Budur–Mustaţă–Teitler's $n/d$-conjecture for indecomposable hyperplane arrangements

Let $f$ be an indecomposable central hyperplane arrangement of degree $d$ in $\mathbb{C}^{n}$, and let $b_{f,0}(s)$ denote its local Bernstein–Sato polynomial at the origin.

Budur–Mustaţă–Teitler's $n/d$-conjecture. The number $-\frac{n}{d}$ is a root of $b_{f,0}(s)$.

This conjecture predicts a distinguished Bernstein–Sato root for indecomposable central hyperplane arrangements. The source introduces it as a conjecture and discusses progress on the broader strong topological monodromy problem for arrangements, but gives no resolution of this claim.