Background Checks From An Unspecified Third-party Vendor.

Set up: I work for a tech company in Central America that works with a US parent company. Recently the parent company was acquired by a bigger Asian company and as part of the acquisition they're running background checks on all Central American workers.

All is good up to this point because I understand the need for those checks. What makes me uncomfortable is that they're requesting us to sign a letter of authorization with wording that seems suspicious, here are the key points:

They're using a 'Duly Empanelled Vendor" for this process but never specify the vendor company's name. This makes me think that they can change vendors multiple times and still get access to my information.

It says that "the authorization letter is valid for this check and any future reports". So that makes me think that they're going to have access to my information at any time for any purpose they deem necessary, without the need for my approval.

I'm not familiar with US law so I'd appreciate any input. Refusal to sign this letter could mean I get terminated, which I don't mind as long as my suspicions are accurate. Thanks!