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 Rephasing invariance and permutation symmetry in flavor physics

2020 ◽  
Vol 80 (3) ◽  
Author(s):  
T. K. Kuo ◽  
S. H. Chiu
Keyword(s):  
Standard Model ◽  
Flavor Physics ◽  
Permutation Symmetry ◽  
Mixing Parameters ◽  
The Standard Model ◽  
Flavor Mixing ◽  
Physical Variables

AbstractWith some modifications, the arguments for rephasing invariance can be used to establish permutation symmetry for the standard model. The laws of evolution of physical variables, which transform as tensors under permutation, are found to obey the symmetry, explicitly. We also propose to use a set of four mixing parameters, with unique properties, which may serve to characterize flavor mixing.

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.

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 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 HIDING THE EXISTENCE OF A FAMILY SYMMETRY IN THE STANDARD MODEL

2005 ◽  
Vol 20 (36) ◽  
pp. 2767-2774 ◽  
Author(s):  
ERNEST MA
Keyword(s):  
Standard Model ◽  
Neutrino Mass ◽  
Mass Matrix ◽  
Higgs Sector ◽  
Higgs Doublet ◽  
Neutrino Mass Matrix ◽  
Tree Level ◽  
Family Symmetry ◽  
The Standard Model

If a family symmetry exists for the quarks and leptons, the Higgs sector is expected to be enlarged to be able to support the transformation properties of this symmetry. There are, however, three possible generic ways (at tree level) of hiding this symmetry in the context of the Standard Model with just one Higgs doublet. All three mechanisms have their natural realizations in the unification symmetry E6 and one in SO (10). An interesting example based on SO (10)×A4 for the neutrino mass matrix is discussed.

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