Built on

F. E. Low, Bremsstrahlung of very low-energy quanta in elementary particle collisions,
1958
Earlier work this paper cites.
S. Weinberg, Photons and Gravitons in S-Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass,
1965
Earlier work this paper cites.
V. N. Gribov, Bremsstrahlung of hadrons at high energies,
1967
Earlier work this paper cites.
T. H. Burnett and N. M. Kroll, Extension of the low soft photon theorem,
1968
Earlier work this paper cites.
H. Kawai, D. C. Lewellen and S. H. H. Tye, A Relation Between Tree Amplitudes of Closed and Open Strings,
1986
Earlier work this paper cites.
L. N. Lipatov, Massless Particle Bremsstrahlung Theorems for High-energy Hadron Interactions,
1988
Earlier work this paper cites.

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2014

The Double Copy Structure of Soft Gravitons

Vera, Agustin Sabio, Vazquez-Mozo, Miguel A.

Understand

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.

Built on

F. E. Low, Bremsstrahlung of very low-energy quanta in elementary particle collisions,
1958
Earlier work this paper cites.
S. Weinberg, Photons and Gravitons in S-Matrix Theory: Derivation of Charge Conservation and Equality of Gravitational and Inertial Mass,
1965
Earlier work this paper cites.
V. N. Gribov, Bremsstrahlung of hadrons at high energies,
1967
Earlier work this paper cites.
T. H. Burnett and N. M. Kroll, Extension of the low soft photon theorem,
1968
Earlier work this paper cites.
H. Kawai, D. C. Lewellen and S. H. H. Tye, A Relation Between Tree Amplitudes of Closed and Open Strings,
1986
Earlier work this paper cites.
L. N. Lipatov, Massless Particle Bremsstrahlung Theorems for High-energy Hadron Interactions,
1988
Earlier work this paper cites.