Universality of Colored Scalars from the Stringy KLT Kernel

TL;DR

This paper reveals a universal structure underlying various scalar and pion scattering amplitudes, showing they originate from a single string-inspired kernel evaluated at different points, unifying diverse theories.

Contribution

It introduces the concept of the inverse string theory KLT kernel as a universal function unifying scalar, pion, and mixed amplitudes through the -shift, extending previous shifts and embedding theories in a stringy framework.

Findings

Demonstrates the universality of scattering amplitudes across different theories.

Introduces the -shift as a new method to relate amplitudes.

Shows all these amplitudes derive from a single kernel evaluated at different kinematic points.

Abstract

A new perspective on the inverse string theory Kawai-Lewellen-Tye (KLT) kernel is provided which establishes the universality of scattering amplitudes in the bi-adjoint scalar (BAS) theory, pions in the Non-linear sigma model (NLSM), and mixed amplitudes (NLSM+$\phi^3$) recently studied in the literature. We show that all these amplitudes can be viewed as equivalent, arising from a single function, the inverse string theory KLT kernel, evaluated at different kinematic points. In this way cubic colored scalars and pions become interchangeable through a procedure we call the $\alpha'$-shift. The latter complements the $\delta$-shift proposed by Arkani-Hamed et al., and demonstrates an inherent equivalence of scattering amplitudes in different quantum field theories by embedding them in a common stringy framework.