The only standard now is that you can't participate in a rebellion. Specifically you cannot hold elected office in the US if you “have engaged in insurrection or rebellion against the same, or given aid or comfort to the enemies thereof.” So ironically he could be convicted of rape and making child pornography and still run - but if he is convicted of even a misdemeanor charge for any of his actions on Jan 6th, he can't. I think the hope was that no one convicted of sexual assault would ever run for president, and even if they did, no one would vote for them. Unfortunately . . . .