SciPostPhys.15.3.119

Evaluating one-loop string amplitudes

Feb 24, 2023

101 pages

Published in:

SciPost Phys. 15 (2023) 3, 119,
SciPost Phys. 15 (2023) 119

Published: Sep 27, 2023

e-Print:

2302.12733 [hep-th]

DOI:

10.21468/SciPostPhys.15.3.119

View in:

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Abstract: (SciPost Fundation)

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.

Note:

101 pages, many figures

string: scattering amplitude
loop integral: 1
n-point function: 4
moduli space
number theory
superstring

References(51)

Figures(9)

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