2025/12/26 by Chia-Kai Kuo, Qinglin Yang, Kuo, Chia-Kai +1
Physics and Astronomy · #Particle physics theoretical and experimental studies #Black Holes and Theoretical Physics #Quantum Chromodynamics and Particle Interactions
paper · doi:10.48550/arxiv.2512.21947
We study five-point off-shell conformal integrals and the associated half-BPS correlation functions at two loops in the 't Hooft coupling expansion of maximally supersymmetric Yang-Mills theory. We construct a basis of uniform-transcendental (UT) pure integrals spanning six distinct topologies by diagonalizing leading singularities subject to conformal invariance. By fixing conformal frames, this basis can be mapped to known two-loop four-mass integral families. We then compute the integrated results by combining canonical differential equations with integration-by-parts reduction. As an application, we present symbol-level integrated results for the two-loop five-point half-BPS correlators, including both maximal and non-maximal sectors.