Cool beans. Ok well a couple of things to check before you rug yourself up in bed tonight.
A) is your heat mat on a thermostat and have you got the temp set between 37 and 40? Is there a cool spot he can get to if needed.
B) Are you planning to ditch the heat mat in the morning and go out to get a decent basking light and UV setup after reading a few of the how tos on this forum (no offense, but I have asked you twice about your temps with no answer and can only conclude you have no UV or Basking light)
C) give your beardy a light spray with water as he would be dehydrated after vomiting.
D) Have a quick squiz at some basic beardy setup care sheets and how tos on here as well as elsewhere to make your you have all you bases covered - UV, heat food and water.
Hope that helps and that this was just a once off. If it happens again, try get him to a reptile vet who can give more advice than a screen name on a forum..