R -symmetric flipped SU(5)
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Springer
Received: August Revised: October Accepted: October Published: November
31, 16, 24, 25,
2020 2020 2020 2020
R-symmetric flipped SU(5)
a
Department of Physics, University of Tokyo, Bunkyo-ku, Tokyo 113-0033, Japan b Kavli Institute for the Physics and Mathematics of the Universe (Kavli IPMU), University of Tokyo, Kashiwa 277-8583, Japan
E-mail: [email protected], [email protected], [email protected] Abstract: We construct a supersymmetric flipped SU(5) grand unified model that possesses an R symmetry. This R symmetry forbids dangerous non-renormalizable operators suppressed by a cut-off scale up to sufficiently large mass dimensions so that the SU(5)breaking Higgs field develops a vacuum expectation value of the order of the unification scale along the F - and D-flat directions, with the help of the supersymmetry-breaking effect. The mass terms of the Higgs fields are also forbidden by the R symmetry, with which the doublet-triplet splitting problem is solved with the missing partner mechanism. The masses of right-handed neutrinos are generated by non-renormalizable operators, which then yield a light neutrino mass spectrum and mixing through the seesaw mechanism that are consistent with neutrino oscillation data. This model predicts one of the color-triplet Higgs multiplets to lie at an intermediate scale, and its mass is found to be constrained by proton decay experiments to be & 5 × 1011 GeV. If it is . 1012 GeV, future proton decay experiments at Hyper-Kamiokande can test our model in the p → π 0 µ+ and p → K 0 µ+ decay modes, in contrast to ordinary grand unified models where p → π 0 e+ or p → K + ν¯ is the dominant decay mode. This characteristic prediction for the proton decay branches enables us to distinguish our model from other scenarios. Keywords: Supersymmetry Phenomenology ArXiv ePrint: 2008.08940
c The Authors. Open Access, Article funded by SCOAP3 .
https://doi.org/10.1007/JHEP11(2020)140
JHEP11(2020)140
Koichi Hamaguchi,a,b Shihwen Hora and Natsumi Nagataa
Contents 1 Introduction
1 3 3 5 10 11
3 Flavor structure
12
4 Proton decay 4.1 Dimension-five proton decay 4.2 Dimension-six proton decay
15 16 17
5 Conclusion and discussion
22
A Model with a discrete R-symmetry
23
1
Introduction
Quarks and leptons in the Standard Model (SM) may be unified at high energies. Since 1970’s, there have been many efforts to construct a concrete model that accommodates the unification of quarks and leptons, as well as of the strong and electroweak interactions [1– 6]. Most of these models — dubbed as grand unified theories (GUTs) — predict that the unification is achieved at a very high energy [7], and the large difference between the electroweak and unification scales brings about the hierarchy problem [8–12]. The electroweak scale may be stabilized against this large hierarchy if supersymmetry (SUSY) appears above the electroweak scale, which highly motivates SUSY GUTs [13, 14]. In particular, the minimal SUSY SU(5) GUT [13, 14] has
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