= B222 contribution to the one-loop matter bispectrum
{c}
{title2=$B_{222}$}
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 $P_L$ the power at the evaluation time,
$$
B_{222}=8\int\frac{dq}{2\pi}F_2(q,k_1-q)F_2(-q,k_2+q)F_2(q-k_1,-k_2-q)P_L(q)P_L(k_1-q)P_L(k_2+q).
$$
For the <one-dimensional cosmological density kernel>, its hard-loop integrand starts as $-k_1^2k_2^2k_3^2P_L(q)^3/q^6$.
Back to article page
