Let me remind you, I don't have to prove that tax-cuts don't pay for themselves, proponents of the theory, such as it is, have to prove tax-cuts DO pay for themselves.
Nevertheless, the issue has been studied widely. Regarding the tax-cut at hand,
The GOP must choose between faith and evidence in tax-cut vote:
The conservative Tax Foundation said the tax-cuts won't pay for themselves.
The Penn-Wharton budget model, run by a former economist from the second Bush administration, said the tax-cuts won't pay for themselves.
The tax analysts whom Congress pays to provide impartial advice delivered a similar verdict.
The Joint Committee on Taxation said the tax-cuts won't pay for themselves.
But Conservatives says that they will, so there we have it.