N.H. Rev. Stat. Ann. § 277-B:10

An employee leasing company and its client company shall both be entitled to the exclusivity of remedy provisions of RSA 281-A:8, and the employee leasing company shall not be vicariously liable for the actions or omissions of the client company and the client company shall not be vicariously liable for the actions or omissions of the employee leasing company. Nothing in this section shall prohibit any direct contractual liability between the employee leasing company and the client company, nor shall the same limit any liability or responsibility imposed by this chapter.