Eur. Phys. J. C (2015) 75: 61
https://doi.org/10.1140/epjc/s10052-015-3280-5

Regular Article - Theoretical Physics

Two-loop QCD corrections to the MSSM Higgs masses beyond the effective-potential approximation

¹ Dipartimento di Matematica e Fisica, Università di Roma Tre and INFN, Sezione di Roma Tre, Via della Vasca Navale 84, 00146, Rome, Italy
² Max-Planck-Institut für Physik, Föhringer Ring 6, 80805, Munich, Germany
³ LPTHE, UPMC Univ. Paris 06, Sorbonne Universités, 4 Place Jussieu, 75252, Paris, France
⁴ LPTHE, CNRS, 4 Place Jussieu, 75252, Paris, France

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

Received: 27 October 2014
Accepted: 20 January 2015
Published online: 10 February 2015

Abstract

We compute the two-loop QCD corrections to the neutral Higgs-boson masses in the Minimal Supersymmetric Standard Model, including the effect of non-vanishing external momenta in the self-energies. We obtain corrections of and , i.e., all two-loop corrections that involve the strong gauge coupling when the only non-vanishing Yukawa coupling is the top one. We adopt either the renormalization scheme or a mixed on-shell (OS)– scheme where the top/stop parameters are renormalized on-shell. We compare our results with those of earlier calculations, pointing out an inconsistency in a recent result obtained in the mixed OS– scheme. The numerical impact of the new corrections on the prediction for the lightest-scalar mass is moderate, but already comparable to the accuracy of the Higgs-mass measurement at the Large Hadron Collider.