Two-loop helicity amplitudes for diphoton plus jet production in full color

Abstract

We present the complete two-loop corrections in massless QCD for the production of two photons and a jet, taking into account all color structures. In particular, we analytically compute all twoloop helicity amplitudes for the quark-antiquark, quark-gluon, and antiquark-gluon channel, and check them with an independent calculation of the polarization-summed interference with the tree amplitude. This is the first time that two-loop QCD corrections to a five-point scattering process have been computed beyond the leading-color approximation for all helicity configurations.

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

“…Note Added: After the completion of the current work, ref. [49] appeared. It provides the subleading-colour expressions for the two-loop amplitudes for this process.…”

Quark and gluon form factors in four-loop QCD

“…We compute the photon-quark and Higgs-gluon form factors to four-loop order within massless perturbative Quantum Chromodynamics. Our results constitute ready-to-use building blocks for N 4 LO cross sections for Drell-Yan processes and gluon-fusion Higgs boson production at the LHC. We present complete analytic expressions for both form factors and show several of the most complicated master integrals.…”

“…Also for 2 → 3 processes more and more results become available (see, e.g., Refs. [1][2][3][4][5][6][7]).…”

Bootstrapping a Two-Loop Four-Point Form Factor

“…These developments not only reveal rich mathematical structures in the formal aspects of QFTs, but also have important phenomenological applications such as in the Large Hadron Collider (LHC). At the moment, two-loop corrections for 2 → 3 processes have been at the frontier of amplitude computations which are under intense studies in last couple of years: based on the advancements of integral computations [3][4][5][6][7][8], a number of amplitudes have been obtained in compact analytic form, including all massless cases [9][10][11][12][13][14][15][16][17][18][19][20][21][22][23][24] and a two-loop five-point amplitude with one massive vector boson [25].…”