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Identities amongst the Two Loop Partial Amplitudes of Yang-Mills theory
David C. Dunbar
We characterise possible identities among the two-loop partial amplitudes of gluon scattering in Yang-Mills theory. We use known amplitudes in an exhaustive search to identify pote…
Loop Amplitudes in an Extended Gravity Theory
David C. Dunbar, John H. Godwin, Guy R. Jehu +1
We extend the -matrix of gravity by the addition of the minimal three-point amplitude or equivalently adding terms to the Lagrangian. We demonstrate how Unitarity can be u…
Analytic all-plus-helicity gluon amplitudes in QCD
David C. Dunbar, John H. Godwin, Guy R. Jehu +1
We detail the calculation of two-loop all-plus helicity amplitudes for pure Yang-Mills theory. The four dimensional unitarity methods and augmented recursion techniques we have dev…
Diagrammar in an Extended Theory of Gravity
David C. Dunbar, John H. Godwin, Guy R. Jehu +1
We show how the -matrix of an extended theory of gravity defined by its three-point amplitudes can be constructed by demanding factorisation. The resultant -matrix has tree a…
Two-Loop Gravity amplitudes from four dimensional Unitarity
David C. Dunbar, Guy R. Jehu, Warren B. Perkins
We compute the polylogarithmic parts of the two-loop four and five-graviton amplitudes where the external helicities are positive and express these in a simple compact analytic for…
Two-loop six gluon all plus helicity amplitude
David C. Dunbar, Warren B. Perkins
We present an analytic expression for the six-point all-plus helicity amplitude in QCD at two-loops. We compute the rational terms in a compact analytic form organised by their sin…