Abstract
We find new relations for the non-universal part of the Yang-Mills amplitudes by combining the KLT-relation and the soft behavior of gauge and gravity amplitudes. We also extend the relations to include contributions from effective operators.
Highlights
Much of the recent progress in calculating gravitational scattering amplitudes relies the connection between gauge amplitudes and gravity amplitudes [35, 36]
We study the connection between gravity and gauge soft theorems via the KLT-relations
We further study the insertion of effective operators, which start contributing at sub-leading order
Summary
We will show the connection between the soft factors of gauge theory and gravity using the KLT-formula. At sub-subleading order in the soft expansion we find new relations between tree-level amplitudes. The SY(iM) is the ith subleading soft factor of an amplitude with a soft spin-1 particle, and for gravity. The non-universal part of the Yang-Mills amplitude enters at sub-subleading order. In the KLT-formula, two Yang-Mills amplitudes with different color-ordering are required: An(t, σ, n−1, n) and An(n−1, ρ, n, t). The soft limit of the Yang-Mills amplitude is given by the soft factors in equation (2.7). We use (n + 1)-point and n-point momentum conservation, given by n λi = −. When first using momentum conservation before applying the soft factors, the total derivatives reduce to partial derivatives
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