Talk (non-conference) (Invited)

PUBDB-2025-01152

http://join2-wiki.gsi.de/foswiki/pub/Main/Artwork/join2_logo100x88.png Two loop five point integrals: light, heavy and large spin correlators

Bercini Vargas, C. (Corresponding author)DESY*

2024

Abstract: We evaluated all two loop conformal integrals appearing in five point correlation functions of protected operators of N=4 Super Yang-Mills in several kinematical regimes. Starting from the correlation function of the lightest operators of the theory, we were able to extract structure constants of up to two spinning operators for small and large values of polarizations and spin. We conjectured an universal all loop behaviour for the large spin small polarization structure constants and comment on the subtleties of analytically continuing it from finite to large spin. We also consider correlation functions of heavier operators that get factorized in the more fundamental object called decagon. We fixed this object at two loops in general kinematics and studied its physical properties under OPE and null limits.

Note: this was a black board talk

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Contributing Institute(s):

1. Theorie-Gruppe (T)

Research Program(s):

1. 611 - Fundamental Particles and Forces (POF4-611) (POF4-611)
2. DFG project G:(GEPRIS)460391856 - Feldtheorie lösen mittels Integrabilität (460391856) (460391856)

Experiment(s):

1. No specific instrument

Appears in the scientific report 2024

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