Threshold corrections to dimension-six proton decay operators in non-minimal SUSY SU(5) GUTs

Bajc, Borut; Hisano, Junji; Kuwahara, Takumi; Omura, Yuji

doi:10.1016/j.nuclphysb.2016.06.017

Cited by 28 publications

(27 citation statements)

References 68 publications

(110 reference statements)

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“…Similar one-loop formulae have also been presented for the models proposed in [4] and [5]. The interplay of the SUSY and GUT threshold corrections in the unification of the gauge couplings in the MSSM has been studied in various contexts, mostly by numerical methods [6][7][8][9][10][11][12][13][14][15][16][17][18][19][20]. Most such works have focused on constraining the GUT spectra, assuming the low energy supersymmetric spectrum is degenerate at m SU SY .…”

Section: Introductionmentioning

confidence: 93%

A new approach to gauge coupling unification and proton decay

Pokorski

Rolbiecki

Ross

et al. 2019

J. High Energ. Phys.

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An analytical formalism, including RG running at two loop order, is used to link the supersymmetric and GUT spectra in any GUT model in which the three gauge couplings unify.In each specific GUT model, one can then fully explore the interplay between the pattern of supersymmetry breaking and the prediction for the proton lifetime. With this formalism at hand, we study three concrete GUT models: (i) Minimal SU (5) SUSY GUT, (ii) Missing Partner SU (5) SUSY GUT, and (iii) an orbifold SU (5) SUSY GUT. In each case we derive interesting conclusions about the possible patterns of the supersymmetric spectrum once the present limits on the proton lifetime are imposed, and vice versa, we obtain the predictions for the proton lifetime for specific viable choices of the SUSY spectrum.1

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Section: Introductionmentioning

confidence: 93%

A new approach to gauge coupling unification and proton decay

Pokorski

Rolbiecki

Ross

et al. 2019

J. High Energ. Phys.

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“…We solve the F -flat conditions Eqs. (10)- (13) and the unification conditions by varying m A and the colored Higgs mass. Since Eq.…”

Section: Numerical Resultsmentioning

confidence: 99%

“…Therefore, it is worth pursuing the possibility that p → π 0 e + will be observed at HK. In fact, as the LHC results imply that the SUSY particles have mass above multi-TeV scale, some people revisit the unification conditions in the context of the high-scale SUSY scenario [12,13,14,15]. As the wino and gluino are heavier, the unification scale becomes lower, and it can reach the discovery range of HK for ∼10-100 TeV wino and gluino masses.…”

Section: Introductionmentioning

confidence: 99%

Detectable dimension-6 proton decay in SUSY SO(10) GUT at Hyper-Kamiokande

Haba

Mimura

Yamada

2019

J. High Energ. Phys.

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In the minimal SUSY SU(5) GUT with O(1) TeV SUSY particles and O(1) or below self-coupling for the GUT-breaking Higgs field, the width of the dimension-6 proton decay is suppressed below the reach of Hyper-Kamiokande. In this paper, we point out that a SUSY SO(10) GUT which adopts only 45 H + 16 H + 16 H GUT-breaking Higgs fields leads to an enhanced dimension-6 proton decay width detectable at Hyper-Kamiokande. The enhancement is because the SU(5)-breaking VEV of 45 H arises due to Planck-suppressed terms, W ∝ (45 2 H ) 2 /M * + 45 4 H /M * , and is therefore substantially larger than the other VEVs that conserve SU(5). As a result, the (3, 2, 1/6) GUT gauge boson mass is about 1/5 smaller than the (3, 2, −5/6) GUT gauge boson mass and can induce a fast dimension-6 proton decay. Through a numerical analysis on threshold corrections of the GUT gauge bosons and the physical components of the GUT-breaking Higgs fields, we confirm that the dimension-6 proton decay can be within the reach of Hyper-Kamiokande.

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“…(22) than for μ and m A . At each point we calculate τ p→π 0 e þ based on [16,17] 7 using α G and M G obtained by the two-loop RGE code. The horizontal black-dashed and red-solid lines represent the boundaries where all points below them have the lifetime shorter than the quoted values.…”

Section: Ew ; ð24þmentioning

confidence: 99%

Proton decay testing low energy supersymmetry with precision gauge unification

2018

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We show that gauge coupling unification in supersymmetry (SUSY) models can make a nontrivial interconnection between collider and proton decay experiments. Under the assumption of precise gauge coupling unification in the Minimal Supersymmeric Standard Model, with negligible grand unified theories threshold corrections, the low energy SUSY spectrum and the unification scale are intertwined, and the lower bound on the proton lifetime can be translated into upper bounds on SUSY masses. We find that the current limit on τðP → π 0 e þ Þ already excludes gluinos heavier than ∼70 (120 and 200) TeV if their mass ratio to winos, R ≡ M 3 /M 2 , is ∼1 (3 and 7), respectively. Next generation nucleon decay experiments are expected to bring these upper bounds down to ∼5 (10 and 15) TeV for R ∼ 1 (3 and 7). DOI: 10.1103/PhysRevD.97.035027 Proton decay would be the key evidence for grand unified theories (GUTs) [1]. Among possible decay channels, a special role is played by the p → π 0 e þ mode for which the dominant contribution may come from the D ¼ 6 operators depending almost exclusively on the X, Y boson mass and the unified gauge coupling. Unification of the gauge couplings in the minimal supersymmeric Standard Model (MSSM) as a link between the supersymmetric spectrum and the GUT spectrum and a window to the GUT physics has been studied intensively. Most such works have focused on constraining the GUT spectrum making simple assumptions on the low energy supersymmetry (SUSY) spectrum. In this study, we take the opposite approach, very similar to the one proposed in the early Ref.[2] with similar motivation.Following several studies [3,4], we assume that the unification of the gauge couplings is precise within the MSSM without threshold corrections of GUT scale particles. In fact, such a situation can be realized in a class of extra dimensional GUT models, proposed as a solution to the doublet-triplet splitting problem. In such a scenario, the relevant superheavy particles are in general mass degenerate around the compactification scale, leading to small threshold corrections. In particular, in a 6-D orbifold GUT model that breaks the GUT symmetry nonlocal by Wilson lines, the threshold correction exactly vanishes when the size of two extra dimensions are the same [5,6]. On the other hand, the GUT threshold corrections in conventional models depend on the mass ratios between superheavy particles forming incomplete multiplets (such as the colored Higgs and the X, Y bosons in the minimal SU(5)). If those superheavy particles have hierarchical mass spectra, the threshold corrections can become large enough to spoil "the success of gauge coupling unification in the MSSM" [5,8]. We stress again that all conclusions derived in this paper are subject to the assumption of the precision gauge coupling unification within the MSSM.Under the assumption of precise gauge coupling unification (GCU), we show that the low energy SUSY spectrum and the unification scale are intertwined, and the lower bound on the proton lifetime τ p→π 0...

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Threshold corrections to dimension-six proton decay operators in non-minimal SUSY SU(5) GUTs

Cited by 28 publications

References 68 publications

A new approach to gauge coupling unification and proton decay

A new approach to gauge coupling unification and proton decay

Detectable dimension-6 proton decay in SUSY SO(10) GUT at Hyper-Kamiokande

Proton decay testing low energy supersymmetry with precision gauge unification

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