Erik Lundstrum, Columbia, [HET Seminar] Agentic AI for QCD perturbation theory or: how I learned to stop worrying and love the bot

Lattice QCD matrix elements of effective weak operators must be combined with Wilson coefficients that are calculated in perturbation theory using dimensional regularization. Doing so requires an intermediate regularization-independent (RI) renormalization scheme. We have recently completed a one-loop calculation of the RI to $\overline{\text{MS}}$ renormalization scheme conversion factors for the $\Delta S = 1$ four-quark operators entirely by directing an agentic AI system to generate Mathematica code. These factors are required for lattice QCD simulations of weak processes, such as $K \rightarrow \pi\pi$ decay and the long-distance contributions to the CP-violating parameter $\epsilon_K$. In this talk, we discuss our supervision strategy and the methods we used to ensure the correctness of our results. We conclude by discussing an ongoing two-loop calculation of matching factors required for the bi-local operator products contributing to $\epsilon_K$, and the prospects for using our agentic AI strategy to rapidly complete further calculations.

https://bnl.zoomgov.com/j/16010362754?pwd=Z1l1SS9JUDlyR1hSUHNyaDV1dTZHUT09