Rich people make this argument literally all the time any tax increase on them is proposed, but it literally never happens.
That tax money makes the area they live in better, which people like, making them more likely to stay.
When the tax money goes directly towards helping poor people, they end up contributing more to the economy, so EVERYONE starts making more money. They can afford to buy the products/services that those rich people make money off of. The only rich people who end up worse off are the ones who measure the quality of their life by the number after the $ like a Pac-Man high score, and the sociopaths who would rather rule a dystopia than be an equal in a utopia, even if they're richer in the latter.
And on top of all of that, moving an entire business out of a city to another one, costs a LOT of money. A LOT. Far more than almost any feasible tax increase, even if we ignore the increase in revenue the business would experience from the above paragraph.
But all of this requires looking at evidence of things that happen, and reading several paragraphs, something that conservatives aren't fond of.