Abstract
We use the antenna subtraction method to isolate the double real radiation infrared singularities present in gluonic scattering amplitudes at next-to-next-to-leading order. The antenna subtraction framework has been successfully applied to the calculation of NNLO corrections to the 3-jet cross section and related event shape distributions in electron-positron annihilation. Here we consider processes with two coloured particles in the initial state, and in particular two-jet production at hadron colliders such as the Large Hadron Collider (LHC). We construct a subtraction term that describes the single and double unresolved contributions from the six-gluon tree-level process using antenna functions with initial state partons and show numerically that the subtraction term correctly approximates the matrix elements in the various single and double unresolved configurations.
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Glover, E.W.N., Pires, J. Antenna subtraction for gluon scattering at NNLO. J. High Energ. Phys. 2010, 96 (2010). https://doi.org/10.1007/JHEP06(2010)096
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DOI: https://doi.org/10.1007/JHEP06(2010)096