Derives the 1-loop, third-order analytical template for the 4PCF covariance, reducing the problem to three contraction classes and low-dimensional radial integrals.
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Analytical Template for the 4-Point Correlation Function Covariance Beyond the Gaussian Random Field ${\rm II}$: 1-Loop Corrections with Third-Order Densities
Derives the 1-loop, third-order analytical template for the 4PCF covariance, reducing the problem to three contraction classes and low-dimensional radial integrals.