Pion and colored scalar amplitudes are two readings of the same inverse KLT kernel, related by the alpha-prime shift.
For our purposes we then replace δ→± 1/α′ where we are free to choose signs thanks to (20)
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Universality of Colored Scalars from the Stringy KLT Kernel
Pion and colored scalar amplitudes are two readings of the same inverse KLT kernel, related by the alpha-prime shift.