scholarly journals PROTON DECAY IN TERAVOLT UNIFICATION

2007 ◽  
Vol 22 (05) ◽  
pp. 347-349 ◽  
Author(s):  
P. H. FRAMPTON
Keyword(s):  
Symmetry Breaking ◽  
Gauge Theories ◽  
Model Building ◽  
Conformal Symmetry ◽  
Baryon Number ◽  
Discrete Symmetry ◽  
Proton Decay ◽  
Scalar Sector

Model building based on Abelian quiver gauge theories gives models which resemble trinification, originally proposed with yottavolt unification. However, unification occurs in the teravolt range so proton decay must be completely excluded in the scalar sector. It is straightforward to accomplish this by a discrete symmetry which is a generalized baryon number B. Unlike in trinification, this is possible because quarks and leptons acquire masses from relevant operators which appear in four-dimensional conformal symmetry breaking.

scholarly journals SO(10)À LA PATI–SALAM

2005 ◽  
Vol 20 (04) ◽  
pp. 865-893 ◽  
Author(s):  
CHARANJIT S. AULAKH ◽  
AARTI GIRDHAR
Keyword(s):  
Field Theory ◽  
Neutrino Mass ◽  
Model Building ◽  
Baryon Number ◽  
Discrete Symmetry ◽  
Explicit Method ◽  
Mass Matrices ◽  
Baryon Number Violation ◽  
Explicit Analysis

To facilitate explicit analysis of SO (10) GUT's we present rules for rewriting SO (10) tensor and spinor invariants in terms of invariants of its "Pati–Salam" maximal subgroup ( SU (4)× SU (2) L × SU (2) R ) supplemented by the discrete symmetry called D parity. Explicit decompositions of quadratic and cubic invariants relevant to GUT model building are presented and the role of D parity in organizing the terms explained. Our rules provide a complete and explicit method for obtaining the "Clebsch–Gordon" coefficients for SO (10)↔ SU (4)× SU (2) L × SU (2) R in a notation appropriate for field theory models. We illustrate the usefulness our methods by calculating previously unavailable mass matrices and couplings of the SU (2) L doublets and SU (3)c triplets in the minimal SUSY SO (10) GUT which are essential to specify the phenomenology of this model. We also present the bare effective potential for baryon number violation in this model and show that it receives novel contributions from exchange of triplet Higgsinos contained the in "neutrino mass" Higgs submultiplets [Formula: see text]. This further tightens the emerging connection between neutrino mass and proton decay.

scholarly journals Strong dynamics, composite Higgs and the conformal window

2016 ◽  
Vol 31 (22) ◽  
pp. 1643003 ◽  
Author(s):  
Daniel Nogradi ◽  
Agostino Patella
Keyword(s):  
Mass Spectrum ◽  
Symmetry Breaking ◽  
Recent Progress ◽  
Gauge Theories ◽  
Model Building ◽  
Dynamical Symmetry ◽  
Higgs Particle ◽  
Abelian Gauge ◽  
Composite Higgs

We review recent progress in the lattice investigations of near-conformal non-Abelian gauge theories relevant for dynamical symmetry breaking and model building of composite Higgs models. The emphasis is placed on the mass spectrum and the running renormalized coupling. The role of a light composite scalar isosinglet particle as a composite Higgs particle is highlighted.

scholarly journals Light-cone sum rules for proton decay

2021 ◽  
Vol 2021 (5) ◽  
Author(s):  
Ulrich Haisch ◽  
Amando Hala
Keyword(s):  
Lattice Qcd ◽  
Light Cone ◽  
Sum Rules ◽  
State Of The Art ◽  
Form Factors ◽  
Baryon Number ◽  
Proton Decay ◽  
Matrix Elements ◽  
Decay Channels ◽  
Systematic Uncertainties

Abstract We estimate the form factors that parametrise the hadronic matrix elements of proton-to-pion transitions with the help of light-cone sum rules. These form factors are relevant for semi-leptonic proton decay channels induced by baryon-number violating dimension-six operators, as typically studied in the context of grand unified theories. We calculate the form factors in a kinematical regime where the momentum transfer from the proton to the pion is space-like and extrapolate our final results to the regime that is relevant for proton decay. In this way, we obtain estimates for the form factors that show agreement with the state-of-the-art calculations in lattice QCD, if systematic uncertainties are taken into account. Our work is a first step towards calculating more involved proton decay channels where lattice QCD results are not available at present.

