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@ARTICLE{Bargheer:638137,
author = {Bargheer, Till and Bekov, Albert and Bercini Vargas, Carlos
and Coronado, Frank},
title = {{H}igher-{P}oint {C}orrelators in $\mathcal{{N}}$ = 4
{SYM}: {G}enerating {F}unctions},
reportid = {PUBDB-2025-03979, DESY-25-126. arXiv:2509.14332},
year = {2025},
note = {60 pages + data files},
abstract = {We construct generating functions of five- and six-point
correlators up to two loops at weak 't Hooft coupling in
planar $\mathcal{N}$ = 4 SYM. These generating functions
unify the correlators of the lightest scalar operator in the
stress-tensor multiplet with those of all higher R-charge
single-trace half-BPS scalar operators, thereby extending
previous results for four-point loop integrands. At the
integrated level, they are represented as sums of conformal
integrals with coefficients exhibiting ten-dimensional poles
that combine spacetime and R-charge distances. Our results
show that higher-order poles are captured by products of
lower-point generating functions. We also extract new OPE
data on spinning structure constants, and compare these to
integrability-based computations, finding good agreement.},
cin = {T},
cid = {I:(DE-H253)T-20120731},
pnm = {611 - Fundamental Particles and Forces (POF4-611) / DFG
project G:(GEPRIS)460391856 - Feldtheorie lösen mittels
Integrabilität (460391856)},
pid = {G:(DE-HGF)POF4-611 / G:(GEPRIS)460391856},
experiment = {EXP:(DE-MLZ)NOSPEC-20140101},
typ = {PUB:(DE-HGF)25},
eprint = {2509.14332},
howpublished = {arXiv:2509.14332},
archivePrefix = {arXiv},
SLACcitation = {$\%\%CITATION$ = $arXiv:2509.14332;\%\%$},
doi = {10.3204/PUBDB-2025-03979},
url = {https://bib-pubdb1.desy.de/record/638137},
}