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

G Degrassi (1) , S Di Vita (2) , Pietro Slavich (3)

1 Dipartimento di Matematica e Fisica
2 MPI-P - Max-Planck-Institut für Physik (Werner-Heisenberg-Institut)
3 LPTHE - Laboratoire de Physique Théorique et Hautes Energies

We compute the two-loop QCD corrections to the neutral Higgs-boson masses in the Minimal Supersymmet-ric Standard Model, including the effect of non-vanishing external momenta in the self-energies. We obtain correc-tions of O(α t α s) and O(αα s), 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 DR renormalization scheme or a mixed on-shell (OS)– DR scheme where the top/stop parameters are renormalized on-shell. We compare our results with those of earlier calcula-tions, pointing out an inconsistency in a recent result obtained in the mixed OS–DR 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.

Domaines: Physique des Hautes Energies - Théorie [hep-th]

G Degrassi, S Di Vita, Pietro Slavich. Two-loop QCD corrections to the MSSM Higgs masses beyond the effective-potential approximation. European Physical Journal C: Particles and Fields, 2015, 75, pp.61. ⟨10.1140/epjc/s10052-015-3280-5⟩. ⟨hal-01116501⟩