Higgs boson mass in the Standard Model at two-loop order and beyond
Stephen P. Martin, David G. Robertson

TL;DR
This paper provides a precise calculation of the Higgs boson mass within the Standard Model at two-loop order, including leading three-loop corrections, along with a computational tool for effective potential analysis.
Contribution
It offers the first complete two-loop order calculation of the Higgs mass with leading three-loop corrections and provides a software implementation for effective potential minimization.
Findings
Accurate Higgs mass prediction at two-loop order.
Implementation of a computational tool for effective potential analysis.
Enhanced precision in Standard Model parameter relations.
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.
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