The Double Copy Structure of Soft Gravitons
arXiv:1412.3699 · doi:10.1007/JHEP03(2015)070
Abstract
The subleading corrections to factorization theorems for soft bremsstrahlung in nonabelian gauge theories and gravity are investigated in the case of a five point amplitude with four scalars. Building on recent results, we write the action of the angular momentum operators on scattering amplitudes as derivatives with respect to the Mandelstam invariants to uncover a double copy structure in the contribution of the soft graviton to the amplitude, both in the leading term and the first correction. Using our approach, we study Gribov's theorem as extended to nonabelian gauge theories and gravity by Lipatov, and find that subleading corrections can be obtained from those to Low's theorem by dropping the terms with derivatives with respect to the center-of-mass energy, which are suppressed at high energies. In this case, the emitted gravitons are not necessarily soft.
20 pages. LaTeX, 1 figure. v2: minor changes, references added. Matches the version published in Journal of High Energy Physics
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- Sub-subleading Soft Graviton Theorem in Generic Theories of Quantum Gravity
- Subleading Soft Theorem for Multiple Soft Gravitons
- Soft behavior of a closed massless state in superstring and universality in the soft behavior of the dilaton
- On the Lagrangian formulation of the double copy to cubic order
- Planar Zeros in Gauge Theories and Gravity
- Sudakov Representation of the Cachazo-He-Yuan Scattering Equations Formalism
- Soft-Theorems for Scalar Particles: The Dilatons Story