6533b82dfe1ef96bd1291fe3

RESEARCH PRODUCT

Relations for Einstein–Yang–Mills amplitudes from the CHY representation

Leonardo De La CruzAlexander KnissStefan Weinzierl

subject

High Energy Physics - TheoryNuclear and High Energy PhysicsTrace (linear algebra)High Energy Physics::LatticeFOS: Physical sciencesYang–Mills existence and mass gap01 natural sciencessymbols.namesakeGeneral Relativity and Quantum CosmologyHigh Energy Physics::TheoryQuantum mechanics0103 physical sciencesEinstein010306 general physicsLinear combinationMathematical physicsPhysicsCondensed Matter::Quantum GasesIntroduction to gauge theoryGauge boson010308 nuclear & particles physicsHigh Energy Physics::PhenomenologyGravitonlcsh:QC1-999High Energy Physics - Theory (hep-th)Supersymmetric gauge theorysymbolslcsh:Physics

description

We show that a recently discovered relation, which expresses tree-level single trace Einstein-Yang-Mills amplitudes with one graviton and $(n-1)$ gauge bosons as a linear combination of pure Yang-Mills tree amplitudes with $n$ gauge bosons, can be derived from the CHY representation. In addition we show that there is a generalisation, which expresses tree-level single trace Einstein-Yang-Mills amplitudes with $r$ gravitons and $(n-r)$ gauge bosons as a linear combination of pure Yang-Mills tree amplitudes with $n$ gauge bosons. We present a general formula for this case.

10.1016/j.physletb.2017.01.036http://dx.doi.org/10.1016/j.physletb.2017.01.036