The integrated iterated single-unresolved approximate cross section in CoLoRFulNNLO for hadron collisions is a convolution of the Born cross section with an insertion operator.
Nested soft-collinear subtractions in NNLO QCD computations
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abstract
We discuss a modification of the next-to-next-to-leading order (NNLO) subtraction scheme based on the residue-improved sector decomposition that reduces the number of double-real emission sectors from five to four. In particular, a sector where energies and angles of unresolved particles vanish in a correlated fashion is redundant and can be discarded. This simple observation allows us to formulate a transparent iterative subtraction procedure for double-real emission contributions, to demonstrate the cancellation of soft and collinear singularities in an explicit and (almost) process-independent way and to write the result of a NNLO calculation in terms of quantities that can be computed in four space-time dimensions. We illustrate this procedure explicitly in the simple case of $O(\alpha_s^2)$ gluonic corrections to the Drell-Yan process of $q \bar q$ annihilation into a lepton pair. We show that this framework leads to fast and numerically stable computation of QCD corrections.
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N³LO QCD predictions for photon-pair production are presented, demonstrating perturbative convergence.
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citing papers explorer
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CoLoRFulNNLO for hadron collisions: integrating the iterated single unresolved subtraction terms
The integrated iterated single-unresolved approximate cross section in CoLoRFulNNLO for hadron collisions is a convolution of the Born cross section with an insertion operator.
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Next-to-next-to-next-to-leading order QCD corrections to photon-pair production
N³LO QCD predictions for photon-pair production are presented, demonstrating perturbative convergence.
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On the reconstruction of kinematic distributions computed with Monte Carlo methods using orthogonal basis functions
A method to approximate kinematic distributions from Monte Carlo events using coefficients of orthogonal basis functions produces smooth curves and removes bin-to-bin fluctuations in subtracted perturbative calculations.
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Les Houches 2023 -- Physics at TeV Colliders: Report on the Standard Model Precision Wishlist
The report reviews progress since 2021 in fixed-order computations for LHC applications and identifies processes requiring missing higher-order corrections to match anticipated experimental precision.