Perturbative Consequences of Curing Twistor Anomalies in Self-Dual Yang-Mills

by Anthony Morales (SLAC)

Friday 1 Nov 2024, 12:30 → 14:30 America/Los_Angeles

48/2-224 - Madrone (SLAC)

Self-dual Yang-Mills (sdYM) obtains a gauge anomaly when uplifted to twistor space. Curing this anomaly renders the S-matrix of the Minkowski-space theory trivial. We will review the required conditions to cancel the anomaly, then we will explore how the vanishing of the 1-loop amplitude in sdYM implies relations among the gauge-invariant partial amplitudes that comprise the full amplitude. We will then turn our attention to two-loops, where this vanishing will have an effect on the analytic structure of the two-loop all-plus amplitude in massless QCD. In fact, the novel celestial chiral algebra (CCA) bootstrap can predict two-loop all-plus amplitudes for an arbitrary number of external gluons in theories where the one-loop all-plus amplitude vanishes. Finally, we will see how to leverage the CCA results to more efficiently compute two-loop all-plus amplitudes to higher multiplicity in standard massless QCD.