Independently parameterised momenta variables and Monte Carlo IR subtraction

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We introduce a system of parameters for the Monte Carlo generation of Lorentz invariant phase space that is particularly well-suited to the treatment of the infrared divergences that occur in the most singular, Born-like configurations of 1 → n QCD processes. A key feature is that particle momenta are generated independently of one another, leading to a simple parameterisation of all such IR limits. We exemplify the use of these variables in conjunction with the projection to Born subtraction technique at next-to-next-to-leading order. The geometric origins of this parameterisation lie in a coordinate chart on a Grassmannian manifold.

A preprint version of the article is available at ArXiv.


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Correspondence to Tom Melia.

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ArXiv ePrint: 1809.09325

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Cox, P., Melia, T. Independently parameterised momenta variables and Monte Carlo IR subtraction. J. High Energ. Phys. 2018, 38 (2018).

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  • NLO Computations
  • QCD Phenomenology