A normal PSU will boot a haswell cpu just fine, the issue is if the cpu enters the low power sleep state after being at idle and the psu reads it as undervoltage issue.
You need to be more specific. When you say it does not boot what is not happening?
Do the exterior lights come on when you press the power button?
Does the fans spin?
Does the hard drive/cd drive spin and receive power?
Does the monitor display anything?
Depending on the stage that it does not work completely changes what the problem could be.