Probing the Supersymmetric Grand Unified Theories 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, focusing on proton decay and superpartner mass bounds, thus providing experimental avenues for GUT validation.

Contribution

It presents the first detailed analysis of probing supersymmetric GUTs at future colliders and Hyper-Kamiokande, including bounds on superpartner masses and proton decay detection.

Findings

Proton decay via heavy gauge boson exchange can be probed at Hyper-Kamiokande for certain GUT scales.

Future 100 TeV colliders can detect GUTs with anomaly and gauge mediated supersymmetry breaking.

160 TeV colliders can explore supersymmetric GUTs with gravity mediated supersymmetry breaking.

Abstract

Gauge coupling unification in the Supersymmetric Standard Models strongly implies the Grand Unified Theories (GUTs). With the grand desert hypothesis, we show that the supersymmetric GUTs can be probed at the future proton-proton (pp) colliders and Hyper-Kamiokande experiment. For the GUTs with the GUT scale $M_{GUT} \le 1.0\times 10^{16}$ GeV, we can probe the dimension-six proton decay via heavy gauge boson exchange at the Hyper-Kamiokande experiment. Moreover, for the GUTs with $M_{GUT} \ge 1.0\times 10^{16}$ GeV, we for the first time study the upper bounds on the gaugino and sfermion masses. We show that the GUTs with anomaly and gauge mediated supersymmetry breakings are well within the reaches of the future 100 TeV pp colliders such as the ${\rm FCC}_{\rm hh}$ and SppC, and the supersymmetric GUTs with gravity mediated supersymmetry breaking can be probed at the future 160 TeV pp collider.