Welcome to Ohio! Here ya go...
http://www.ohiodnr.com/wildlife/dow/regulations/hunting_deer.aspx#equipment
Gun Season and Youth Gun Season
Shotgun: 10-gauge or smaller shotgun using one ball or one rifled slug per barrel (rifled shotgun barrels are permitted when using shotgun slug ammunition). Shotguns cannot be capable of holding more than three shells.
Muzzleloading rifle: .38 caliber or larger
Muzzleloading shotgun: 10-gauge or smaller using one ball per barrel
Handgun: with 5-inch minimum length barrel, using straight-walled cartridges .357 caliber or larger.
Longbow or Bow: minimum draw weight 40 lbs. This would include compound bows and recurve bows. The arrow tip shall have a minimum of two cutting edges which may be exposed or unexposed and minimim 3/4-inch width. Expandable and mechanical broadheads are legal. Poisoned or explosive arrows are illegal.
Crossbow: draw weight not less than 75 lbs. The arrow tip shall have a minimum of two cutting edges which may be exposed or unexposed and minimim 3/4-inch width. Expandable and mechanical broadheads are legal. Poisoned or explosive arrows are illegal.