FLAVOR GAUGE THEORY, AND MASSES OF TOP AND NEUTRINO

1994 ◽  
Vol 09 (04) ◽  
pp. 289-297 ◽  
Author(s):  
G. CVETIČ ◽  
C.S. KIM
Keyword(s):  
Renormalization Group ◽  
Gauge Theory ◽  
Standard Model ◽  
Boundary Conditions ◽  
Yukawa Couplings ◽  
Tau Neutrino ◽  
Renormalization Group Equations ◽  
The Standard Model

We assume that the standard model (SM) breaks down around some energy Λ, and is replaced by a new (Higgsless) flavor gauge theory (FGT). We investigate this possibility by studying the renormalization group equations for the Yukawa couplings of SM with two Higgs doublets for various mt and υU/υD. With appropriate flavor democratic boundary conditions at Λ FGT , we derive the bounds on masses of top and tau-neutrino, which are compatible with experimental bounds.

scholarly journals Renormalization group equations of Higgs-R2 inflation

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Yohei Ema ◽  
Kyohei Mukaida ◽  
Jorinde van de Vis
Keyword(s):  
Renormalization Group ◽  
Standard Model ◽  
Planck Scale ◽  
Energy Scale ◽  
Einstein Frame ◽  
Ricci Scalar ◽  
Minimal Coupling ◽  
Renormalization Group Equations ◽  
The Standard Model

Abstract We derive one- and two-loop renormalization group equations (RGEs) of Higgs-R2 inflation. This model has a non-minimal coupling between the Higgs and the Ricci scalar and a Ricci scalar squared term on top of the standard model. The RGEs derived in this paper are valid as long as the energy scale of interest (in the Einstein frame) is below the Planck scale. We also discuss implications to the inflationary predictions and the electroweak vacuum metastability.

CONSTRAINTS ON HIGHER KAC-MOODY LEVEL STANDARD-LIKE MODELS FROM RENORMALIZATION GROUP EQUATIONS

1991 ◽  
Vol 06 (04) ◽  
pp. 325-332
Author(s):  
C.E. VAYONAKIS
Keyword(s):  
Renormalization Group ◽  
Standard Model ◽  
Renormalization Group Equations ◽  
The Standard Model ◽  
Superstring Theories

We examine the renormalization group equations for the standard model interactions realized at higher Kac-Moody levels, as derived from superstring theories. We try to find constraints on these levels, considering both perturbative and non-perturbative unification.

scholarly journals Renormalization Group and 3-3-1 Model with the DiscreteFlavour Symmetries

2012 ◽  
Vol 22 (1) ◽  
pp. 1-6
Author(s):  
Hoang Ngoc Long ◽  
Nguyen Thi Kim Ngan
Keyword(s):  
Renormalization Group ◽  
Standard Model ◽  
Gauge Group ◽  
Coupling Constants ◽  
Grand Unification ◽  
Flavor Symmetries ◽  
Renormalization Group Equations ◽  
The Standard Model

Renormalization group equations of the 3-3-1 models with A4 and S4 flavor symmetries as the only intermediate gauge group between the standard model and the scale of unification of the three coupling constants are presented. We shall assume that there is no necessarily a group of grand unification at the scale of convergence of the couplings.

scholarly journals Flavor Mixing and the Permutation Symmetry among Generations

2020 ◽  
Vol 2020 ◽  
pp. 1-8 ◽  
Author(s):  
T. K. Kuo ◽  
S. H. Chiu
Keyword(s):  
Renormalization Group ◽  
Standard Model ◽  
Symmetry Group ◽  
Mass Matrix ◽  
Symmetry Operation ◽  
Permutation Symmetry ◽  
Renormalization Group Equations ◽  
The Standard Model ◽  
Flavor Mixing ◽  
Physical Variables

In the standard model, the permutation symmetry among the three generations of fundamental fermions is usually regarded to be broken by the Higgs couplings. It is found that the symmetry is restored if we include the mass matrix parameters as physical variables which transform appropriately under the symmetry operation. Known relations between these variables, such as the renormalization group equations, as well as formulas for neutrino oscillations (in vacuum and in matter), are shown to be covariant tensor equations under the permutation symmetry group.

scholarly journals Renormalization Group evolution from on-shell SMEFT

2021 ◽  
Vol 2021 (1) ◽  
Author(s):  
Minyuan Jiang ◽  
Teng Ma ◽  
Jing Shu
Keyword(s):  
Field Theory ◽  
Renormalization Group ◽  
Standard Model ◽  
Effective Field Theory ◽  
Effective Field ◽  
High Dimensional ◽  
Anomalous Dimensions ◽  
The Standard Model ◽  
Group Evolution

Abstract We describe the on-shell method to derive the Renormalization Group (RG) evolution of Wilson coefficients of high dimensional operators at one loop, which is a necessary part in the on-shell construction of the Standard Model Effective Field Theory (SMEFT), and exceptionally efficient based on the amplitude basis in hand. The UV divergence is obtained by firstly calculating the coefficients of scalar bubble integrals by unitary cuts, then subtracting the IR divergence in the massless bubbles, which can be easily read from the collinear factors we obtained for the Standard Model fields. Examples of deriving the anomalous dimensions at dimension six are presented in a pedagogical manner. We also give the results of contributions from the dimension-8 H4D4 operators to the running of V+V−H2 operators, as well as the running of B+B−H2D2n from H4D2n+4 for general n.

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.

scholarly journals Lattice gauge theory for physics beyond the Standard Model

2019 ◽  
Vol 55 (11) ◽  
Author(s):  
Richard C. Brower ◽  
◽  
Anna Hasenfratz ◽  
Ethan T. Neil ◽  
Simon Catterall ◽  
...  
Keyword(s):  
Gauge Theory ◽  
Standard Model ◽  
Lattice Gauge Theory ◽  
Beyond The Standard Model ◽  
Lattice Gauge ◽  
The Standard Model
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