Abstract
We show that gauge coupling unification in SUSY models can make a non-trivial interconnection between collider and proton decay experiments. Under the assumption of precise gauge coupling unification in the MSSM, the low energy SUSY spectrum and the unification scale are intertwined, and the lower bound on the proton lifetime can be translated into upper bounds on SUSY masses. We found that the current limit on $\tau(p \to \pi^0 e^+)$ already excludes gluinos and winos heavier than $\sim 120$ and 40 TeV, respectively, if their mass ratio is $M_3/M_2 \sim 3$. Next generation nucleon decay experiments are expected to bring these upper bounds down to $\sim 10$ and 3 TeV.
Highlights
Following several studies [3,4], we assume that the unification of the gauge couplings is precise within the MSSM without threshold corrections of GUT scale particles
The GUT threshold corrections in conventional models depend on the mass ratios between superheavy particles forming incomplete multiplets (such as the colored Higgs and the X, Y bosons in the minimal SU(5))
We stress again that all conclusions derived in this paper are subject to the assumption of the precision gauge coupling unification within the MSSM
Summary
POKORSKI, ROLBIECKI, and SAKURAI diagrams, gives a strong constraint on the colored Higgs mass and low energy SUSY spectrum as well as the structure of the Higgs sector in the GUT models [11]. This mode is highly model-dependent, and several mechanisms have been known to suppress it independently of the GCU [12].3. −7Þ are the one-loop β-function coefficients for the Standard Model (SM) In this case, precision gauge unification α1ðQÞ 1⁄4 α2ðQÞ 1⁄4 α3ðQÞ ≡ αÃG is achieved by the particular values, Ms 1⁄4 MÃs, Q 1⁄4 MdGeg Ã, satisfying. See for example [14]
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