Abstract

We investigate the behavior of superstring disk scattering amplitudes in the presence of a soft external momentum at finite string tension. We prove that there are no α′-corrections to the field theory form of the subleading soft factor S (1). At the end of this work, we also comment on the possibility to find the corresponding subleading soft factors in closed string theory using our result and the KLT relations.

Highlights

  • The subleading factors depend on the angular momentum operators Jiμν = Lμi ν + Siμν where Lμi ν is the orbital angular momentum operator of particle i and Siμν is the spin contribution

  • We investigate the behavior of superstring disk scattering amplitudes in the presence of a soft external momentum at finite string tension

  • We prove that there are no α′-corrections to the field theory form of the subleading soft factor S(1)

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Summary

Conventions and general definitions

Superstring disk scattering amplitudes with N external particles, valid for any dimension D, any compactification and any amount of supersymmetry can be given in a surprisingly compact form [31, 32]. Color-ordered (super) Yang-Mills amplitudes and by F σ(α′) the generalized Euler integrals which carry the full α′-dependence of the string amplitudes. The specific color order of the string scattering amplitude is indicated by the subscript There is no reference to any particular helicity choices, so the results given in the following are true for any choice of helicity structure for the string scattering amplitude. N ) is the N particle string disk scattering amplitude. In the following we will make use of this result and its derivation (which can be found in [32])

Soft limit for disk scattering amplitudes
Approximation for Euler integrals
Reassembling the subleading factor
Soft expansion of the 4pt disk amplitude
Soft expansion of the 5pt disk amplitude
Closed strings and soft factors from KLT
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