scholarly journals Endowing the Standard Model with a new r-symmetry

2014 ◽  
Vol 29 (21) ◽  
pp. 1444008
Author(s):  
Ngee-Pong Chang
Keyword(s):  
Standard Model ◽  
Yukawa Coupling ◽  
Constituent Quark ◽  
Higgs Field ◽  
Mass Matrices ◽  
The Standard Model ◽  
Near Degeneracy ◽  
Higgs Fields ◽  
Simple Interaction ◽  
R Symmetry

In the Standard Model, there is the single Higgs field, ϕ, which gives rise to constituent quark and lepton masses. The Yukawa coupling is a highly complex set of 3 × 3 matrices, resulting in many textures of quark and lepton masses. In this talk, we propose to transfer the complexity of the Yukawa coupling matrices to a family of Higgs fields, so that the Yukawa coupling itself becomes a simple interaction. In the context of an Enriched Standard Model, we introduce a new r-symmetry in the extended SU(2)L × U(1)Y × U(1)R model and show how a particularly simple scenario results in a near degeneracy of masses in the 126 GeV region, with a hierarchy of heavier masses suggested by the quark and lepton texture mass matrices.

A SUPERSTRING MODEL WITH R SYMMETRIES AND LOW B−L BREAKING

1992 ◽  
Vol 07 (21) ◽  
pp. 5085-5103
Author(s):  
B. ANANTHANARAYAN
Keyword(s):  
Standard Model ◽  
Z Boson ◽  
Proton Decay ◽  
Supersymmetric Particle ◽  
Superstring Theory ◽  
Mass Generation ◽  
Interesting Pattern ◽  
Mass Matrices ◽  
The Standard Model ◽  
R Symmetry

The phenomenology of a three-generation superstring model arising from the compactification of the ten-dimensional heterotic superstring theory on the Tian-Yau manifold with a discrete Z2×Z3 symmetry is discussed. The Z2 is used to define a matter parity and the Z3 generates an R symmetry. Presence of the discrete R symmetry enforces the existence of exactly flat directions in the superpotential that motivate us to break the SU(3) 3 to SU(3) × SU(2) L× SU(2) R× U(1) B−L at a scale M X closely associated with the compactification scale MC~1018 GeV , since the R symmetry and B−L breaking need to arise from unknown string physics and for the successful suppression of proton decay rate due to certain dimension-five operators. When the R symmetry is broken at a scale MR~1014 GeV , the matter parity is broken spontaneously as well, guiding us to the scale of the breaking to the standard model, MB−L~103 GeV , making the additional Z boson accessible at accelerator energies. When the spectrum of particles is derived from the mass matrices, the model emerges as the first model with known particles having nonstandard Z2 matter-parity assignments. The transformation properties of the standard model fermions under the discrete symmetries of the theory give rise to an extremely interesting pattern for their mass generation. The model has acceptable properties vis à vis proton decay lifetime considerations and renormalization group considerations. This is a superstring model where the lightest supersymmetric particle, favored to be the photino, decays with a cosmologically interesting lifetime.

Yang–Mills gauge theory and the Higgs boson family

2016 ◽  
Vol 31 (05) ◽  
pp. 1630006
Author(s):  
Ngee-Pong Chang
Keyword(s):  
Yukawa Coupling ◽  
Particle Physics ◽  
Higgs Field ◽  
Rock Foundation ◽  
Coupling Constant ◽  
Yang Mills ◽  
Symmetry Principles ◽  
The Standard Model ◽  
Background Events ◽  
Higgs Fields

The gauge symmetry principles of the Yang–Mills field of 1954 provide the solid rock foundation for the Standard Model of particle physics. To give masses to the quarks and leptons, however, SM calls on the solitary Higgs field using a set of mysterious complex Yukawa coupling matrices. We enrich the SM by reducing the Yukawa coupling matrices to a single Yukawa coupling constant, and endowing it with a family of Higgs fields that are degenerate in mass. The recent experimental discovery of the Higgs resonance at 125.09 ± 0.21 GeV does not preclude this possibility. Instead, it presents an opportunity to explore the interference effects in background events at the LHC. We present a study based on the maximally symmetric Higgs potential in a leading hierarchy scenario.

Extension of Standard Model in multi-spinor field formalism — Visible and dark sectors

2016 ◽  
Vol 31 (18) ◽  
pp. 1630027
Author(s):  
Ikuo S. Sogami
Keyword(s):  
Dark Matter ◽  
Standard Model ◽  
Dark Sector ◽  
Quadratic Interaction ◽  
Inflationary Phase ◽  
The Standard Model ◽  
Visible Sector ◽  
Field Formalism ◽  
Main Component ◽  
Higgs Fields

With multi-spinor fields which behave as triple-tensor products of the Dirac spinors, the Standard Model is extended so as to embrace three families of ordinary quarks and leptons in the visible sector and an additional family of exotic quarks and leptons in the dark sector of our Universe. Apart from the gauge and Higgs fields of the Standard Model symmetry G, new gauge and Higgs fields of a symmetry isomorphic to G are postulated to exist in the dark sector. It is the bi-quadratic interaction between visible and dark Higgs fields that opens a main portal to the dark sector. Breakdowns of the visible and dark electroweak symmetries result in the Higgs boson with mass 125 GeV and a new boson which can be related to the diphoton excess around 750 GeV. Subsequent to a common inflationary phase and a reheating period, the visible and dark sectors follow weakly-interacting paths of thermal histories. We propose scenarios for dark matter in which no dark nuclear reaction takes place. A candidate for the main component of the dark matter is a stable dark hadron with spin 3/2, and the upper limit of its mass is estimated to be 15.1 GeV/c2.

