Which power is specifically NOT given to Congress regarding judicial processes?

The power to suspend the privilege of habeas corpus is specifically limited and not explicitly given to Congress in relation to judicial processes. The Constitution does grant Congress the authority to make rules concerning the jurisdiction of federal courts, which includes establishing courts and regulating court procedures. Additionally, impeachment of federal judges is a defined power of Congress, enabling it to hold judges accountable for misconduct. However, habeas corpus is a fundamental right, and its suspension is generally reserved for cases of rebellion or invasion as outlined in Article I, Section 9 of the Constitution. This stipulation highlights the protections afforded to individuals against unlawful detention, indicating that Congress does not have an unrestricted power to suspend habeas corpus as part of its judicial authority.