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One-loop matter power spectrum

{c}
{title2=$P_{13}(k)$}

The $P_{13}$ contribution correlates a linear density field with a third-order field:
$$
P_{13}(k)=3P(k)\int\frac{d^3q}{(2\pi)^3}F_3(\mathbf k,\mathbf q,-\mathbf q)P(q).
$$
Both orderings contribute $2P_{13}$ to the power spectrum.


P13 contribution to the one-loop matter power spectrum

Past exam of the mathematics course of the University of Cambridge / 2021 / iii / Paper 312 / 3 / c / Solution

P13 contribution to the one-loop matter power spectrum ( $P_{13} (k)$ )

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P13 contribution to the one-loop matter power spectrum (P13​(k))

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