Handling History tables in Dimensional Model

Gurus,
We are designing dimensional model for our organization. In our current OLTP system we have base tables and history tables. The table structure of history tables is mirror of base tables with addition of 3 auditing columns (Transaction Type, Transaction User and Transaction Date). So I am wondering what should be our design approach. Does anyone have any thoughts on this? Thanks

Here is the sample table structure…

Base Table Structure:
BaseId (PK)
HistId (FK)
Col3
Col4

History Table Structure:
HistId (PK)
BaseId
Col3
Col4
TransactionType
TransactionUser
TransactionApp
TransactionUtc

Why do you have a HIST_ID FK in the base table? A general answer to your question is that all history is represented in the fact table.