Eur. Phys. J. C (2015) 75: 290
https://doi.org/10.1140/epjc/s10052-015-3494-6

Regular Article - Theoretical Physics

Generic two-loop Higgs mass calculation from a diagrammatic approach

¹ LPTHE, UMR 7589, UPMC Univ Paris 06, Sorbonne Universités, 75005, Paris, France
² CNRS, LPTHE, UMR 7589, 75005, Paris, France
³ Bethe Center for Theoretical Physics and Physikalisches Institut der Universität Bonn, Nußallee 12, 53115, Bonn, Germany
⁴ Theory Division, CERN, 1211, Geneva 23, Switzerland

^* e-mail: goodsell@lpthe.jussieu.fr

Received: 30 March 2015
Accepted: 1 June 2015
Published online: 26 June 2015

Abstract

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 for an efficient, accurate and rapid evaluation for generic theories. In the appendix, we provide the expressions for the tadpole diagrams in the case of massive gauge bosons.