Two-loop MHV Form Factors from the Periodic Wilson Loop

2024/12/23 by Zhenjie Li, Li, Zhenjie · 3 citations
Engineering · Physics and Astronomy · #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #Magnetic confinement fusion research #Particle accelerators and beam dynamics #Superconducting Materials and Applications

paper · pdf · doi:10.48550/arxiv.2412.17974

openalex publication_date 2024/12/23 · openalex created_date 2025/10/10 · openalex updated_date 2026/08/01

Abstract

We discuss how to compute maximal-helicity-violating (MHV) form factors for the chiral part of the stress-tensor supermultiplet from periodic light-like polygon Wilson loops in planar \mathcal N=4 super Yang-Mills theory beyond the one-loop level. We show that the periodicity imposes path ordering on points on different edges, which explains the appearance of square roots coming from non-planar Feynman diagrams. Taking such diagrams into account, we provide the integrand of the two-loop n-particle MHV form factor, compute all diagrams, prove the cancellation of divergences and finally compute the two-loop 5-particle and 6-particle form factors as examples.

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