PIRSA:25100202 Scientific Series Quantum Fields and Strings

DOI10.48660/25100202

Series: Quantum Fields and Strings

Morales, A. (2025). From twistorial theories to QCD: computing two-loop amplitudes with the chiral algebra bootstrap. Perimeter Institute. https://pirsa.org/25100202

Morales, Anthony. From twistorial theories to QCD: computing two-loop amplitudes with the chiral algebra bootstrap. Perimeter Institute, Oct. 28, 2025, https://pirsa.org/25100202 

@misc{ pirsa_PIRSA:25100202,
  doi = {10.48660/25100202},
  url = {https://pirsa.org/25100202},
  author = {Morales, Anthony},
  keywords = {Quantum Fields and Strings},
  language = {en},
  title = {From twistorial theories to QCD: computing two-loop amplitudes with the chiral algebra bootstrap},
  publisher = {Perimeter Institute},
  year = {2025},
  month = {oct},
  note = {PIRSA:25100202 see, \url{https://pirsa.org}}
}

Abstract

A few years ago, Costello and Paquette proposed the chiral algebra (CA) bootstrap for computing loop-level amplitudes in non-supersymmetric gauge theories. The main limitation of this method is that it applies only to twistorial theories rather than to QCD, the theory relevant at hadron colliders. In this talk, I will nonetheless show how the CA bootstrap can still help in the computation of certain two-loop QCD amplitudes. I will begin with reviewing the basics of twistorial theories and the CA bootstrap. I will then explain some consequences of these results on one-loop and two-loop QCD amplitudes. Next, I will use CA bootstrap results to give an n-gluon result for a specific two-loop partial amplitude. Finally, I will show that the two-loop all-plus-helicity n-gluon amplitude of QCD is given by CA bootstrap results and lower-loop amplitudes.

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