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27–29 May 2026
Brookhaven National Laboratory
US/Eastern timezone

An Analytic Regression Path to Precision QCD

28 May 2026, 17:30
20m
Physics Department (Bldg. 510), Large Seminar Room (Brookhaven National Laboratory)

Physics Department (Bldg. 510), Large Seminar Room

Brookhaven National Laboratory

Speaker

Xiaoyuan Zhang (MIT)

Description

In precision studies of QCD, obtaining exact analytic expressions for physical observables is important for both phenomenological predictions and uncovering theoretical structure, yet is often hindered by the complexity of Feynman integrals. While perturbative bootstrap programs have achieved remarkable success for scattering amplitudes in theories like N=4 super Yang-Mills, their extension to QCD has remained challenging. We develop a hybrid framework that applies bootstrap principles to QCD observables by combining analytic constraints with numerical data. In particular, we employ analytic regression with lattice reduction, a technique that reconstructs exact rational coefficients by fitting a functional ansatz to high-precision numerical samples. As a first example, we apply this method to energy correlators in the multi-collinear limit, taking a concrete step toward an analytic bootstrap for precision QCD.

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