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Relationship Between Gravity and Gauge Scattering in the High Energy Limit
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Investigations of high-energy graviton-graviton and gluon-gluon scattering are performed in the leading eikonal approximation for the kinematic regime of large center of mass energy and low momentum transfer. We find a double copy relation between the amplitudes of the two theories to all loop orders when, on the gauge theory side, we retain only the set of diagrams at each loop order for which the collinear divergences cancel amongst themselves. For this to happen the color structure of all diagrams in the set must be identical. Using standard field theoretic methods, it is shown that this relation is reflected in a similar double copy relationship between the classical shockwaves of the two theories as well.
Forward citations
Cited by 2 Pith papers
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A tale of two exponentiations in ${\cal N}=8$ supergravity
The paper derives a closed all-orders formula for the leading high-energy part of the N=8 supergravity remainder function, confirming the recent three-loop calculation and predicting new terms at four loops and beyond.
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Shift symmetries, soft limits, and the double copy beyond leading order
For higher-derivative corrections, shift symmetry no longer guarantees double-copy compatibility; even-point amplitudes can be made compatible by tuning coefficients, odd-point ones cannot.
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