How about including [both] tables? (I'll stop at this point to include the usual disclaimers: "if the key columns are indexed...", etc.)
/* Create some test tables with data */
IF OBJECT_ID('tempdb..#ArchiveTable') IS NOT NULL
DROP TABLE #ArchiveTable
CREATE TABLE #ArchiveTable (
[ID] INT IDENTITY(1,1) NOT NULL,
[ReportDate] DATETIME NULL,
[Col1] VARCHAR(50) NULL,
PRIMARY KEY (ID))
IF OBJECT_ID('tempdb..#ProdTable') IS NOT NULL
DROP TABLE #ProdTable
CREATE TABLE #ProdTable (
[ID] INT IDENTITY(10,1) NOT NULL,
[ReportDate] DATETIME NULL,
[Col1] VARCHAR(50) NULL,
PRIMARY KEY (ID))
INSERT INTO #ArchiveTable ([ReportDate], [Col1]) SELECT '2011-09-06','A'
INSERT INTO #ArchiveTable ([ReportDate], [Col1]) SELECT '2011-09-07','B'
INSERT INTO #ArchiveTable ([ReportDate], [Col1]) SELECT '2011-09-08','C'
INSERT INTO #ProdTable ([ReportDate], [Col1]) SELECT '2012-10-06','D'
INSERT INTO #ProdTable ([ReportDate], [Col1]) SELECT '2012-10-07','E'
INSERT INTO #ProdTable ([ReportDate], [Col1]) SELECT '2012-10-08','F'
INSERT INTO #ProdTable ([ReportDate], [Col1]) SELECT '2012-10-09','G'
INSERT INTO #ProdTable ([ReportDate], [Col1]) SELECT '2012-10-10','H'
INSERT INTO #ProdTable ([ReportDate], [Col1]) SELECT '2012-10-11','I'
INSERT INTO #ProdTable ([ReportDate], [Col1]) SELECT '2012-10-12','J'
SELECT * FROM #ArchiveTable
SELECT * FROM #ProdTable
/* End test tables */
/* Set a variable to use for searching */
DECLARE @d DATETIME
SELECT @d = '2011-09-08'
/* "Stand back! I'm gonna do SQL!" */
SELECT Col1, 'A' AS Location
FROM #ArchiveTable
WHERE [ReportDate] = @d
UNION
SELECT Col1, 'P' AS Location
FROM #ProdTable
WHERE [ReportDate] = @d
DROP TABLE #ArchiveTable
DROP TABLE #ProdTable