scholarly journals Structure of flavor changing Goldstone boson interactions

2021 ◽  
Vol 2021 (4) ◽  
Author(s):  
Jin Sun ◽  
Yu Cheng ◽  
Xiao-Gang He
Keyword(s):  
Symmetry Breaking ◽  
Model Building ◽  
Neutral Current ◽  
Goldstone Boson ◽  
New Physics ◽  
Majorana Neutrino ◽  
Neutrino Masses ◽  
Type I ◽  
Flavor Changing ◽  
Flavor Changing Neutral Current

Abstract General flavor changing Goldstone boson (GB) interactions with fermions from a spontaneous global U(1)G symmetry breaking are discussed. This GB may be the Axion, solving the strong QCD CP problem, if there is a QCD anomaly for the assignments of quarks U(1)G charge. Or it may be the Majoron, producing seesaw Majorana neutrino masses by lepton number violation, if the symmetry breaking scale is much higher than the electroweak scale. It may also, in principle, play the roles of Axion and Majoron simultaneously as far as providing solution for the strong CP problem and generating a small Majorana neutrino masses are concerned. Great attentions have been focused on flavor conserving GB interactions. Recently flavor changing Axion and Majoron models have been studied in the hope to find new physics from rare decays in the intensity frontier. In this work, we will provide a systematic model building aspect study for flavor changing neutral current (FCNC) GB interactions in the fermion sectors, or separately in the quark, charged lepton and neutrino sectors and will identify in detail the sources of FCNC interactions in a class of beyond standard model with a spontaneous global U(1)G symmetry breaking. We also provide a general proof of the equivalence of using physical GB components and GB broken generators for calculating GB couplings to two gluons and two photons, and discuss some issues related to spontaneous CP violation models. Besides, we will also provide some details for obtaining FCNC GB interactions in several popular models, such as the Type-I, -II, -III seesaw and Left-Right symmetric models, and point out some special features in these models.

scholarly journals Symmetry-breaking effects of instantons in parton gauge theories

2021 ◽  
Vol 104 (3) ◽  
Author(s):  
G. Shankar ◽  
Joseph Maciejko
Keyword(s):  
Symmetry Breaking ◽  
Gauge Theories

scholarly journals Symmetry breaking at high temperatures in large N gauge theories

2021 ◽  
Vol 2021 (8) ◽  
Author(s):  
Soumyadeep Chaudhuri ◽  
Eliezer Rabinovici
Keyword(s):  
Fixed Point ◽  
Phase Transitions ◽  
Symmetry Breaking ◽  
High Temperatures ◽  
Gauge Theories ◽  
Scalar Fields ◽  
Temperature Limit ◽  
Spontaneous Breaking ◽  
Critical Temperatures ◽  
Weakly Coupled

Abstract Considering marginally relevant and relevant deformations of the weakly coupled (3 + 1)-dimensional large N conformal gauge theories introduced in [1], we study the patterns of phase transitions in these systems that lead to a symmetry-broken phase in the high temperature limit. These deformations involve only the scalar fields in the models. The marginally relevant deformations are obtained by varying certain double trace quartic couplings between the scalar fields. The relevant deformations, on the other hand, are obtained by adding masses to the scalar fields while keeping all the couplings frozen at their fixed point values. At the N → ∞ limit, the RG flows triggered by these deformations approach the aforementioned weakly coupled CFTs in the UV regime. These UV fixed points lie on a conformal manifold with the shape of a circle in the space of couplings. As shown in [1], in certain parameter regimes a subset of points on this manifold exhibits thermal order characterized by the spontaneous breaking of a global ℤ2 or U(1) symmetry and Higgsing of a subset of gauge bosons at all nonzero temperatures. We show that the RG flows triggered by the marginally relevant deformations lead to a weakly coupled IR fixed point which lacks the thermal order. Thus, the systems defined by these RG flows undergo a transition from a disordered phase at low temperatures to an ordered phase at high temperatures. This provides examples of both inverse symmetry breaking and symmetry nonrestoration. For the relevant deformations, we demonstrate that a variety of phase transitions are possible depending on the signs and magnitudes of the squares of the masses added to the scalar fields. Using thermal perturbation theory, we derive the approximate values of the critical temperatures for all these phase transitions. All the results are obtained at the N → ∞ limit. Most of them are found in a reliable weak coupling regime and for others we present qualitative arguments.

scholarly journals Erratum to: Spontaneous symmetry breaking in the S 3-symmetric scalar sector

2016 ◽  
Vol 2016 (8) ◽  
Author(s):  
D. Emmanuel-Costa ◽  
O. M. Ogreid ◽  
P. Osland ◽  
M. N. Rebelo
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Scalar Sector
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