AbstractWe explore a missing-partner model based on the minimal SU(5) gauge group with $$\mathbf{75} $$
75
, $$\mathbf{50} $$
50
and $$\overline{\mathbf{50 }}$$
50
¯
Higgs representations, assuming a super-GUT CMSSM scenario in which soft supersymmetry-breaking parameters are universal at some high scale $$M_{\mathrm{in}}$$
M
in
above the GUT scale $$M_{\mathrm{GUT}}$$
M
GUT
. We identify regions of parameter space that are consistent with the cosmological dark matter density, the measured Higgs mass and the experimental lower limit on $$\tau (p \rightarrow K^+ \nu )$$
τ
(
p
→
K
+
ν
)
. These constraints can be satisfied simultaneously along stop coannihilation strips in the super-GUT CMSSM with $$\tan \beta \sim $$
tan
β
∼
3.5–5 where the input gaugino mass $$m_{1/2} \sim $$
m
1
/
2
∼
15–25 TeV, corresponding after strong renormalization by the large GUT Higgs representations between $$M_{\mathrm{in}}$$
M
in
and $$M_{\mathrm{GUT}}$$
M
GUT
to $$m_{\mathrm{LSP}}, m_{{\tilde{t}}_1} \sim $$
m
LSP
,
m
t
~
1
∼
2.5–5 TeV and $$m_{{\tilde{g}}} \sim $$
m
g
~
∼
13–20 TeV, with the light-flavor squarks significantly heavier. We find that $$\tau (p \rightarrow K^+ \nu ) \lesssim 3 \times 10^{34}$$
τ
(
p
→
K
+
ν
)
≲
3
×
10
34
years throughout the allowed range of parameter space, within the range of the next generation of searches with the JUNO, DUNE and Hyper-Kamiokande experiments.
Gluino decay as a probe of high scale supersymmetry breaking
