DOI: 10.1140/epjc/s10052-026-16195-w ISSN: 1434-6052

Planck-scale effects on nucleon decay in minimal supersymmetric SU(5)

John Ellis, Jason L. Evans, Shihwen Hor, Natsumi Nagata, Keith A. Olive
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Abstract

We examine the impact on the phenomenology of the minimal supersymmetric SU(5) Grand Unified Theory (GUT) of dimension-5 operators with coefficients suppressed by the Planck mass scale, with particular emphasis on predictions for nucleon decay. We incorporate dimension-5 operators in both the Higgs sector and the Yukawa interactions in the theory, and take account of the constraints from gauge coupling measurements, the mass of the Higgs boson, fermion masses and the cold dark matter density. We consider two scenarios for soft supersymmetry breaking: the constrained minimal supersymmetric extension of the Standard Model (CMSSM) and the Non-Universal Higgs Model (NUHM). We present predictions for the nucleon decay modes

$$p \rightarrow \pi ^0 e^+, \pi ^0 \mu ^+, K^+ \bar{\nu }, \pi ^+ \bar{\nu }$$ p → π 0 e + , π 0 μ + , K + ν ¯ , π + ν ¯
,
$$K^0 e^+, K^0 \mu ^+$$ K 0 e + , K 0 μ +
and
$$n\rightarrow \pi ^0 \bar{\nu }$$ n → π 0 ν ¯
,
$$\pi ^- e^+, K^0 \bar{\nu }$$ π - e + , K 0 ν ¯
, which we compare with both the present experimental sensitivities and those projected for the JUNO and Hyper-Kamiokande experiments. We find that these experiments may have interesting possibilities for discovering several of these decay modes.

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