The first research on ASMR to be published took place in Swansea University in the UK and is peer reviewed. PeerJ 26th March 2015. The authors are Emma L. Barratt and Nick J. Davis. Autonomous Sensory Meridian Response (ASMR): a flow like mental state. The full research can be found on the PeerJ website
Other ASMR research exists which is publicly available but not published, waiting to be published or in progress. For an up to date list of all research available and any in progress there is ASMR University A blog run by Dr. Craig Richard a Professor at Shenandoah University Virginia, published researcher on various subjects and ASMR enthusiast. Do keep up with his site and explore around, there is plenty of information available.