It's not a bullet weight to body weight ratio, it's more complicated than that.
When you get into massive trauma to an unsuspecting animal the results are often more spectacular than one might expect. Rifle bullets can really tear up a lot of tissue compared to handgun bullets. Unlike pistol bullets that create temporary cavities that typically rebound leaving only bruising, high powered rifle bullets can create large impact cavities that literally tear tissue apart and severely traumatize adjacent nerves and organs.
The animal still isn't "knocked down" but it may go down instantly at the shot due to the shutdown of major organs and other trauma.
Here's some interesting reading.
^^^
Also you have to keep in mind most 4 legged critters anatomy, proper shot placement from the side will penetrate BOTH lungs & possibly even the heart. The animal is again, also unsuspecting - not hyped up on drugs, or adrenaline, and isn't in fight or flight mode. I remember one of the russian boars I shot with a .308 blasted lung tissue all over the log behind it - after field dressing it and bring it back to the lodge & the butcher starting on the meat, the lungs were pretty much destroyed. The boar after being shot tried to take 1 step to run, wobbled and fell on its side. It didn't instantly die, but it did die pretty quickly.
On this same trip, one of the other guys wanted to hunt his boar with a pistol - I forget the caliber but it was a large revolver with 6" barrel, not sure of the rounds being used either but it took multiple hits on his boar to bring it down due to lack of penetration. Recalling the wounds, I almost am willing to bet they were using some sort of hollowpoint - one specific shot on the shoulder looked like someone had taken an ice cream scoop and removed a chunk of muscle there. No more than 5" penetration though on a lot of the shots due to the dense muscle.
When it comes to 9mm vs 45, if you look at side by side ballistic gellatin tests comparing 9mm, 40, .357 sig, 45 using modern defense rounds - the temp cavity and penetration is almost the same for all of them. Stopping power for each is also similar, shot placement is king. Handgun rounds don't reach the velocities needed for the tissue affected by the temp cavity to tear from the shock of the bullet passing through, but rifles do this. Tissue is elastic, and it takes a very high velocity round for it to cause this - that from a rifle.
What it all comes down to? Pick the caliber & gun you are most proficient with/accurate with. Train with it a lot, if you ever have to use it -at the end of the day whats going to matter is where you hit with it and not the caliber, or whether it was a tricked out 1911 or just a stock glock.