N.H. Rev. Stat. § 614:5
The term "fresh pursuit" as used in this subdivision shall include fresh pursuit as defined by the common law, and also the pursuit of a person who has committed a felony or who is reasonably suspected of having committed a felony or who is reasonably suspected of driving a motor vehicle or operating a boat while under the influence of intoxicating liquor or a controlled drug. It shall also include the pursuit of a person suspected of having committed a supposed felony, though no felony has actually been committed, if there is reasonable ground for believing that a felony has been committed. Fresh pursuit as used herein shall not necessarily imply instant pursuit, but pursuit without unreasonable delay.
RSA 614:5
1937, 54:5. RL 439:5. RSA 614:5. 1986, 193:6, eff. Aug. 2, 1986. 2003, 252:6, eff. July 14, 2003.