 B222 contribution to the one-loop matter bispectrum

ID: b222-contribution-to-the-one-loop-matter-bispectrum

The connected correlation of three second-order density contrasts forms a triangle of three linear power spectra. It has eight Wick contractions. In one dimension, with

k_{1} + k_{2} + k_{3} = 0

and

P_{L}

B_{222} = 8 \int \frac{d q}{2 π} F_{2} (q, k_{1} - q) F_{2} (- q, k_{2} + q) F_{2} (q - k_{1}, - k_{2} - q) P_{L} (q) P_{L} (k_{1} - q) P_{L} (k_{2} + q) .

- k_{1}^{2} k_{2}^{2} k_{3}^{2} P_{L} (q)^{3} / q^{6}

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