Shift-symmetry soft theorem for a scalar bispectrum (source code)

= Shift-symmetry soft theorem for a scalar bispectrum

If a scalar vacuum is invariant under an exact <scalar-field shift symmetry>, the Ward identity makes the leading soft bispectrum vanish:
$$
\lim_{q\to0}\frac{B_\phi(q,k,|\mathbf k+\mathbf q|)}{P_\phi(q)}=0.
$$