Bounds on nucleon decays to three leptons are obtained from dim-6 LEFT Wilson coefficients constrained by two-body BNV limits, yielding results several orders of magnitude different from prior phase-space estimates for Δ(B-L)=0 modes.
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Proton stability in grand unified theories, in strings, and in branes
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abstract
A broad overview of the current status of proton stability in unified models of particle interactions is given which includes non - supersymmetric unification, SUSY and SUGRA unified models, unification based on extra dimensions, and string-M-theory models. The extra dimensional unification includes 5D and 6D and universal extra dimensional (UED) models, and models based on warped geometry. Proton stability in a wide array of string theory and M theory models is reviewed. These include Calabi-Yau models, grand unified models with Kac-Moody levels $k>1$, a new class of heterotic string models, models based on intersecting D branes, and string landscape models. The destabilizing effect of quantum gravity on the proton is discussed. The possibility of testing grand unified models, models based on extra dimensions and string-M-theory models via their distinctive modes is investigated. The proposed next generation proton decay experiments, HyperK, UNO, MEMPHYS, ICARUS, LANNDD (DUSEL), and LENA would shed significant light on the nature of unification complementary to the physics at the LHC. Mathematical tools for the computation of proton lifetime are given in the appendices. Prospects for the future are discussed.
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representative citing papers
One-loop corrections in minimal SO(10) GUTs cause 30-40% shifts in neutrino observables from tree-level fits, requiring their inclusion for reliable parameter space exploration.
A chiral EFT framework is constructed for |ΔB|=2 interactions that matches SMEFT operators to low-energy baryon processes and identifies new dinucleon decay channels sensitive to previously unconstrained operator structures.
STCF with 1 ab^{-1} can probe several-TeV new-physics scales in sterile-neutrino EFT and constrain an RPV SUSY parameter to ~0.1 TeV^{-2} for apparent BNV in unexplored Lambda_c+ channels.
SO(10) scalar threshold corrections generate the Higgs quartic enhancement factor k≈6 required by radiative electroweak symmetry breaking, placing the Landau pole at 1.5-2×10^16 GeV near the GUT scale.
Corrected reality conditions on the 10 and 120 Higgs representations in minimal SO(10) allow the Yukawa sector to fit all fermion masses and mixings while predicting a hierarchical right-handed neutrino spectrum and proton decay modes testable in upcoming experiments.
Lecture notes providing a technical introduction to naturalness problems and the string theory landscape for graduate students.
citing papers explorer
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Nucleon decays into three leptons: Noncontact contributions
Bounds on nucleon decays to three leptons are obtained from dim-6 LEFT Wilson coefficients constrained by two-body BNV limits, yielding results several orders of magnitude different from prior phase-space estimates for Δ(B-L)=0 modes.
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Towards Precision Neutrino Fits in GUTs: Relevance of One-Loop Finite Corrections
One-loop corrections in minimal SO(10) GUTs cause 30-40% shifts in neutrino observables from tree-level fits, requiring their inclusion for reliable parameter space exploration.
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EFT Pathways to $|\Delta B| =2$: Chiral Constructions and Phenomenology
A chiral EFT framework is constructed for |ΔB|=2 interactions that matches SMEFT operators to low-energy baryon processes and identifies new dinucleon decay channels sensitive to previously unconstrained operator structures.
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Searching for apparent baryon number violation in $\Lambda_c^+$ decays at the Super Tau-Charm Facility
STCF with 1 ab^{-1} can probe several-TeV new-physics scales in sterile-neutrino EFT and constrain an RPV SUSY parameter to ~0.1 TeV^{-2} for apparent BNV in unexplored Lambda_c+ channels.
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Grand Unified Origin of Enhanced Scalar Couplings: Connecting Radiative Electroweak Symmetry Breaking to SO(10) Dynamics
SO(10) scalar threshold corrections generate the Higgs quartic enhancement factor k≈6 required by radiative electroweak symmetry breaking, placing the Landau pole at 1.5-2×10^16 GeV near the GUT scale.
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Reality-constrained Minimal Yukawa Structure in SO(10) GUT
Corrected reality conditions on the 10 and 120 Higgs representations in minimal SO(10) allow the Yukawa sector to fit all fermion masses and mixings while predicting a hierarchical right-handed neutrino spectrum and proton decay modes testable in upcoming experiments.
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Lectures on Naturalness, String Landscape and Multiverse
Lecture notes providing a technical introduction to naturalness problems and the string theory landscape for graduate students.