Ask yourself - do you want your daughter to live with a man like that? Not just now as a father daughter relationship but once shes an adult to have a partner who abuses her? By staying you're teaching her to accept and even expect that from a relationship.
I escaped last November. I have a 3 (almost 4yr old) DS and a just turned 1yr DD. escaping was the very best thing I could ever have done .
I thought I'd managed to protect DS well from his dads behaviour. DS seemed a happy, kind and well behaved boy but now we've been away from his dad for a few months I can see there is a massive difference in him. He is brighter, more cheeky, more energetic. Even my daughter seems even more of a little miss sunshine. Its not just me that's noticed either - all my family has.
Also abusive people never get any better they just get worse. They come up with new ways to control, new ways to hurt. My exH blamed his mental health and his diabolical upbringing. He made me feel sorry for him. I stayed for 8yrs waiting for him to change, to get better. He'd started with just flipping and hitting me every few months (usually when his mother had pissed him off). By the end his abuse was constant - he'd threaten me constantly, he'd attack me without cause, he did nothing at all at home (except hide things - including part eaten food, so it would go moldy and be hard for me to find and then clean - one of his many punishments), if I dare asked him to help me with anything he'd attack me, smash things and disappear for a few days. He would tell DS we were going somewhere nice for the day, then throw one of his tantrums and disappear just long enough to stop us going - he was furious and there was hell to pay, the once I actually still went without him, so as not to disappoint DS.
The worst part was - I always thought he could hurt our DC. I was wrong. He became extremely aggressive to DS - I had to intervene to protect DS from physical harm. Goodness knows what he could have done if I hadn't been there to protect DS - I can't bear to even think about it. That is when me and the DC fled. I had never thought he could hurt them. The reality is if they can hurt you then there will come a day when they can hurt your child - I just didn't believe it before.
When I left I was still struggling with guilt that I was wrong to leave him and should have stayed to help him "get better" but a women who'd stayed with her abusive husband for 30yrs told me how much she regretted it. She told me how she'd thought staying was the right thing to do, how she thought she was protecting her children and how her DC are grown up now and the impact it has had on them. She said if she could turn back the clock she would have left so much sooner so her DC were never exposed to it all.
This lovely woman also pointed something else out to me - what he did to me, it was never loss of control. Think about it he would never hit his boss or others and he'd never hit me in public because that wouldn't benefit him. However by hitting me behind closed doors, he got what he wanted, control.
I also wanted to say being a single mom is soooo easy in comparison to living with a dick. I have more energy, I don't feel exhausted any more, I'm happier. I'm free. When I left the relief was indescribable.
You can leave, you can be a single mother and your daughter can grow up to be a happy, well adjusted, confident woman, who will know she's worth something and deserves real love not a beating, not to be worn down by emotional abuse, not to have to wait hand and foot on a lazy dick.