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Fig. 2

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Diagrams associated with the standard perturbation theory as obtained from a path-integral formalism up to 1-loop order for the three-point correlation C3. Although they are different from those obtained by the standard approach, their sum at each order is identical to the sum of the standard diagrams of the same order over PL(k). The lines are the linear two-point correlation CL (blue solid line) and the linear response RL (red solid line with an arrow). The black dots are the three-leg vertex Ks that enters the quadratic term of the equation of motion. The numbers are the multiplicity factors of each diagram. The tree-order diagram a) gives Eq. (39), for the density bispectrum, while the 1-loop diagrams b), ..., i), give the contribution of order .

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