Hi! randy 1212
http://gardentractorpullingtips.com/starter.htm
Here's a couple of good reads, they are for car batteries, but the same applies to tractor bats:
Starts on page 14
http://www.autoshop101.com/forms/hweb4.pdf
Battery Drain Parasitic Draw Testing (http://flashoffroad.com/electrical/Batteries/BatteryDrain.html)
One thing I've found that you have to watch is, dirt build-up between contacts like switches, and relays this will cause a conductive pathway. A dirty battery top will cause a path between the battery leads, but since you have a new one, you can rule that out.
Check for frayed ends at connectors that may allow drainage.
Then you need to keep in mind the charging system, Tractor's need to be run at the highest throttle setting so RPMS are maintained, Run the throttle at 3/4 or less, and there won't be enough engine speed to charge.
Worst case is a problem with the diodes under the engine cowling, make sure it's clean under the screen, so no dirt can get in the air gap of the stator and flywheel.
k