N.M. Stat. § 2-1-10

A. During any regular or special session of the legislature upon request of a standing committee of either house of the legislature and approval by a majority vote of the elected members of the house of which such committee is a part, the presiding officer of the senate or the speaker of the house of representatives shall issue subpoenas to compel the attendance of any witnesses or command the person to whom directed to produce any books, papers, documents or tangible items designated therein, at any investigation or hearing before the body issuing the subpoena.

B. Every subpoena shall be issued by the duly authorized legislative officer, under the name of the house or senate, and shall command each person to whom it is directed to attend and give testimony, or to produce documents or other designated articles at a time and place therein specified. Service of process may be made by any person designated by the officer issuing the subpoena.

C. Witnesses who may be subpoenaed to appear before any body of the legislature, or to produce any designated books, papers, documents or tangible items shall receive as compensation the sum of five dollars ($5.00) a day for each day they are in actual attendance in obedience to the subpoena, and eight cents ($.08) for each mile actually and necessarily traveled in coming to or going from the place of examination, but nothing shall be paid for traveling expenses when the witnesses have been subpoenaed at the place of examination.

D. Any person who shall refuse or neglect to comply with a subpoena, duly issued by the proper officer of the legislature, shall upon conviction be guilty of contempt of the legislature, and punished by a fine of not more than five hundred dollars ($500) or by imprisonment in the county jail for not more than six months or by both such fine and imprisonment in the discretion of the judge.