Abstract
We show how to double copy heavy quark effective theory (HQET) to heavy black hole effective theory (HBET) for spin s≤1. In particular, the double copy of spin-s HQET with scalar QCD produces spin-s HBET, while the double copy of spin-1/2 HQET with itself gives spin-1 HBET. Finally, we present novel all-order-in-mass Lagrangians for spin-1 heavy particles.
Highlights
As heavy quark effective theory (HQET) [52] is derived from QCD and heavy black hole effective theory (HBET) [53] is derived from gravity with massive particles, HBET amplitudes should be obtainable as double copies of HQET amplitudes
We show through direct computation that the tree-level threepoint and Compton amplitudes of HQET and HBET satisfy the schematic relations ðQCDs1⁄40Þ × ðHQETsÞ 1⁄4 HBETs; ð1aÞ
In the two sections we demonstrate the double copy at tree level for three-point and Compton amplitudes for spins 0, 1=2, and 1, respectively
Summary
As heavy quark effective theory (HQET) [52] is derived from QCD and heavy black hole effective theory (HBET) [53] is derived from gravity with massive particles, HBET amplitudes should be obtainable as double copies of HQET amplitudes. In the two sections we demonstrate the double copy at tree level for three-point and Compton amplitudes for spins 0, 1=2, and 1, respectively. For the cases under consideration in this Letter, the application of the double copy will yield a well-defined gravitational amplitude.] In general, n0i and ni need not come from the same gauge theory, and only one of the sets must satisfy the color-kinematics duality.
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