NNLO QCD corrections to diphoton production with an additional jet at the LHC

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. 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.

Tour de force in Quantum Chromodynamics: A first next-to-next-to-leading order study of three-jet production at the LHC

“…The computation has been performed within the sector-improved residue subtraction scheme formalism [28,29] which has already been successfully applied to single inclusive jet production [24] and many other hadron collider processes, see refs. [30][31][32]. We work in five-flavour massless QCD without the top quark.…”

Decomposition of Triple Collinear Splitting Functions

“…1 At NNLO, calculations are mostly limited to 2 → 2 kinematics like, for example, di-jet production [6,7], vector-boson-plus-jet production [8][9][10], photon-plus-jet-production [11,12] or top quark pair production [13,14]. Recent progress in the derivation of two-loop 2 → 3 scattering amplitudes has led to calculations for three-photon production [15], diphoton-plus-jet production [16] and three-jet production [17]. Several infrared subtraction methods have been developed for NNLO calculations (see Ref.…”

Three-loop helicity amplitudes for quark-gluon scattering in QCD

“…In recent years, significant progress has been achieved for the reduction of loop integrals to master integrals and their analytical evaluation, resulting in the calculation of previously inaccessible multiloop amplitudes. At two loops, various QCD amplitudes became available for 2 → 3 scattering processes involving mostly massless particles , paving the way for the first Next-to-Next-to-Leading-Order (NNLO) studies at LHC [28][29][30]. At three loops, first QCD amplitudes were computed for 2 → 2 scattering processes [31][32][33][34].…”