scholarly journals A CALCULATION OF HIGGS MASS IN THE STANDARD MODEL

2000 ◽  
Vol 15 (26) ◽  
pp. 1605-1610 ◽  
Author(s):  
J. PASUPATHY
Keyword(s):  
Standard Model ◽  
Yukawa Coupling ◽  
Higgs Mass ◽  
Renormalization Scale ◽  
The Standard Model ◽  
Gauge Couplings ◽  
Top Mass

The assumption that the ratio of the Higgs self-coupling to the square of its Yukawa coupling to the top is (almost) independent of the renormalization scale fixes the Higgs mass within narrow limits at m H =160 GeV using only the values of gauge couplings and top mass.

scholarly journals The framed Standard Model (II) — A first test against experiment

2015 ◽  
Vol 30 (30) ◽  
pp. 1530060
Author(s):  
Hong-Mo Chan ◽  
Sheung Tsun Tsou
Keyword(s):  
Standard Model ◽  
Renormalization Group Equation ◽  
Fermion Mass ◽  
Group Equation ◽  
Unknown Parameters ◽  
Mass Matrices ◽  
The Standard Model ◽  
Experimental Values ◽  
The Masses ◽  
Independent Parameters

Apart from the qualitative features described in Paper I (Ref. 1), the renormalization group equation derived for the rotation of the fermion mass matrices are amenable to quantitative study. The equation depends on a coupling and a fudge factor and, on integration, on 3 integration constants. Its application to data analysis, however, requires the input from experiment of the heaviest generation masses [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text] all of which are known, except for [Formula: see text]. Together then with the theta-angle in the QCD action, there are in all 7 real unknown parameters. Determining these 7 parameters by fitting to the experimental values of the masses [Formula: see text], [Formula: see text], [Formula: see text], the CKM elements [Formula: see text], [Formula: see text], and the neutrino oscillation angle [Formula: see text], one can then calculate and compare with experiment the following 12 other quantities [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], [Formula: see text], and the results all agree reasonably well with data, often to within the stringent experimental error now achieved. Counting the predictions not yet measured by experiment, this means that 17 independent parameters of the standard model are now replaced by 7 in the FSM.

scholarly journals The gravitational condensate of the higgs field

2019 ◽  
Author(s):  
Vitaly Kuyukov
Keyword(s):  
Higgs Boson ◽  
Standard Model ◽  
Higgs Field ◽  
Higgs Bosons ◽  
Grand Unification ◽  
Gravitational Potential Energy ◽  
Mass Hierarchy ◽  
The Standard Model ◽  
Cell Condensation ◽  
The Difference

This paper analyses a method of producing the Higgs mass via the gravitational field. This approach has become very popular in recent years, as the consideration of other forces do not help in solving the problem of mass hierarchy. Not understand the difference between scales of the standard model and Grand unification theory. Here, we present a heuristic mechanism which eliminated this difference. The idea is that the density of the condensate of the Higgs is increased so that it is necessary to take into account self gravitational potential energy of the Higgs boson. The result is as follows. The mass of the Higgs is directly proportional to the cell density of the Higgs bosons. Or else the mass of the Higgs is inversely proportional to the cell volume, which is the Higgs boson in the condensate. The most interesting dimension of this cell condensation is equal to the scale of Grand unification. This formula naturally combines the scale of the standard model and Grand unification through gravitational condensation.

scholarly journals Testing the mechanism of lepton compositeness

2021 ◽  
Vol 10 (3) ◽  
Author(s):  
Vincenzo Afferrante ◽  
Axel Maas ◽  
René Sondenheimer ◽  
Pascal Törek
Keyword(s):  
Gauge Theory ◽  
Standard Model ◽  
Gauge Invariance ◽  
Bound States ◽  
Lattice Gauge Theory ◽  
Higgs Field ◽  
Left Handed ◽  
Lattice Gauge ◽  
The Standard Model ◽  
Weyl Fermions

Strict gauge invariance requires that physical left-handed leptons are actually bound states of the elementary left-handed lepton doublet and the Higgs field within the standard model. That they nonetheless behave almost like pure elementary particles is explained by the Fr"ohlich-Morchio-Strocchi mechanism. Using lattice gauge theory, we test and confirm this mechanism for fermions. Though, due to the current inaccessibility of non-Abelian gauged Weyl fermions on the lattice, a model which contains vectorial leptons but which obeys all other relevant symmetries has been simulated.

Implications of general lepton mass matrices in the standard model on mee

2016 ◽  
Vol 94 (11) ◽  
Author(s):  
Samandeep Sharma ◽  
Gulsheen Ahuja ◽  
Manmohan Gupta
Keyword(s):  
Standard Model ◽  
Mass Matrices ◽  
The Standard Model

scholarly journals A bottom-up approach to fermion mass hierarchy: a case with vector-like fermions

2020 ◽  
Vol 2020 (4) ◽  
Author(s):  
Yoshiharu Kawamura
Keyword(s):  
Standard Model ◽  
Yukawa Coupling ◽  
High Energy ◽  
Fine Tuning ◽  
Fermion Mass ◽  
Extended Model ◽  
Mass Hierarchy ◽  
Bottom Up ◽  
Existence Proofs ◽  
The Standard Model

Abstract We propose a bottom-up approach in which a structure of high-energy physics is explored by accumulating existence proofs and/or no-go theorems in the standard model or its extension. As an illustration, we study fermion mass hierarchies based on an extension of the standard model with vector-like fermions. It is shown that the magnitude of elements of Yukawa coupling matrices can become $O(1)$ and a Yukawa coupling unification can be realized in a theory beyond the extended model, if vector-like fermions mix with three families. In this case, small Yukawa couplings in the standard model can be highly sensitive to a small variation of matrix elements, and it seems that the mass hierarchy occurs as a result of fine tuning.

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