Probing the Supersymmetric Grand Unified Theories with Gravity Mediation at the Future Proton-Proton Colliders and Hyper-Kamiokande Experiment

TL;DR

This paper explores how future proton-proton colliders and Hyper-Kamiokande can test supersymmetric GUTs with gravity mediation, focusing on proton decay and superpartner mass bounds, providing concrete experimental goals.

Contribution

It provides detailed predictions for probing supersymmetric GUTs with gravity mediation at upcoming experiments, including bounds on GUT scale and superpartner masses.

Findings

Hyper-Kamiokande can probe GUT scale up to 1.778×10^{16} GeV via proton decay.

Upper bounds on gluino mass are 15 TeV and 8 TeV for different GUT scales.

Future colliders can search for gluinos and other superpartners to test GUT models.

Abstract

With the grand desert hypothesis, we have proposed to probe the supersymmetric Grand Unified Theories (GUTs) at the future proton-proton (pp) colliders and Hyper-Kamiokande experiment previously. In this paper, we study the supersymmetric GUTs with gravity mediated supersymmetry breaking in details. First, considering the dimension-six proton decay via heavy gauge boson exchange, we point out that we can probe the supersymmetric GUTs with GUT scale $M_{GUT}$ up to $1.778\times 10^{16}$ GeV at the Hyper-Kamiokande experiment. Second, for the supersymmetric GUTs with $M_{GUT} \ge 1.0\times 10^{16}$ GeV and $M_{GUT} \ge 1.2\times 10^{16}$ GeV, we show that the upper bounds on the universal gaugino mass are $7.2$ TeV and 3.5 TeV, respectively, and thus the corresponding upper bounds on gluino mass are 15 TeV and 8 TeV, respectively. Also, we shall study the masses for charginos, neutralinos, squarks, sleptons, and Higgs particles in details. In particular, the supersymmetric GUTs with $M_{GUT} \leq 1.2\times 10^{16}$ GeV can be probed at the Hyper-Kamiokande experiment, and the supersymmetric GUTs with $M_{GUT}\ge 1.2\times 10^{16}$ GeV can be probed at the future 100 TeV pp collider experiments such as the ${\rm FCC}_{\rm hh}$ and SppC via gluino searches. Thus, the supersymmetric GUTs with gravity mediation can be probed by the ${\rm FCC}_{\rm hh}$, SppC, and Hyper-Kamiokande experiments. In our previous study, we have shown that the supersymmetric GUTs with anomaly and gauge mediated supersymmetry breakings are well within the reaches of these experiments. Therefore, our proposal provides the concrete scientific goal for the ${\rm FCC}_{\rm hh}$, SppC, and Hyper-Kamiokande experiments: probing the supersymmetric GUTs.