Work

All five-loop planar four-point functions of half-BPS operators in $$ \mathcal{N}=4 $$ SYM

Year: 2018

Type: article

Abstract: We obtain all planar four-point correlators of half-BPS operators in $$ \mathcal{N}=4 $$ N = 4 SYM up to five loops. The ansatz for the integrand is fixed partially by imposing lightcone OPE relations between different correlators. We then fix the integrated correlators by comparing their asymptotic expansions with simple data obtained from integrability. We extract OPE coefficients and find a prediction for the triple wrapping correction of the hexagon form factors, which contributes already at the five-loop order.

Source: Journal of High Energy Physics

DOI: 10.1007/jhep11(2018)069

Authors: Dmitry Chicherin, Alessandro Georgoudis, Vasco Gonçalves, Raul Pereira

Institutions: Johannes Gutenberg University Mainz, Uppsala University, ICTP South American Institute for Fundamental Research, Universidade Estadual Paulista (Unesp), Trinity College Dublin

Language: English

Topic: Black Holes and Theoretical Physics

Subfield: Nuclear and High Energy Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: diamond

Funders: CERN, Science Foundation Ireland, Fundação de Amparo à Pesquisa do Estado de São Paulo, Knut och Alice Wallenbergs Stiftelse

Awards: Exact Methods in Strongly Coupled Systems, G4402799499, G501349349, G7032246196