Strong monodromy conjecture for Igusa local zeta functions

Let $L$ be a non-Archimedean local field over $\operatorname{O}_K$, let $f\in\operatorname{O}_K[x_1,\ldots,x_n]$ be a nonconstant polynomial, let $\Phi$ be a Schwartz–Bruhat function on $L^n$, and let $\chi$ be a multiplicative character. Define

$$\mathcal Z_\chi(f,L,\Phi,s)=\int_{L^n}\Phi(x)\chi(\operatorname{ac}(f(x)))|f(x)|^s|dx|.$$

Let $b_f(s)$ be the Bernstein–Sato polynomial of $f$. Strong monodromy conjecture. If $s$ is a pole of $\mathcal Z_\chi(f,L,\Phi,s)$, then $\operatorname{Re}(s)$ is a root of $b_f(s)$, provided that the residue field $k_L$ has sufficiently large characteristic. The conjecture predicts a relation between poles of Igusa local zeta functions and roots of Bernstein–Sato polynomials; the excerpt gives no resolution.