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Two-Loop Helicity Amplitudes for Diphoton Plus Jet Production in Full Color.

Bakul Agarwal¹, Federico Buccioni², Andreas von Manteuffel¹

¹Department of Physics and Astronomy, Michigan State University, East Lansing, Michigan 48824, USA.

Physical Review Letters

|January 14, 2022

Summary

We calculated quantum chromodynamics (QCD) amplitudes for two-photon and jet production at hadron colliders. This breakthrough provides crucial, precise predictions for diphoton production, simplifying complex calculations.

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Area of Science:

High Energy Physics
Quantum Chromodynamics
Particle Physics

Background:

Precise predictions for particle production at hadron colliders are essential for interpreting experimental data.
Previous calculations for five-particle scattering processes were limited in accuracy beyond the leading-color approximation.
Diphoton production is a key process for probing the Standard Model and searching for new physics.

Purpose of the Study:

To compute the two-loop quantum chromodynamics (QCD) amplitudes for the production of two photons and a jet at hadron colliders.
To include full-color dependence in these calculations, going beyond the leading-color approximation.
To develop methodologies that simplify the calculation of multi-particle scattering processes.

Main Methods:

Employed perturbative quantum chromodynamics (QCD) at the two-loop level.
Calculated scattering amplitudes for a five-particle process (two photons and a jet).
Developed novel techniques to manage the complexity of radiative corrections and full-color dependence.

Main Results:

Presented the first-ever two-loop QCD amplitudes for a five-particle scattering process with full-color dependence.
Achieved calculations beyond the leading-color approximation at this perturbative order.
Demonstrated a significant simplification in the calculation of these complex amplitudes.

Conclusions:

The computed amplitudes are crucial for achieving reliable and unprecedented precision in diphoton production predictions at hadron colliders.
The developed methodologies offer a significant simplification and are applicable to a broader range of five-point scattering processes.
This work advances the precision of theoretical predictions in high-energy particle physics.