There's a systemic review and metaanalysis: Therapeutic hypothermia for hypoxic ischaemic encephalopathy using low-technology methods: a systematic review and meta-analysis
Committee on Fetus and Newborn put out these guidelines in 2014 (as linked by Dr Teng):
Clinically, I have offered and consented parents for "off-label" cooling of infants with moderate or severe encephalopathy who have not quite met the strictest of criteria. That being said, a quality improvement committee should track and review "off-label" cooling rather diligently due to concerns for "clinical creep."
1. Medical centers offering hypothermia should be capable of providing comprehensive clinical care, including mechanical ventilation; physiologic (vital signs, temperature) and biochemical (blood gas) monitoring; neuroimaging, including MRI; seizure detection and monitoring with aEEG or EEG; neurologic consultation; and a system in place for monitoring longitudinal neurodevelopmental outcome.
2. Infants offered hypothermia should meet inclusion criteria outlined in published clinical trials. Eligibility criteria include a pH of ≤7.0 or a base deficit of ≥16 mmol/L in a sample of umbilical cord blood or blood obtained during the first hour after birth, history of an acute perinatal event, a 10-minute Apgar score of
Details have been published and reproduced, showed efficacy and safety of total body cooling or brain cooling for 72hr, for neonates with moderate or severe HIE, to reduce combined risk of death or adverse NDI. please see links for details