Maximal-Helicity-Violating Scattering of Gluons and Gravitons in Chiral Strong Fields

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Abstract

We present all-multiplicity formulas for the tree-level scattering of gluons and gravitons in the maximal helicity violating (MHV) helicity configuration, calculated in certain chiral strong fields. The strong backgrounds we consider are self-dual plane waves in gauge theory and general relativity, which are treated exactly and admit a well-defined S matrix. The gauge theory background-coupled MHV amplitude is simply a dressed analog of the familiar Parke-Taylor formula, but the gravitational version has nontrivial new structures due to graviton tails. Both formulas have just one residual integral rather than the n-2 expected at n points from space-time perturbation theory; this simplification arises from the integrability of self-dual backgrounds and their corresponding twistor description. The resulting formulas pass several consistency checks and limit to the well-known expressions for MHV scattering of gluons and gravitons when the background becomes trivial.

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Adamo, T., Mason, L., & Sharma, A. (2020). Maximal-Helicity-Violating Scattering of Gluons and Gravitons in Chiral Strong Fields. Physical Review Letters, 125(4). https://doi.org/10.1103/PhysRevLett.125.041602

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