scholarly journals Nonlocal SU(5) GUT

2021 ◽  
pp. 2150104
Author(s):  
N. V. Krasnikov
Keyword(s):  
Ultraviolet Cutoff ◽  
Proton Lifetime ◽  
Gut Scale ◽  
Weinberg Angle

We show that in nonlocal generalization of standard nonsupersymmetric SU(5) GUT, it is possible to solve the problems with the proton lifetime and the Weinberg angle without introduction of additional particles in the spectrum of the theory. Nonlocal scale [Formula: see text] responsible for ultraviolet cutoff coincides (up to some factor) with GUT scale [Formula: see text]. We find that in the simplest nonlocal modification of the SU(5) model, [Formula: see text]GeV. In the general case, the value of [Formula: see text] is an arbitrary and the most interesting option [Formula: see text] could be realized.

scholarly journals Confronting SO(10) GUTs with proton decay and gravitational waves

2021 ◽  
Vol 2021 (10) ◽  
Author(s):  
Stephen F. King ◽  
Silvia Pascoli ◽  
Ye-Ling Zhou ◽  
Jessica Turner
Keyword(s):  
Gravitational Wave ◽  
Gravitational Waves ◽  
Cosmic String ◽  
Cosmic Strings ◽  
Proton Decay ◽  
Null Results ◽  
Grand Unified Theories ◽  
Unified Theories ◽  
Proton Lifetime ◽  
Gut Scale

Abstract Grand Unified Theories (GUT) predict proton decay as well as the formation of cosmic strings which can generate gravitational waves. We determine which non-supersymmetric SO(10) breaking chains provide gauge unification in addition to a gravitational signal from cosmic strings. We calculate the GUT and intermediate scales for these SO(10) breaking chains by solving the renormalisation group equations at the two-loop level. This analysis predicts the GUT scale, hence the proton lifetime, in addition to the scale of cosmic string generation and thus the associated gravitational wave signal. We determine which SO(10) breaking chains survive in the event of the null results of the next generation of gravitational waves and proton decay searches and determine the correlations between proton decay and gravitational waves scales if these observables are measured.

scholarly journals Observable proton decay in flipped SU(5)

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Maria Mehmood ◽  
Mansoor Ur Rehman ◽  
Qaisar Shafi
Keyword(s):  
Neutrino Mass ◽  
Gauge Coupling ◽  
Proton Decay ◽  
Type I ◽  
Mass Model ◽  
Intermediate Scale ◽  
Decay Channels ◽  
Proton Lifetime ◽  
Hybrid Inflation ◽  
Neutrino Mass Models

Abstract We explore proton decay in a class of realistic supersymmetric flipped SU(5) models supplemented by a U(1)R symmetry which plays an essential role in implementing hybrid inflation. Two distinct neutrino mass models, based on inverse seesaw and type I seesaw, are identified, with the latter arising from the breaking of U(1)R by nonrenormalizable superpotential terms. Depending on the neutrino mass model an appropriate set of intermediate scale color triplets from the Higgs superfields play a key role in proton decay channels that include p → (e+, μ+) π0, p → (e+, μ+) K0, p →$$ \overline{v}{\pi}^{+} $$ v ¯ π + , and p →$$ \overline{v}{K}^{+} $$ v ¯ K + . We identify regions of the parameter space that yield proton lifetime estimates which are testable at Hyper-Kamiokande and other next generation experiments. We discuss how gauge coupling unification in the presence of intermediate scale particles is realized, and a Z4 symmetry is utilized to show how such intermediate scales can arise in flipped SU(5). Finally, we compare our predictions for proton decay with previous work based on SU(5) and flipped SU(5).

scholarly journals SUSY breaking constraints on modular flavor S3 invariant SU(5) GUT model

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Xiaokang Du ◽  
Fei Wang
Keyword(s):  
Susy Breaking ◽  
Flavor Symmetry ◽  
Modular Invariance ◽  
Lepton Flavor ◽  
Flavor Structure ◽  
Flavor Mixing ◽  
Breaking Mechanism ◽  
Gut Scale ◽  
Additional Constraints ◽  
Rule Out

Abstract Modular flavor symmetry can be used to explain the quark and lepton flavor structures. The SUSY partners of quarks and leptons, which share the same superpotential with the quarks and leptons, will also be constrained by the modular flavor structure and show a different flavor(mixing) pattern at the GUT scale. So, in realistic modular flavor models with SUSY completion, constraints from the collider and DM constraints can also be used to constrain the possible values of the modulus parameter. In the first part of this work, we discuss the possibility that the S3 modular symmetry can be preserved by the fixed points of T2/ZN orbifold, especially from T2/Z2. To illustrate the additional constraints from collider etc on modular flavor symmetry models, we take the simplest UV SUSY-completion S3 modular invariance SU(5) GUT model as an example with generalized gravity mediation SUSY breaking mechanism. We find that such constraints can indeed be useful to rule out a large portion of the modulus parameters. Our numerical results show that the UV-completed model can account for both the SM (plus neutrino) flavor structure and the collider, DM constraints. Such discussions can also be applied straightforwardly to other modular flavor symmetry models, such as A4 or S4 models.

