Higgs boson mass in the Standard Model at two-loop order and beyond

Abstract

We calculate the mass of the Higgs boson in the Standard Model in terms of the underlying Lagrangian parameters at complete 2-loop order with leading 3-loop corrections. A computer program implementing the results is provided. The program also computes and minimizes the Standard Model effective potential in Landau gauge at 2-loop order with leading 3-loop corrections.

Comments: 24 pages. Source code and documentation are available at http://www.niu.edu/spmartin/SMH or http://faculty.otterbein.edu/drobertson/SMH v2: references added. v3: Errors in equations (3.4), (3.9), and (3.10) corrected. The numerical impact is extremely small