Final answer:
The process described in the scenario is authentication, a security service that verifies a user's identity. It is achieved using a digital signature validated by a public key in the email communication between Alice and Bob.
Step-by-step explanation:
When Alice sends Bob an email with a digital signature using her private key, and Bob verifies the signature with Alice's public key, it demonstrates the security service of authentication. Authentication is a process that confirms a user's identity; in this case, it ensures Bob that the message indeed came from Alice, provided that only Alice has access to her private key. This security service is part of the wider field of cryptography, which provides various methods to secure communication.