Higher loop mixed correlators in N=4 SYM

Abstract

We compute analytically the two-loop contribution to the correlation function of the Lagrangian with a four-sided light-like (or null) Wilson loop in N=4 super Yang-Mills. As a non-trivial test of our result, we reproduce the three-loop value of the cusp anomalous dimension upon integration over the insertion point of the Lagrangian. The method we used involved calculating a dual scattering amplitude. Moreover, we give a simple representation of the loop integrand of the latter in twistor variables.

19 pages, 4 figures

References in corpus (6)

• The All-Loop Integrand For Scattering Amplitudes in Planar N=4 SYM
• Uniqueness of two-loop master contours
• Higgs-regularized three-loop four-gluon amplitude in N=4 SYM: exponentiation and Regge limits
• New differential equations for on-shell loop integrals
• Simple loop integrals and amplitudes in N=4 SYM
• Some analytic results for two-loop scattering amplitudes

Cited by in corpus (8)

• Nonperturbative Negative Geometries: Amplitudes at Strong Coupling and the Amplituhedron
• The SAGEX Review on Scattering Amplitudes, Chapter 8: Half BPS correlators
• All-Loop Four-Point Aharony-Bergman-Jafferis-Maldacena Amplitudes from Dimensional Reduction of the Amplituhedron
• Two-Loop Five-Point Two-Mass Planar Integrals and Double Lagrangian Insertions in a Wilson Loop
• Integrated negative geometries in ABJM
• Emergent unitarity, all-loop cuts and integrations from the ABJM amplituhedron
• Wilson Loops with Lagrangians: Large Spin OPE and Cusp Anomalous Dimension Dictionary
• Holographic correlation functions of hexagon Wilson loops with one local operator