Two-loop Higgs mass calculation from a diagrammatic approach

Understand

We calculate the corrections to the Higgs mass in general theories restricted to the case of massless gauge bosons (the gaugeless limit).

• We present analytic expressions for the two-loop tadpole diagrams, and corresponding expressions for the zero-momentum limit of the Higgs self energies, equivalent to the second derivative of the two-loop effective potential.
• We describe the implementation in SARAH, which allows an efficient, accurate and rapid evaluation for generic theories.
• In the appendix, we provide the expressions for tadpole diagrams in the case of massive gauge bosons.