Leading two-loop corrections to the Higgs boson masses in SUSY models with Dirac gauginos

Abstract

Abstract:We compute the two-loop O(α t α s ) corrections to the Higgs boson masses in supersymmetric extensions of the Standard Model with Dirac gaugino masses. We rely on the effective-potential technique, allow for both Dirac and Majorana mass terms for the gluinos, and compute the corrections in both the DR and on-shell renormalisation schemes. We give detailed results for the MDGSSM and the MRSSM, and simple approximate formulae valid in the decoupling limit for all currently-studied variants of supersymmetric models with Dirac gluinos. These results represent the first explicit two-loop calculation of Higgs boson masses in supersymmetric models beyond the MSSM and the NMSSM.

Full two-loop QCD corrections to the Higgs mass in the MSSM with heavy superpartners

“…On the other hand, in scenarios in which the gluino is heavier than the squarks the twoloop corrections to the quartic Higgs coupling contain potentially large terms enhanced by powers of the ratios between the gluino mass and the squark masses. This is a well-known aspect of the DR renormalization of the squark masses and trilinear couplings [24,66,72,111], which could be addressed either by devising an "on-shell" scheme adapted to the heavy-SUSY setup, or by building a tower of EFTs in which the gluino is independently decoupled at a higher scale than the squarks.…”

Higgs-boson masses and mixing matrices in the NMSSM: analysis of on-shell calculations

“…The same observation, namely that, from different treatments of α s , one obtains a less optimistic result for the theoretical uncertainty than by a comparison between DR and OS renormalization scheme, was also made in Ref. [69] in the context of the MSSM with Dirac gluinos. In Table 12 the mixing-matrix elements for the different options of the renormalization of the top/stop sector can be found.…”

R-symmetry for Higgs alignment without decoupling

“…An important feature of such constructions considered here [1,4,[22][23][24] is that gauginos have Dirac masses [25][26][27][28][29]. Also these N = 2 extended models have implication for Higgs boson physics as discussed in [4,[30][31][32][33][34][35][36][37][38][39][40][41][42][43].…”