We will explore the consequences on the electroweak breaking condition, the mass of supersymmetric partners and the scale at which supersymmetry breaking is transmitted, for arbitrary values of the supersymmetric parameters tanβ and the stop mixing Xt, which follow from the Higgs discovery with a mass mH≃126GeV at the LHC. Within the present uncertainty on the top quark mass we deduce that radiative breaking requires tanβ 8 for maximal mixing Xt≃6, and tanβ 20 for small mixing Xt 1.8. The scale at which supersymmetry breaking is transmitted M can be of order the unification or Planck scale only for large values of tanβ and negligible mixing Xt≃0. On the other hand for maximal mixing and large values of tanβ supersymmetry should break at scales as low as M≃105GeV. The uncertainty in those predictions stemming from the uncertainty in the top quark mass, i.e. the top Yukawa coupling, is small (large) for large (small) values of tanβ. In fact for tanβ=1 the uncertainty on the value of M is several orders of magnitude. © 2014 American Physical Society.
|Journal||Physical Review D - Particles, Fields, Gravitation and Cosmology|
|Publication status||Published - 15 Jul 2014|