Proton Lifetime in Minimal Supersymmetric SU(5) with Gauge Mediation

Abstract

In this paper, we discuss the predicted proton lifetimes in minimal supersymmetric (SUSY) $SU(5)$ grand unified theory (GUT) with gauge mediated supersymmetry breaking (GMSB). We focus on the case of $5+\bar{5}$ messengers and determine the low-scale mass spectrum of the scalar particles and gauginos using the renormalization group equations. With the obtained mass spectrum, we calculate the dominant proton decay mode for SUSY $SU(5)$ GUT, $p\to K^{+}\bar{\nu }$. In our setup, we assume the messenger scale to be $\mathcal{O}(10^3)$ TeV in order to obtain a proper Higgs mass in GMSB scenario. For this messenger scale, we find the proton lifetime is consistent with current experimental limits and can be tested by future proton decay experiments.

7 pages, 1 figure

References in corpus (19)

• Combined Measurement of the Higgs Boson Mass in $pp$ Collisions at $\sqrt{s}=7$ and 8 TeV with the ATLAS and CMS Experiments
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.46 ppm
• The $g-2$ of charged leptons, $\alpha (M_Z^2)$ and the hyperfine splitting of muonium
• Measurement of the Positive Muon Anomalous Magnetic Moment to 0.20 ppm
• Search for Proton Decay via $p\to \nu K^{+}$ using 260 kiloton$\cdot$year data of Super-Kamiokande
• More Visible Effects of the Hidden Sector
• Natural mu and Bmu in gauge mediation
• A hidden solution to the mu/B_mu problem in gauge mediation
• Search for top squark production in fully-hadronic final states in proton-proton collisions at $\sqrt{s}=$ 13 TeV
• A New Approach to mu-Bmu
• Combined measurement of the Higgs boson mass from the $H\to \gamma \gamma$ and $H\to Z{Z}^{\ast }\to 4\ell$ decay channels with the ATLAS detector using $\sqrt{s}$ = 7, 8 and 13 TeV $pp$ collision data
• SU(5) Grand Unification in Pure Gravity Mediation
• Lopsided Gauge Mediation
• Search for new phenomena in $pp$ collisions in final states with tau leptons, $b$-jets, and missing transverse momentum with the ATLAS detector
• Dynamically Solving the $\mu /B_{\mu }$ Problem in Gauge-mediated Supersymmetry Breaking
• A CP-safe solution of the mu/ Bmu problem of gauge mediation
• Search for new physics in multijet events with at least one photon and large missing transverse momentum in proton-proton collisions at 13 TeV
• Upper Limit on the Proton Lifetime in Minimal Supersymetric SU(5)
• Statistical significances and projections for proton decay experiments