I had this exact same problem. My phone worked last night and this morning the touch screen was non-responsive. I reset it several times without it helping. I tried holding power and volume down for a full 20 seconds as Jimmy recommended. It looked like it reset several times during this and once I stopped holding them down and let it start up again the touch screen works! Hopefully it will stay working, we'll see.
Worked for me also, I have had my phone for at least 2+ years & this is the 1st. issue I have experienced. I really don't want to go through the headache of getting a new phone.