Process mining and other forms of event data analytics have shown to be valuable tools for supporting the management and execution of business processes. For this, process recordings in the form of event logs are required. Digitalization efforts have led to an increased availability of event data for many previously paper-based processes. This has also inspired the extension of process analytics beyond classical business processes. One example of this are judicial processes, which are not necessarily bound by typical business constraints, but nonetheless face issues related to, e.g., increasing efficiency or improving resource allocation. Thus, the aim of this paper is to explore the usefulness of process analytics to judicial processes using an exemplary use case from a German social court. We show how event logs can be extracted from digitalized court files and present an approach to identify bottlenecks using these logs. The approach combines expert knowledge with data-driven analysis and process mining. Using this approach, we are able to both identify process inefficiencies and derive actionable insights for reducing case durations, showing that process analytics is a promising tool to facilitate the digitalization and optimization of judicial processes.