scholarly journals Gauge fixing and renormalization scale independence of tunneling rate in Abelian Higgs model and in the standard model

2016 ◽  
Vol 94 (8) ◽  
Author(s):  
Zygmunt Lalak ◽  
Marek Lewicki ◽  
Paweł Olszewski
2000 ◽  
Vol 15 (26) ◽  
pp. 1605-1610 ◽  
Author(s):  
J. PASUPATHY

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.


2004 ◽  
Vol 19 (13n16) ◽  
pp. 1195-1201
Author(s):  
XIAO-GANG HE

Casimir vacuum energy is divergent. It needs to be regularized. The regularization introduces a renormalization scale which may lead to a scale dependent cosmological constant. We show that the requirement of physical cosmological constant is renormalization scale independent provides important constraints on possible particle contents and their masses in particle physics models. In the Standard Model of strong and electroweak interactions, besides the Casimir vacuum energy there is also vacuum energy induced from spontaneous symmetry breaking. The requirement that the total vacuum energy to be scale independent dictates the Higgs mass to be [Formula: see text] where the summation is over fermions and Ni equals to 3 and 1 for quarks and leptons, respectively. The Higgs mass is predicted to be approximately 382 GeV.


2018 ◽  
Vol 120 (25) ◽  
Author(s):  
Andreas Helset ◽  
Michael Paraskevas ◽  
Michael Trott

2012 ◽  
Vol 27 (28) ◽  
pp. 1250158 ◽  
Author(s):  
XIAO-FANG HAN ◽  
LEI WANG

In the simplest little Higgs model the new flavor-changing interactions between heavy neutrinos and the Standard Model leptons can generate contributions to some lepton flavor violating decays of Z-boson at one-loop level, such as Z→τ±μ∓, Z→τ±e∓ and Z→μ±e∓. We examine the decay modes and find that the branching ratios can reach 10-7 for the three decays, which should be accessible at the GigaZ option of the ILC.


2002 ◽  
Vol 17 (03) ◽  
pp. 335-346 ◽  
Author(s):  
B. ANANTHANARAYAN ◽  
J. PASUPATHY

Plausible interrelations between parameters of the standard model are studied. The empirical value of the top quark mass, when used in the renormalization group equations, suggests that the ratio of the color SU(3) gauge coupling g3, and the top coupling gt is independent of the renormalization scale. On the other hand, the variety of top-condensate models suggests that the Higgs self-coupling λ is proportional to [Formula: see text]. Invoking the requirement that the ratio [Formula: see text] is independent of the renormalization scale t, fixes the Higgs mass. The pole mass of the Higgs (which differs from the renormalization group mass by a few percent) is found to be ~ 154 GeV for the one-loop equations and ~ 148 GeV for the two-loop equations.


2022 ◽  
Vol 2022 (1) ◽  
Author(s):  
Diogo Boito ◽  
Cristiane Y. London ◽  
Pere Masjuan

Abstract We use rational approximants to study missing higher orders in the massless scalar-current quark correlator. We predict the yet unknown six-loop coefficient of its imaginary part, related to Γ(H → b$$ \overline{b} $$ b ¯ ), to be c5 = −6900 ± 1400. With this result, the perturbative series becomes almost insensitive to renormalization scale variations and the intrinsic QCD truncation uncertainty is tiny. This confirms the expectation that higher-order loop computations for this quantity will not be required in the foreseeable future, as the uncertainty in Γ(H → b$$ \overline{b} $$ b ¯ ) will remain largely dominated by the Standard Model parameters.


2007 ◽  
Vol 22 (07) ◽  
pp. 1317-1334 ◽  
Author(s):  
FEDELE LIZZI

In this paper I discuss connections between the noncommutative geometry approach to the Standard Model on one side, and the internal space coming from strings on the other. The Standard Model in noncommutative geometry is described via the spectral action. I argue that an internal noncommutative manifold compactified at the renormalization scale, could give rise to the almost commutative geometry required by the spectral action. I then speculate how this could arise from the noncommutative geometry given by the vertex operators of a string theory.


2001 ◽  
Vol 16 (23) ◽  
pp. 3805-3822 ◽  
Author(s):  
H. H. ASATRYAN ◽  
H. M. ASATRIAN ◽  
G. K. YEGHIYAN ◽  
G. K. SAVVIDY

The direct CP asymmetry in the inclusive B → Xdγ and B → Xde+e-decays is investigated in the two-Higgs doublet extension of the Standard Model (2HDM). The investigation is performed in the lowest nonvanishing order of the perturbation theory using the existing restrictions on the 2HDM parameters space. It is shown that the direct CP asymmetry in the B → Xdγ decay can deviate significantly from the Standard Model predictions. In the presence of only one source of CP violation (the CKM matrix weak phase) aCP(B → Xdγ) can have the sign opposite to that in the SM. The new source of CP violation can make |aCP(B → Xdγ)| arbitrary small (unlike the SM case) and hence unmeasurable. Quantitatively, the obtained results suffer from the uncertainty of the choice of renormalization scale. As for the B → