Contracts relating to an outsourced Data Centre would be managed by?

The Service Desk is a single point of contact for users reporting incidents and service requests, not a contract management function.

IT Operations Control oversees day-to-day operational activities such as job scheduling and console management, not vendor or facility contracts.

Technical Management provides technical expertise and manages technical teams and infrastructure, but contract and facilities oversight is not its primary responsibility.

Facilities Management is the ITIL function that manages the physical environment required to support IT services, including buildings, power, cooling, and vendor contracts for outsourced data centres. It is distinct from technical functions and is specifically scoped to physical and environmental concerns. Contract management for an outsourced data centre falls squarely within this remit.