4.4 Article

Three-loop helicity amplitudes for diphoton production in gluon fusion

Journal

JOURNAL OF HIGH ENERGY PHYSICS
Volume -, Issue 2, Pages -

Publisher

SPRINGER
DOI: 10.1007/JHEP02(2022)153

Keywords

NLO Computations; QCD Phenomenology

Funding

  1. ERC [804394 HipQCD, 949279]
  2. U.K. Science and Technology Facilities Council (STFC) [ST/T000864/1]
  3. National Science Foundation [2013859]
  4. Excellence Cluster ORIGINS - Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) under Germany's Excellence Strategy [EXC-2094 -390783311]
  5. Royal Society [URF/R1/191125]
  6. European Research Council (ERC) [949279] Funding Source: European Research Council (ERC)

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This study is of great importance for calculating the NNLO QCD corrections to diphoton production in gluon fusion. The researchers employed a new method to calculate scattering amplitudes, providing accurate and compact analytical results.
We present a calculation of the helicity amplitudes for the process gg -> gamma gamma in three-loop massless QCD. We employ a recently proposed method to calculate scattering amplitudes in the 't Hooft-Veltman scheme that reduces the amount of spurious non-physical information needed at intermediate stages of the computation. Our analytic results for the three-loop helicity amplitudes are remarkably compact, and can be efficiently evaluated numerically. This calculation provides the last missing building block for the computation of NNLO QCD corrections to diphoton production in gluon fusion.

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