A new approach to gauge coupling unification and proton decay

Pokorski, S.; Rolbiecki, Krzysztof; Ross, Graham G.; Sakurai, Kazuki

doi:10.1007/jhep04(2019)161

“…proton decay is high enough to put pressure on minimal supersymmetric SU(5) [16,17]. This problem is mitigated by the higher sparticle masses [13,[18][19][20][21][22][23][24][25][26][27][28][29] now required by fruitless LHC searches [30][31][32][33][34][35], and dimension-5 proton decay may be suppressed by a discrete symmetry such as the hexality [36] appearing in some stringy extra-dimensional models with local grand unification. Nevertheless, the proton decay issue has added to the motivations for considering the supersymmetric flipped SU(5) GUT [37][38][39][40][41][42][43], in which an economical missing-partner mechanism [40,[44][45][46] suppresses dimension-5 proton decay.…”

Section: Jhep05(2020)021mentioning

confidence: 99%

Proton decay: flipped vs. unflipped SU(5)

Ellis

¹

,

García

²

,

Nanopoulos

³

et al. 2020

J. High Energ. Phys.

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We analyze nucleon decay modes in a no-scale supersymmetric flipped SU(5) GUT model, and contrast them with the predictions for proton decays via dimension-6 operators in a standard unflipped supersymmetric SU(5) GUT model. We find that these GUT models make very different predictions for the ratios Γ(p → π 0 µ +)/Γ(p → π 0 e +), Γ(p → π +ν)/Γ(p → π 0 e +), Γ(p → K 0 e +)/Γ(p → π 0 e +) and Γ(p → K 0 µ +)/Γ(p → π 0 µ +), and that predictions for the ratios Γ(p → π 0 µ +)/Γ(p → π 0 e +) and Γ(p → π +ν)/Γ(p → π 0 e +) also differ in variants of the flipped SU(5) model with normal-or inverse-ordered light neutrino masses. Upcoming large neutrino experiments may have interesting opportunities to explore both GUT and flavour physics in proton and neutron decays.

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“…In order for this mechanism to work, the absence of the bilinear term for the 5 and 5 Higgs fields is crucial, which may be attributed to an additional symmetry [24][25][26][27][28][29]. In spite of the conceptual success of the missing partner mechanism, it is known that the missing partner model with the minimal matter content is incompatible with the perturbative gauge coupling unification due to the existence of large representations [30] and thus a more elaborate model building is required to realize this mechanism in SU (5).…”

Section: Introductionmentioning

confidence: 99%

R-symmetric flipped SU(5)

Hamaguchi

¹

,

Hor

²

2020

J. High Energ. Phys.

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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 → π0μ+ and p → K0μ+ decay modes, in contrast to ordinary grand unified models where p → π0e+ or p → $$ {K}^{+}\overline{\nu} $$ K + ν ¯ is the dominant decay mode. This characteristic prediction for the proton decay branches enables us to distinguish our model from other scenarios.

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“…14 It is stated in [80] that the minimal missing partner model we consider is ruled out because matching conditions force a non-perturbative gauge coupling at the GUT scale. We evade this conclusion by including the dimension-five operator in Eq.…”

Section: Supersymmetric Matching Conditionsmentioning

confidence: 99%

“…( 32) is dependent on the contribution of the dimension-five operator [81], which is contrary to the case in minimal SUSY SU(5) GUT [34,85]. The inclusion of terms ∝ d ∼ 0.2 in (31,32,33) avoids the problem of non-perturbative gauge couplings emphasized in [80].…”

Section: Supersymmetric Matching Conditionsmentioning

confidence: 99%

A minimal supersymmetric SU(5) missing-partner model

Ellis

¹

,

Evans

²

,

Olive

³

2021

Eur. Phys. J. C

2

0

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We explore a missing-partner model based on the minimal SU(5) gauge group with $$\mathbf{75} $$ 75 , $$\mathbf{50} $$ 50 and $$\overline{\mathbf{50 }}$$ 50 ¯ Higgs representations, assuming a super-GUT CMSSM scenario in which soft supersymmetry-breaking parameters are universal at some high scale $$M_{\mathrm{in}}$$ M in above the GUT scale $$M_{\mathrm{GUT}}$$ M GUT . We identify regions of parameter space that are consistent with the cosmological dark matter density, the measured Higgs mass and the experimental lower limit on $$\tau (p \rightarrow K^+ \nu )$$ τ ( p → K + ν ) . These constraints can be satisfied simultaneously along stop coannihilation strips in the super-GUT CMSSM with $$\tan \beta \sim $$ tan β ∼ 3.5–5 where the input gaugino mass $$m_{1/2} \sim $$ m 1 / 2 ∼ 15–25 TeV, corresponding after strong renormalization by the large GUT Higgs representations between $$M_{\mathrm{in}}$$ M in and $$M_{\mathrm{GUT}}$$ M GUT to $$m_{\mathrm{LSP}}, m_{{\tilde{t}}_1} \sim $$ m LSP , m t ~ 1 ∼ 2.5–5 TeV and $$m_{{\tilde{g}}} \sim $$ m g ~ ∼ 13–20 TeV, with the light-flavor squarks significantly heavier. We find that $$\tau (p \rightarrow K^+ \nu ) \lesssim 3 \times 10^{34}$$ τ ( p → K + ν ) ≲ 3 × 10 34 years throughout the allowed range of parameter space, within the range of the next generation of searches with the JUNO, DUNE and Hyper-Kamiokande experiments.

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A new approach to gauge coupling unification and proton decay

Cited by 9 publications

References 34 publications

Proton decay: flipped vs. unflipped SU(5)

Proton decay: flipped vs. unflipped SU(5)

R-symmetric flipped SU(5)

A minimal supersymmetric SU(5) missing-partner model

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