Title:The Art of Bootstrap: An Analytic Regression Path to Precision Physics
Speaker:Xiaoyuan Zhang 张晓源 (Massachusetts Institute of Technology)
Time:2025-12-25 14:00
Venue:Room W260, Physics Building
Abstract:In precision studies of the Standard Model, 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 quantum chromodynamics have remained a challenge. In this talk, we extend these bootstrap principles to collider 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 physics.
Bio:Xiaoyuan Zhang (张晓源) 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.