Brain is scrambled, please help

How did you align the scope to the barrel. Sounds like a classic scope turned very slightly as suggested above.

How do you align it to the barrel?

I aligned it to the receiver just like I do on every other rifle I've owned....and just assumed that Benjamin took the time to align the barrel to the receiver. According to my eyes and a mirror set up at 50 feet the muzzle and windage crosshair are in perfect alignment.
 
How do you align it to the barrel?

The requirements to eliminate cant error are:

1. Align the scope's reticle with the rifle's barrel.
2. Hold the reticle level when shooting.

Item 1 deals with scope cant...i.e. mounting the scope incorrectly.

Item 2 deals with gun cant...i.e. holding the gun incorrectly.

Here's the easiest way to eliminate cant errors. The great part is you don't need any special tools. All you need is a mirror. Set the mirror at a distance of, say, 5 yards and set your AO to 10 yards. Look through the scope at your reflection in the mirror. Twist the scope in the mounts until the vertical bar of the reticle simultaneously bisects both the muzzle and objective bell. Then lock it down. At this point you have eliminated scope cant (item 1). If it's hard to see your muzzle, add a little dot of White Out or take a dot from a hole punch and tape it to the muzzle with clear tape.

Now to eliminate rifle cant, install and use a level. View a known good plumb line (e.g. hanging string) through the scope and orient the rifle so it precisely aligns to it. Now affix your level so it shows level. From now on when you're shooting, hold the rifle so it shows level and you can be sure you've eliminated both potential sources of cant error.

By the way, don't buy a level that attaches to the scope rail. There is no guarantee it will show level. Instead, get one that attaches to the scope tube so you can rotate it and lock it down where it shows the proper level.
 
How do you align it to the barrel?

The requirements to eliminate cant error are:

1. Align the scope's reticle with the rifle's barrel.
2. Hold the reticle level when shooting.

Item 1 deals with scope cant...i.e. mounting the scope incorrectly.

Item 2 deals with gun cant...i.e. holding the gun incorrectly.

Here's the easiest way to eliminate cant errors. The great part is you don't need any special tools. All you need is a mirror. Set the mirror at a distance of, say, 5 yards and set your AO to 10 yards. Look through the scope at your reflection in the mirror. Twist the scope in the mounts until the vertical bar of the reticle simultaneously bisects both the muzzle and objective bell. Then lock it down. At this point you have eliminated scope cant (item 1). If it's hard to see your muzzle, add a little dot of White Out or take a dot from a hole punch and tape it to the muzzle with clear tape.

Now to eliminate rifle cant, install and use a level. View a known good plumb line (e.g. hanging string) through the scope and orient the rifle so it precisely aligns to it. Now affix your level so it shows level. From now on when you're shooting, hold the rifle so it shows level and you can be sure you've eliminated both potential sources of cant error.

By the way, don't buy a level that attaches to the scope rail. There is no guarantee it will show level. Instead, get one that attaches to the scope tube so you can rotate it and lock it down where it shows the proper level.

Gotcha, scope is aligned using a mirror just like you described.

Cant while sighting in, and while target shooting is eliminated by using targets with grid lines, and making sure my target paper is level (using a Carpenters level).

I mean, how much more level and square with the world can you get?

Yet still I am dead on zero @ 30 yards but a bit left @40, and considerably further left @55. 

I have placed a .004 shim on the left side of the front mount and have re-zeroed at 30 (it took 5 clicks) but haven't had time to see what that has done to my POI at 40 and 55 yet (ran out of daylight). Not concerned with ranges beyond that as I have determined 60 yards is the furthest I will ever shoot a critter with this gun.
 
As bandg says, it isn’t necessarily the fault of the rings. There are about half a dozen reasons for slight misalignments to arise. With the vast majority of inexpensive scope rings being extruded, that ranks among the least likely causes. And in this particular case, adding a 0.002” shim to both rings does not change the angular alignment between the scope and barrel. It simply offsets the scope very slightly to one side. The same effect can be obtained by simply rotating the scope in the rings.



For some perspective, a much more pronounced version of this offset is present on virtually 100% of ag’s in circulation because the receiver grooves are seldom precisely dimensioned to either the 11mm or 3/8” standards. The same is true of most ring bases. On top of that, few people are aware of how to select the proper orientation for the clamping plates for either 11mm or 3/8”. Fortunately these errors are of no consequence if the scope is rotated in the rings such that its reticle bisects the bore.



My advice? Stay with the shims and enjoy the fact it shoots straight :)