Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: The PeV-Scale Split Supersymmetry from Higgs Mass and Electroweak Vacuum
  Stability   The null results of the LHC searches have put strong bounds on new physics
scenario such as supersymmetry (SUSY). With the latest values of top quark mass
and strong coupling, we study the upper bounds on the sfermion masses in
Split-SUSY from the observed Higgs boson mass and electroweak (EW) vacuum
stability. To be consistent with the observed Higgs mass, we find that the
largest value of supersymmetry breaking scales $M_{S}$ for $\tan\beta=2$ and
$\tan\beta=4$ are $\mathcal{O} (10^{3}\, {\rm TeV})$ and $\mathcal{O}
(10^{1.5}\, {\rm TeV})$ respectively, thus putting an upper bound on the
sfermion masses around $10^{3}\, {\rm TeV}$. In addition, the Higgs quartic
coupling becomes negative at much lower scale than the Standard Model (SM), and
we extract the upper bound of $\mathcal{O}(10^{4}\, {\rm TeV})$ on the sfermion
masses from EW vacuum stability. Therefore, we obtain the PeV-Scale Split-SUSY.
The key point is the extra contributions to the Renormalization Group Equation
(RGE) running from the couplings among Higgs boson, Higgsinos, and gauginos. We
briefly comment on the lifetime of gluinos in our study and compare it with
current LHC observations. Additionally, we comment on the prospects of
discovery of prompt gluinos in a 100 TeV proton-propton collider.

33
The categories of this paper are: plasm-ph
25
The categories of this paper are: patt-sol
18
The categories of this paper are: econ
34
The categories of this paper are: chem-ph
28
The categories of this paper are: alg-geom
22
The categories of this paper are: chao-dyn
17
The categories of this paper are: q-fin
16
The categories of this paper are: stat
12
The categories of this paper are: nucl-th
37
The categories of this paper are: supr-con
35
The categories of this paper are: mtrl-th
8
The categories of this paper are: hep-ex
2
The categories of this paper are: math
11
The categories of this paper are: hep-lat
30
The categories of this paper are: q-alg
20
The categories of this paper are: acc-phys