The Art of Bootstrap: An Analytic Regression Path to Precision QCD

by Xiaoyuan Zhang (Massachusetts Institute of Technology)

Wednesday 24 Dec 2025, 15:10 → 16:10 Asia/Shanghai

B105 (CHEP)

In precision studies of QCD, obtaining exact analytic expressions for physical observables is important for both phenomenological predictions and theoretical insights, 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 applications to realistic QCD have remained a challenge. In this talk, we extend these bootstrap principles to QCD observables through a hybrid framework that merges analytic constraints with numerical data. In particular, we employ analytic regression with lattice reduction, a technique to reconstruct exact rational coefficients by fitting a functional ansatz to high-precision numerical samplings. By applying this method to energy correlators, we demonstrate a powerful path towards an analytic bootstrap for precision QCD.

Bio:
Xiaoyuan Zhang is a Pappalardo postdoctoral fellow at Massachusetts Institute of Technology. He received his Bachelor's degree from Zhejiang University in 2020 and his Ph.D. from Harvard University in 2025. His research focuses on precision measurements of quantum chromodynamics at colliders using effective field theories and fixed-order calculation techniques.

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