From hadron structure to fundamental symmetry: bridging theory and experiment with the gradient flow
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Understanding how quarks and gluons form the building blocks of matter and how their dynamics reveal the symmetries of nature are central goals of modern particle and nuclear physics. Over the past years, the gradient flow has emerged as a powerful and versatile tool to address these questions from first principles, offering new bridges to connect Quantum Chromodynamics (QCD) to experimental observables.
In this talk, I will show how the gradient flow enables precise theoretical studies of hadron structure, through moments of parton distribution functions, and fundamental symmetry tests, such as CP-violating electric dipole moments (EDMs) and B-meson lifetimes. These developments provide clean theoretical inputs for experiments at the LHC, Belle II, JLab, and the future EIC, and are directly relevant to ongoing EDM searches such as the n2EDM experiment. I will also discuss how emerging approaches based on machine learning and quantum computing are being explored to accelerate these calculations, and how Open-Science initiatives like OpenLat ensure that data and results are shared transparently within the community.
Altogether, this work illustrates how modern theoretical tools can directly support experimental programs and precision tests of the Standard Model in the search for new physics.