An NFL player beating a four year old? Not in my house.
My hubby is a big man with a bear sized paw and I never let him hit our children.
I, on the other hand, did smack them when I deemed it necessary.
I used my open hand to deliver a stinging, but not heavy, slap in the interests of safety, for example if they disobeyed warnings not to touch a power point or ignored an instruction to stop at the kerb when we were out walking. Sometimes, when they were over excited and being completely obnoxious and out of control I found a slap was a circuit breaker, producing tears followed by a willingness to have the sleep that they needed. As they grew older slapping was left behind and I used tone of voice and facial expressions to do the same thing as a slap when they were small.
My daughter has brought up her four without the need to slap (as far as I know) and her kids have turned out fine. Better than fine.