To not invite these people to my party?

[Tommy]

Have a big birthday coming up and there are 2 people who I feel I "should" invite but don't really want to. One is very annoying and always gets drunk and had a racist boyfriend and the other is someone with whom I have a minor falling out over the past few months but will be very offended if I don't invite her and probably never speak to me again
DH is very matter of fact about it all and says I shouldn't invite them if I don't want to but I'm a bit concerned about the fall-out when the realise I have had a party and not invited them.
Is it worth the post party rows? Or should I just invite them to keep them happy?

the op could word it ant way she wants i dont know the details but the partner may get upset about her partner being left out
personally if i was invited to a birthday party but OH was not because of host's dislike for him and i was informed why i would not attend .

i would show loyalty to my oH
iyswim.

Lots of interesting food for thought here - thanks all. Still not sure what to do though.....

Sounds like your not close to them anyway, don't invite them. If they don't speak to you, so what. They don't sound like good friends.