The Structure of n-Point One-Loop Open Superstring Amplitudes

Mafra, Carlos R.; Schlotterer, Oliver

doi:10.1007/JHEP08(2014)099

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The Structure of n-Point One-Loop Open Superstring Amplitudes

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Mafra, Carlos R.
Quantum Gravity & Unified Theories, AEI-Golm, MPI for Gravitational Physics, Max Planck Society;

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Schlotterer, Oliver
Quantum Gravity and Unified Theories, AEI Golm, MPI for Gravitational Physics, Max Planck Society;

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Citation

Mafra, C. R., & Schlotterer, O. (2014). The Structure of n-Point One-Loop Open Superstring Amplitudes. Journal of High Energy Physics, 2014(08): 099. doi:10.1007/JHEP08(2014)099.

Cite as: https://hdl.handle.net/11858/00-001M-0000-000F-8364-E

Abstract

In this article we present the worldsheet integrand for one-loop amplitudes in maximally supersymmetric superstring theory involving any number n of massless open string states. The polarization dependence is organized into the same BRST invariant kinematic combinations which also govern the leading string correction to tree level amplitudes. The dimensions of the bases for both the kinematics and the associated worldsheet integrals is found to be the unsigned Stirling number S_3^{n-1} of first kind. We explain why the same combinatorial structures govern on the one hand finite one-loop amplitudes of equal helicity states in pure Yang Mills theory and on the other hand the color tensors at quadratic alpha prime order of the color dressed tree amplitude.