Probably no official one, but if the US find out about it via one channel or another (e.g. Selfies taken in Teheran on your FB profile, a newspaper article about you visiting Iran, spy programs, etc...), you'll be in a lot of trouble.

Legally speaking, a new passport will not solve the problem (They aren't that stupid in congress ) and you'll be asked in your ESTA application if you travelled to Iran since 2011 and not if you traveled with your current passport to Iran.

Honestly I don't see the reason why you would want to hide your visit and potentially get into serious trouble. Visiting Iran is (currently) not prohibited. It only means that VWP eligible passengers will no longer be able to travel under the VWP to the US. These passengers will just need an ordinary visa, which isn't that hard to get for most people.

Conclusion: Travel to Iran. Apply for a US visa. Get your US visa. Travel to the US. End of story. It's certainly not worth it getting arrested, questioned and ultimately deported and banned for years. Trying to hide a trip to Iran is the kind of suspicious behavior, US immigration and anti-terror agencies don't like.