8 February 2024
High Energy Physics - Theory
Expresses closed string amplitudes via open/closed string amplitudes
Provides explicit 4-, 5-, 6-point amplitude factorizations
Generalizes to $n$-point amplitude relations
Addresses integration contour correction terms
Corrections negligible in field theory limit
Factorizing closed string scattering into open strings
This paper establishes mathematical relationships to express closed string scattering amplitudes in terms of products of amplitudes involving open strings and a single closed string. Through complex variable transformations, closed string amplitudes with $n$ points are shown to factorize into combinations of amplitudes with $n-2$ open strings and one closed string. Explicit expressions are provided for 4-, 5-, and 6-point cases. More general $n$-point relations are also formulated. Possible correction terms from contour integration are addressed, which become negligible in field theory limits.
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