Michel–Venkatesh mixing conjecture for shifted Heegner packets

Let $d\to\fty$ along ${\mathbb D}^\flat$, let ${\sf R}_d^\Delta([\mathfrak s])$ be the shifted diagonal Heegner packet, let $\mu$ be the quotient measure on ${\sf S}^2$, and let $q$ be the smallest norm of an integral ideal representing the class $[\mathfrak s]$. Michel–Venkatesh mixing conjecture. The set

$$d^{-1/2}{\sf R}_d^\Delta([\mathfrak s])$$

equidistributes relative to the product measure $\mu\times\mu$ on ${\sf S}^2\times{\sf S}^2$ provided that $q\to\infty$ as $d\to\infty$ along ${\mathbb D}^\flat$. This is a disjointness or mixing statement for class-group self-joinings of Heegner packets, strengthening ordinary equidistribution by requiring the shifted pairs to become independent in the limit.