authenticate (authentication login) (tag)
| wp_authenticate() | Checks the authorization data of the registered user (login and password) and authorizes it if the check was passed. |
| wp_set_auth_cookie() | Authorizes (Log in) a user by ID. Sets authentication cookies based on the transmitted user ID. |
| wp_signon() | Authorizes the user by the specified login/email, password, and remember parameter. |