scholarly journals Flavor symmetries in an SU(5) model of grand unification

2022 ◽  
Vol 2022 (1) ◽  
Author(s):  
Malte Lindestam ◽  
Tommy Ohlsson ◽  
Marcus Pernow
Keyword(s):  
Predictive Models ◽  
Grand Unification ◽  
Flavor Symmetry ◽  
Unified Theory ◽  
Grand Unified Theory ◽  
Flavor Symmetries ◽  
Free Parameters ◽  
Yukawa Sector

Abstract We investigate the options for imposing flavor symmetries on a minimal renormalizable non-supersymmetric SU(5) grand unified theory, without introducing additional flavor-related fields. Such symmetries reduce the number of free parameters in the model and therefore lead to more predictive models. We consider the Yukawa sector of the Lagrangian, and search for all possible flavor symmetries. As a result, we find 25 distinct realistic flavor symmetry cases, with ℤ2, ℤ3, ℤ4, and U(1) symmetries, and no non-Abelian cases.

scholarly journals Asymmetric tri-bi-maximal mixing and residual symmetries

2020 ◽  
Vol 35 (35) ◽  
pp. 2050292
Author(s):  
Salvador Centelles Chuliá ◽  
Andreas Trautner
Keyword(s):  
Mass Matrix ◽  
Neutrinoless Double Beta Decay ◽  
Double Beta Decay ◽  
Flavor Symmetry ◽  
Unified Theory ◽  
Grand Unified Theory ◽  
Neutrino Mixing ◽  
Mixing Angles ◽  
Flavor Symmetries ◽  
Flavor Mixing

Asymmetric tri-bi-maximal mixing is a recently proposed, grand unified theory (GUT) based, flavor mixing scheme. In it, the charged lepton mixing is fixed by the GUT connection to down-type quarks and a [Formula: see text] flavor symmetry, while neutrino mixing is assumed to be tri-bi-maximal (TBM) with one additional free phase. Here we show that this additional free phase can be fixed by the residual flavor and CP symmetries of the effective neutrino mass matrix. We discuss how those residual symmetries can be unified with [Formula: see text] and identify the smallest possible unified flavor symmetries, namely [Formula: see text] and [Formula: see text]. Sharp predictions are obtained for lepton mixing angles, CP violating phases and neutrinoless double beta decay.

scholarly journals MOST ATTRACTIVE CHANNEL FOR SELF-BREAKING OF GRAND UNIFICATION GROUP SYMMETRY

2011 ◽  
Vol 26 (18) ◽  
pp. 1353-1361
Author(s):  
NOBUHIRO UEKUSA
Keyword(s):  
Bound States ◽  
Zero Mode ◽  
Group Symmetry ◽  
Grand Unification ◽  
Unified Theory ◽  
Grand Unified Theory ◽  
Five Dimensions ◽  
The Standard Model ◽  
Free Set ◽  
Standard Model Gauge Group

Most attractive channel is studied for SU(5) grand unified theory in five dimensions where 5* and 10 fermions and a 24 gauge boson propagate in the bulk. If there are bulk fermions with zero mode for the chirality opposite to quark and lepton multiplets, they can contribute to forming 5, 24, 50 and 75 scalar bound states. We find that the inclusion of a simple anomaly-free set for zero mode yields scalar bound states whose binding strengths are the largest for 24 and the second largest for 5. This corresponds to the breaking pattern of the SU(5) to color and electromagnetism via the standard model gauge group.

scholarly journals NEUTRINO CP VIOLATING PARAMETERS FROM NONTRIVIAL QUARK–LEPTON CORRELATION: A S3 × GUT MODEL

2008 ◽  
Vol 23 (27n28) ◽  
pp. 4435-4448 ◽  
Author(s):  
MARCO PICARIELLO
Keyword(s):  
Correlation Matrix ◽  
Flavor Symmetry ◽  
Unified Theory ◽  
Grand Unified Theory ◽  
Next Generation ◽  
Lepton Sector ◽  
Mixing Angles ◽  
Model Based

