Upper Bounds on Superpartner Masses from Upper Bounds on the Higgs Boson Mass

Abstract

The LHC is putting bounds on the Higgs boson mass. In this Letter we use those bounds to constrain the minimal supersymmetric standard model (MSSM) parameter space using the fact that, in supersymmetry, the Higgs mass is a function of the masses of sparticles, and therefore an upper bound on the Higgs mass translates into an upper bound for the masses for superpartners. We show that, although current bounds do not constrain the MSSM parameter space from above, once the Higgs mass bound improves big regions of this parameter space will be excluded, putting upper bounds on supersymmetry (SUSY) masses. On the other hand, for the case of split-SUSY we show that, for moderate or large tanβ, the present bounds on the Higgs mass imply that the common mass for scalars cannot be greater than 10(11) GeV. We show how these bounds will evolve as LHC continues to improve the limits on the Higgs mass.

What is a natural SUSY scenario?

“…As is well known, the value of tan β must be rather large, so that the tree-level Higgs mass, (m 2 h ) tree−level = M 2 Z cos 2 2β, is as large as possible, M 2 Z ; otherwise, the radiative corrections needed to reconcile the Higgs mass with its experimental value, would imply gigantic stop masses [85,86] (see subsection 2.3 above) and thus an extremely fine-tuned scenario. Notice here that the focus-point regime is not useful to cure such fine-tuning since it only works if tan β is rather large and stop masses are not huge.…”

Investigating the near-criticality of the Higgs boson

“…It is not difficult to imagine theories able to drive λ(M Pl ) to zero: high-scale supersymmetry with tan β = 1 [123][124][125][126][127][128]; partial N = 2 supersymmetry insuring D-flatness [129,130]; an approximate Goldstone or shift symmetry [131,132]; an infrared fixed-point of some transplanckian physics [121]; a powerlaw running in a quasi-conformal theory. Present data suggest that an exact zero of λ is reached at scales of about 10 10 -10 12 GeV, see eq.…”

Higgs mass and vacuum stability in the Standard Model at NNLO

“…A dedicated analysis of the resulting prediction for the Higgs mass as function ofm and of tan β was performed in [57] (see also [58]). We here update the results, including the new correction which increases the predicted Higgs mass by an amount that changes with M h .…”