Constraints of theB_μ/μ solution due to the hidden sector renormalization

Abstract

We investigate the validity of an idea that the B µ problem is solvable via the renormalization effect in the strongly interacting hidden sector within the gauge mediated supersymmetry breaking scenario. Our analysis starts with a naive boundary condition, which is that the squared scalar masses experience 16π 2 suppression. We use softsusy to get the low energy spectra of superparticles with the boundary condition at the scale (Λ CF T ) where the hidden sector is integrated out. We visit the low energy spectra and return to Λ CF T where the boundary conditions are given. We find that there is a sign problem, which seems to be generic.Keywords: MSSM, µ problem in GMSB, RG effect of the Hidden Sector.

Axions and the Strong CP Problem

“…Recently, a better solution employing a Kähler potential H u H d (ln X + ln X † ) has been suggested[175, Giudice, Kim, Rattazzi (2008)], which can be compared to the original Giudice-Masiero Kähler potential H u H d X † + • • • . There exist several more ideas toward the B µ /µ problem[79,107,278,322, Cohen, Roy,…”

Neutralino dark matter in gauge mediation after run I of LHC and LUX

“…However, the dynamics of the hidden sector may be important to determine the MSSM spectrum if the SUSY breaking sector is strongly coupled [11][12][13][14][75][76][77][78][79][80][81][82][83][84][85][86][87][88][89][90]. One of the interesting mechanisms in the hidden sector is conformal sequestering, which can raise the mass of the gravitino relative to the dangerous Planck-scale induced soft masses [11][12][13][14].…”

Heavy superpartners with less tuning from hidden sector renormalisation

“…It is possible such a structure could be linked to the fermion mass heirachy, in the style of the classic 'natural' SUSY spectra [24,25]. 6 This breaking of a gauged flavour group, could even trigger the supersymmetry breaking sector to run into strong coupling, especially since the SU(2) structures which arise in the model of [26] often appear in interesting candidates for conformal theories. 7 Assuming all sfermion soft masses are enhanced, it is possible to obtain a model with a weak scale gluino mass of 3 TeV, and sfermion masses in the region of 7 TeV, with an associated tunings of only one part in 25 and one part in 50 with respect to the sfermion and gluino masses respectively.…”

“…In this paper, we show that the fine tuning with respect to the mass of the superpartners, at the assumed ultraviolet (UV) boundary of the renormalisation group (RG) flow, can be substantially reduced through the effects of hidden sector renormalisation, first studied in [1][2][3], and later expanded on in [4][5][6][7][8][9][10][11][12]. This is an effect where the RG flow of MSSM scalar soft masses may be significantly modified by the details of the hidden SUSY breaking sector.…”