We investigate the prediction on the lepton phases in theories with a nontrivial correlation between quark (CKM) and lepton (PMNS) mixing matrices. We show that the actual evidence, under the only assumption that the correlation matrix VM product of CKM and PMNS has a zero in the entry (1, 3), gives us a prediction for the three CP-violating invariants J, S1 and S2. A better determination of the lepton mixing angles will give stronger prediction for the CP-violating invariants in the lepton sector. These will be tested in the next generation experiments. To clarify how our prediction works, we show how a model based on a Grand Unified Theory and the permutation flavor symmetry S3 predicts [Formula: see text].

scholarly journals (5d RG-flow) trees in the tropical rain forest

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Marieke van Beest ◽  
Antoine Bourget ◽  
Julius Eckhard ◽  
Sakura Schäfer-Nameki
Keyword(s):  
Large Class ◽  
Rain Forest ◽  
Tropical Rain Forest ◽  
Field Theories ◽  
Flavor Symmetry ◽  
Superconformal Field Theories ◽  
Hasse Diagrams ◽  
Flavor Symmetries ◽  
Rank 2 ◽  
Mass Deformation

Abstract 5d superconformal field theories (SCFTs) can be obtained from 6d SCFTs by circle compactification and mass deformation. Successive decoupling of hypermultiplet matter and RG-flow generates a decoupling tree of descendant 5d SCFTs. In this paper we determine the magnetic quivers and Hasse diagrams, that encode the Higgs branches of 5d SCFTs, for entire decoupling trees. Central to this undertaking is the approach in [1], which, starting from the generalized toric polygons (GTPs) dual to 5-brane webs/tropical curves, provides a systematic and succinct derivation of magnetic quivers and their Hasse diagrams. The decoupling in the GTP description is straightforward, and generalizes the standard flop transitions of curves in toric polygons. We apply this approach to a large class of 5d KK-theories, and compute the Higgs branches for their descendants. In particular we determine the decoupling tree for all rank 2 5d SCFTs. For each tree, we also identify the flavor symmetry algebras from the magnetic quivers, including non-simply-laced flavor symmetries.

Deep in the Bones Lie Memories and Hopes: A Grand Unified Theory

2021 ◽  
Vol 51 (1) ◽  
pp. 22-30
Author(s):  
Daniel P. McCarthy
Keyword(s):  
Unified Theory ◽  
Grand Unified Theory ◽  
Hagia Sophia ◽  
The Sacrifice

Christ’s bones are missing at the Holy Sepulchre; St Peter’s bones remain in his basilica; Hagia Sophia was not built on bones. The absence, presence, or lack of bones effects different emphases on memory (anamnesis) and fulfillment (eschatology). In Jerusalem we witness our future glory (eschatology) already revealed in our history (anamnesis); in Rome we recall (anamnesis) the sacrifice of martyrs whose bones remain until the general resurrection (eschatology), even while we venerate the saints in light; at Hagia Sophia liturgy itself, rather than bones, provides the context for remembering the whole Christ in the power of the Spirit. Celebrating liturgy over the bones of martyrs in Rome, while venerating their sacrifice, may have accentuated the sacrificial character of the eucharistic liturgy in the Christian west, whereas in the Christian east the eschatological glory already revealed in our history and in liturgy may have shaped the eschatological character of liturgy.

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 OBSERVABLE LEPTON FLAVOR SYMMETRY AT LHC

2011 ◽  
Vol 26 (06) ◽  
pp. 377-385 ◽  
Author(s):  
ERNEST MA
Keyword(s):  
Finite Group ◽  
Large Hadron Collider ◽  
Gauge Boson ◽  
Charged Lepton ◽  
Hadron Collider ◽  
Flavor Symmetry ◽  
Final States ◽  
Lepton Flavor ◽  
Yukawa Sector

A model of lepton flavor symmetry is discussed, using the non-Abelian finite group T7 and the gauging of B-L, which has a residual Z3 symmetry in the charged-lepton Yukawa sector, allowing it to be observable at the Large Hadron Collider (LHC) from the decay of the new Z' gauge boson of this model to a pair of scalar bosons which have the unusual highly distinguishable final states τ- τ- μ+ e+.

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