scholarly journals Renormalization of the EWCL and its Application to LEP2

2006 ◽  
Vol 21 (04) ◽  
pp. 889-892
Author(s):  
Qi-Shu Yan
Keyword(s):  
Renormalization Group ◽  
Gauge Coupling ◽  
Anomalous Couplings ◽  
Renormalization Group Equations ◽  
Triple Gauge Coupling ◽  
The Impact ◽  
Chiral Lagrangian

We perform a systematic one-loop renormalization on the electroweak chiral Lagrangian (EWCL) up to O(p4) operators and construct the renormalization group equations (RGE) for the anomalous couplings. We examine the impact of the triple gauge coupling (TGC) measurement from LEP2 to the uncertainty of the S–T parameter at the Λ = 1TeV, and find that the uncertainty in the TGC measurements can shift S(Λ) at least 3.3σ.

scholarly journals Perturbative unification of gauge couplings in supersymmetric E6 models

2016 ◽  
Vol 31 (22) ◽  
pp. 1650130 ◽  
Author(s):  
Gi-Chol Cho ◽  
Nobuhito Maru ◽  
Kaho Yotsutani
Keyword(s):  
Renormalization Group ◽  
Gauge Coupling ◽  
Gauge Fields ◽  
Grand Unified Theories ◽  
Renormalization Group Equations ◽  
Unified Theories ◽  
Perturbative Regime ◽  
Gut Scale ◽  
Gauge Couplings ◽  
Matter Fields

We study gauge coupling unification in supersymmetric (SUSY) E6 models where an additional U(1)[Formula: see text] gauge symmetry is broken near the TeV scale and a number of exotic matter fields from the 27 representations have O(TeV) mass. Solving the two-loop renormalization group equations (RGE) of gauge couplings and a kinetic mixing coupling between the U(1)[Formula: see text] and U(1)Y gauge fields, we find that the gauge couplings fall into the non-perturbative regime below the grand unified theories (GUT) scale. We examine threshold corrections on the running of gauge couplings from both light and heavy ([Formula: see text] GUT scale) particles and show constraints on the size of corrections to achieve the perturbative unification of gauge couplings.

scholarly journals Higgs-electroweak chiral Lagrangian: One-loop renormalization group equations

2021 ◽  
Vol 104 (7) ◽  
Author(s):  
G. Buchalla ◽  
O. Catà ◽  
A. Celis ◽  
M. Knecht ◽  
C. Krause
Keyword(s):  
Renormalization Group ◽  
Renormalization Group Equations ◽  
Chiral Lagrangian

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.

scholarly journals THE CASE OF ASYMPTOTIC SUPERSYMMETRY

2013 ◽  
Vol 28 (14) ◽  
pp. 1350053 ◽  
Author(s):  
BRUCE L. SÁNCHEZ-VEGA ◽  
ILYA L. SHAPIRO
Keyword(s):  
Fixed Point ◽  
Renormalization Group ◽  
Gauge Coupling ◽  
High Energy ◽  
Systematic Investigation ◽  
Coupling Constants ◽  
Scalar Coupling ◽  
Asymptotic State ◽  
Stable Fixed Point ◽  
Scalar Couplings

We start systematic investigation for the possibility to have supersymmetry (SUSY) as an asymptotic state of the gauge theory in the high energy (UV) limit, due to the renormalization group running of coupling constants of the theory. The answer on whether this situation takes place or not, can be resolved by dealing with the running of the ratios between Yukawa and scalar couplings to the gauge coupling. The behavior of these ratios does not depend too much on whether gauge coupling is asymptotically free (AF) or not. It can be shown that the UV stable fixed point for the Yukawa coupling is not supersymmetric. Taking this into account, one can break down SUSY only in the scalar coupling sector. We consider two simplest examples of such breaking, namely N = 1 supersymmetric QED and QCD. In one of the cases one can construct an example of SUSY being restored in the UV regime.

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