Masses of W and Z bosons without spontaneous symmetry breaking

2001 ◽  
Vol 16 (supp01a) ◽  
pp. 351-353
Author(s):  
Bing An Li
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Axial Vector ◽  
Z Bosons ◽  
Dynamical Symmetry ◽  
Fermion Mass ◽  
Electroweak Theory ◽  
Dynamical Symmetry Breaking ◽  
Vector Component ◽  
The Masses

A new dynamical symmetry breaking of SU(2)L × U(1) caused by the combination of the axial-vector component and the fermion mass is found in electroweak theory. The masses of the W and the Z bosons are obtained to be [Formula: see text] and [Formula: see text]. The Fermi constant is determined to be [Formula: see text].

scholarly journals THEORY OF ELECTROWEAK INTERACTIONS WITHOUT SPONTANEOUS SYMMETRY BREAKING

2001 ◽  
Vol 16 (25) ◽  
pp. 4171-4188 ◽  
Author(s):  
BING AN LI
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Z Boson ◽  
W Boson ◽  
Axial Vector ◽  
Fermion Mass ◽  
Electroweak Theory ◽  
Intermediate Boson ◽  
Generating Functional ◽  
Fermion Masses

An electroweak theory without spontaneous symmetry breaking is studied in this paper. A new symmetry breaking of SU (2)L × U (1), axial-vector symmetry breaking, caused by the combination of the axial-vector component of the intermediate boson and the fermion mass is found in electroweak theory. The mass of the W boson is resulted in the combination of the axial-vector symmetry breaking and the explicit symmetry breaking by the fermion masses. The Z boson gains mass from the axial-vector symmetry breaking only. [Formula: see text], [Formula: see text], and [Formula: see text] are obtained. They are in excellent agreement with data. The SU (2)L × U (1) invariant generating functional of the Green functions is constructed and the theory is proved to be renormalizable.

WARD–TAKAHASHI IDENTITIES AND THE SPIN-0 COMPONENTS OF W AND Z FIELDS

2004 ◽  
Vol 19 (28) ◽  
pp. 4813-4823
Author(s):  
BING AN LI
Keyword(s):  
Symmetry Breaking ◽  
Spontaneous Symmetry Breaking ◽  
Axial Vector ◽  
The Masses

The Ward–Takahashi (WT) identities of the axial-vector currents and the charged vector currents of fermions are changed after spontaneous symmetry breaking. The spin-0 components of Z and W fields are revealed from the changed WT identities. The masses of these spin-0 components are at 1014 GeV. They are ghosts.

scholarly journals Dynamical symmetry breaking and fermion mass hierarchy in the scale-invariant 3-3-1 model

2020 ◽  
Vol 102 (1) ◽  
Author(s):  
Alex G. Dias ◽  
Julio Leite ◽  
B. L. Sánchez-Vega ◽  
William C. Vieira
Keyword(s):  
Symmetry Breaking ◽  
Dynamical Symmetry ◽  
Fermion Mass ◽  
Mass Hierarchy ◽  
Scale Invariant ◽  
Dynamical Symmetry Breaking

scholarly journals Electroweak SU(2)L × U(1)Y model with strong spontaneously fermion-mass-generating gauge dynamics

2021 ◽  
Vol 2021 (3) ◽  
Author(s):  
Petr Beneš ◽  
Jiří Hošek ◽  
Adam Smetana
Keyword(s):  
Chiral Symmetry Breaking ◽  
Axial Vector ◽  
Higgs Sector ◽  
Dyson Equation ◽  
Mass Splitting ◽  
Fermion Mass ◽  
Goldstone Bosons ◽  
The Standard Model ◽  
Exploratory Stage ◽  
The Masses

Abstract Higgs sector of the Standard model (SM) is replaced by quantum flavor dynamics (QFD), the gauged flavor SU(3)f symmetry with scale Λ. Anomaly freedom requires addition of three νR. The approximate QFD Schwinger-Dyson equation for the Euclidean infrared fermion self-energies Σf(p2) has the spontaneous-chiral-symmetry-breaking solutions ideal for seesaw: (1) Σf(p2) = $$ {M}_{fR}^2/p $$ M fR 2 / p where three Majorana masses MfR of νfR are of order Λ. (2) Σf(p2) = $$ {m}_f^2/p $$ m f 2 / p where three Dirac masses mf = m(0)1 + m(3)λ3 + m(8)λ8 of SM fermions are exponentially suppressed w.r.t. Λ, and degenerate for all SM fermions in f. (1) MfR break SU(3)f symmetry completely; m(3), m(8) superimpose the tiny breaking to U(1) × U(1). All flavor gluons thus acquire self-consistently the masses ∼ Λ. (2) All mf break the electroweak SU(2)L × U(1)Y to U(1)em. Symmetry partners of the composite Nambu-Goldstone bosons are the genuine Higgs particles: (1) three νR-composed Higgses χi with masses ∼ Λ. (2) Two new SM-fermion-composed Higgses h3, h8 with masses ∼ m(3), m(8), respectively. (3) The SM-like SM-fermion-composed Higgs h with mass ∼ m(0), the effective Fermi scale. Σf(p2)-dependent vertices in the electroweak Ward-Takahashi identities imply: the axial-vector ones give rise to the W and Z masses at Fermi scale. The polar-vector ones give rise to the fermion mass splitting in f. At the present exploratory stage the splitting comes out unrealistic.

scholarly journals DYNAMICAL SYMMETRY BREAKING IN A MINIMAL 3-3-1 MODEL

2012 ◽  
Vol 27 (26) ◽  
pp. 1250156 ◽  
Author(s):  
A. DOFF ◽  
A. A. NATALE
Keyword(s):  
Gauge Symmetry ◽  
Symmetry Breaking ◽  
Dynamical Symmetry ◽  
Mass Scale ◽  
Coupling Constant ◽  
Walking Behavior ◽  
Dynamical Symmetry Breaking ◽  
Dynamical Generation ◽  
Breaking Scale

The gauge symmetry breaking in some versions of 3-3-1 models can be implemented dynamically because at the scale of a few TeVs the U(1)X coupling constant becomes strong. In this work, we consider the dynamical symmetry breaking in a minimal SU(3) TC × SU(3)L × U(1)X model, where we propose a new scheme to cancel the chiral anomalies, including two-index symmetric (6) technifermions, which incorporates naturally the walking behavior in the Technicolor (TC) sector. The composite scalar content of the model is minimal and all the symmetry breaking is implemented by a multiplet of technifermions. The choice of TC representations not only provides the anomaly cancelation with a walking behavior, but is crucial to promote the model's full dynamical symmetry breaking. We consider the dynamical generation of technigluon masses and, depending on the 3-3-1 symmetry breaking scale (μ331), we verify that the technigluon mass is strongly linked to the Z′ mass scale, for instance, if μ331 = 1 TeV , we have MZ′ > 1 TeV only if M TG < 350 GeV .

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