Abstract
We calculate the NNLO QCD corrections to diphoton production with an additional jet at the LHC. Our calculation represents the first NNLO-accurate prediction for the transverse momentum distribution of the diphoton system. The improvement in the accuracy of the theoretical prediction is significant, by a factor of up to four relative to NLO QCD as estimated through scale variations. Our calculation is exact except for the finite remainder of the two-loop amplitude which is included at leading color. The numerical impact of this approximated contribution is small. The results of this work are expected to further our understanding of the Higgs boson sector and of the behavior of higher-order corrections to LHC processes.
Highlights
Our calculation is exact except for the finite remainder of the two-loop amplitude which is included at leading color
The main reason the pT distribution of the diphoton system is of special interest is that it represents the main background for Higgs production at high pT
High-pT Higgs production is relevant for Dark Matter searches [18, 19] and for disentangling the nature of the Higgs boson’s local vertex [20] which is not possible at low pT where the effective ggh vertex describes Higgs production well
Summary
The calculation is performed in the STRIPPER approach [24,25,26]. The approach has already been applied in the calculation of NNLO QCD corrections to top-pair [27,28,29,30,31], inclusive jet [32], three-photon [15], W +c jet [33], identified B-hadron [34] and polarized W -pair [35] production at the LHC. We first separate the finite remainders H(2)(μ2R) of the two-loop amplitudes from their infrared poles The latter can be predicted exactly and we have included them, including their finite contributions, without any approximation. In terms of the scale dependence of the two-loop finite remainder H(2) Further details about the implementation of the leading color approximation of the two-loop finite remainder can be found in ref. Since in this work we are primarily concerned with perturbative convergence and estimates of missing higher-order corrections, we have not included pdf error estimates. We expect that those are not dominant over the scale variation in the kinematic ranges considered here. Infrared safety is ensured by the pT (γγ) cut specified above
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