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

Jason L. Evans; Yoshihiro Shigekami

doi:10.1140/epjc/s10052-025-14368-7

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2023 Impact factor 4.2

Particles and Fields

Open Access

Eur. Phys. J. C (2025) 85: 628
https://doi.org/10.1140/epjc/s10052-025-14368-7

Regular Article - Theoretical Physics

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

Jason L. Evans¹^,2 and Yoshihiro Shigekami³^a

¹ Tsung-Dao Lee Institute, Shanghai Jiao Tong University, 201210, Shanghai, China
² School of Physics and Astronomy, Shanghai Jiao Tong University, 200240, Shanghai, China
³ Institute of Particle and Nuclear Physics, Henan Normal University, 453007, Xinxiang, Henan, China

^a shigekami@htu.edu.cn

Received: 30 September 2024
Accepted: 26 May 2025
Published online: 7 June 2025

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 $5 + \bar{5}$ $\textbf{5} + \bar{\textbf{5}}$ 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, $p \to K^{+} \bar{ν}$ $p \rightarrow K^+ \bar{\nu }$ . In our setup, we assume the messenger scale to be $O (10^{3})$ $\mathcal {O}(10^3)$ 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.

© The Author(s) 2025

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