Here are some of the names it hides behind. What disturbs me is the knowledge that parents use these forms of corporal punishment on their own children. Frankly, if parents use such barbaric practices, it makes it much more difficult to convince legislators and school authorities not to use them.
beating 1 : to strike repeatedly: a : to hit repeatedly so as to inflict pain
caning 1 : to beat with a cane
flogging 1 a : to beat with or as if with a rod or whip
hitting 2 a : to cause to come into contact b : to deliver (as a blow) by action c : to apply forcefully or suddenly
paddling b : to punish by or as if by beating with a paddle
saucing No definition for this. The punishment consists of placing a dab of hot sauce on your finger and in turn putting your finger on the child's tongue.
slapping 1 a : to strike sharply with or as if with the open hand b : to cause to strike with a motion or sound like that of a blow with the open hand
spanking : to strike especially on the buttocks with the open hand
strapping 2 : to beat or punish with a strap
Source: Merriam-Webster Online