The sphaleron at non-zero Weinberg angle

1992 ◽  
Vol 55 (3) ◽  
pp. 515-523 ◽  
Author(s):  
Margaret E. R. James
Keyword(s):  
Weinberg Angle

scholarly journals THE CURRENT PROBLEMS OF THE MINIMAL SO(10) GUT AND THEIR SOLUTIONS

2007 ◽  
Vol 16 (05) ◽  
pp. 1489-1503 ◽  
Author(s):  
TAKESHI FUKUYAMA ◽  
TATSURU KIKUCHI ◽  
NOBUCHIKA OKADA
Keyword(s):  
Predictive Power ◽  
Blow Up ◽  
Gauge Coupling ◽  
Neutrinoless Double Beta Decay ◽  
Double Beta Decay ◽  
Grand Unification ◽  
Warped Extra Dimension ◽  
Gut Scale ◽  
Gauge Couplings ◽  
Yukawa Sector

This talk consists of two parts. In part I we review how the minimal renormalizable supersymmetric SO (10) model, an SO (10) framework with only one 10 and one [Formula: see text] Higgs multiplets in the Yukawa sector, is attractive because of its highly predictive power. Indeed it not only gives a consistent predictions on neutrino oscillation data but also gives reasonable and interesting values for leptogenesis, LFV, muon g - 2, neutrinoless double beta decay etc. However, this model suffers from problems related to running of gauge couplings. The gauge coupling unification may be spoiled due to the presence of Higgs multiplets much lighter than the grand unification (GUT) scale. In addition, the gauge couplings blow up around the GUT scale because of the presence of Higgs multiplets of large representations. In part II we consider the minimal SO (10) model in the warped extra dimension and show a possibility to solve these problems.

scholarly journals Effect on Jarlskog Determinant Above the GUT Scale Within Four Flavor Neutrino Framework

2021 ◽  
Author(s):  
Vivek Kumar Nautiyal ◽  
Bipin Singh Koranga
Keyword(s):  
Neutrino Mass ◽  
Scale Effects ◽  
Mass Matrix ◽  
Gravitational Interaction ◽  
Planck Scale ◽  
Neutrino Mixing ◽  
Gut Scale ◽  
Jarlskog Determinant ◽  
Planck Scale Effects ◽  
Four Flavor

AbstractWe study the Planck scale effects on Jarlskog determiant in the four flavor framework. On electroweak symmetry breaking, quantum gravitational effects lead to an effective SU(2) × U(1) invariant dimension-5 Lagrangian including neutrino and Higgs forces, which perturbed the neutrino mass term and produce an extra terms in the neutrino mass matrix. We consider that gravitational interaction is independent from flavor and compute the Jarlskog determiant due to Planck scale effects. In the case of leptonic sector, the strentgh of CP violation is measured by Jarlskog determiant. We applied our approach to study Jarlskog determinant in the four flavor neutrino mixing above the GUT scale.

scholarly journals Proton decay in supersymmetric SU(4)c × SU(2)L × SU(2)R

2020 ◽  
Vol 2020 (10) ◽  
Author(s):  
George Lazarides ◽  
Mansoor Ur Rehman ◽  
Qaisar Shafi
Keyword(s):  
Essential Role ◽  
Baryon Number ◽  
Proton Decay ◽  
Unified Theory ◽  
Grand Unified Theory ◽  
Decay Modes ◽  
Proposed Model ◽  
Hybrid Inflation ◽  
Gut Scale ◽  
Chiral Superfields

Abstract We discuss proton decay in a recently proposed model of supersymmetric hybrid inflation based on the gauge symmetry SU(4)c× SU(2)L× SU(2)R. A U(1) R symmetry plays an essential role in realizing inflation as well as in eliminating some undesirable baryon number violating operators. Proton decay is primarily mediated by a variety of color triplets from chiral superfields, and it lies in the observable range for a range of intermediate scale masses for the triplets. The decay modes include p → e+(μ+) + π0, $$ p\to \overline{\nu}+{\pi}^{+} $$ p → ν ¯ + π + , p → K0 + e+(μ+), and $$ p\to {K}^{+}+\overline{\nu} $$ p → K + + ν ¯ , with a lifetime estimate of order 1034–1036 yrs and accessible at Hyper-Kamiokande and future upgrades. The unification at the Grand Unified Theory (GUT) scale MGUT (∼ 1016 GeV) of the Minimal Supersymmetric Standard Model (MSSM) gauge couplings is briefly discussed.

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