2025/11/07 by Carrasco, John Joseph M., Chava, Sai Sasank, Edison, Alex +1
Physics and Astronomy · #Black Holes and Theoretical Physics #Cold Atom Physics and Bose-Einstein Condensates #Quantum Chromodynamics and Particle Interactions
paper · doi:10.48550/arxiv.2511.05441
We present a novel robust framework for systematically constructing D-dimensional four-point higher-derivative contact amplitudes. Our modular block ("LEGO"-like) approach builds amplitudes directly from manifestly gauge-invariant kinematic blocks, color-weight factors, and scalar Mandelstam polynomials. Symmetries (Bose/Fermi) are imposed algebraically, acting as filters on combinations of compatible pieces. This framework operates entirely in D dimensions, naturally incorporating evanescent operators crucial for loop-level consistency. Scaling to arbitrary mass dimension is achieved in a highly controlled manner using permutation-invariant scalar polynomials, avoiding combinatorial explosion. A key feature is its manifest compatibility with the double-copy program, allowing the systematic generation of operator towers not only for gauge theories but also for gravity and other theories within the double-copy web.