Analytic two-loop form factors in \( \mathcal{N} = 4 \) SYM
From MaRDI portal
Publication:339246
DOI10.1007/JHEP05(2012)082zbMATH Open1348.81400arXiv1201.4170WikidataQ60660934 ScholiaQ60660934MaRDI QIDQ339246
Author name not available (Why is that?)
Publication date: 7 November 2016
Published in: (Search for Journal in Brave)
Abstract: We derive a compact expression for the three-point MHV form factors of half-BPS operators in N=4 super Yang-Mills at two loops. The main tools of our calculation are generalised unitarity applied at the form factor level, and the compact expressions for supersymmetric tree-level form factors and amplitudes entering the cuts. We confirm that infrared divergences exponentiate as expected, and that collinear factorisation is entirely captured by an ABDK/BDS ansatz. Next, we construct the two-loop remainder function obtained by subtracting this ansatz from the full two-loop form factor and compute it numerically. Using symbology, combined with various physical constraints and symmetries, we find a unique solution for its symbol. With this input we construct a remarkably compact analytic expression for the remainder function, which contains only classical polylogarithms, and compare it to our numerical results. Furthermore, we make the surprising observation that our remainder is equal to the maximally transcendental piece of a closely related two-loop amplitude in QCD.
Full work available at URL: https://arxiv.org/abs/1201.4170
No records found.
No records found.
This page was built for publication: Analytic two-loop form factors in \( \mathcal{N} = 4 \) SYM
Report a bug (only for logged in users!)Click here to report a bug for this page (MaRDI item Q339246)
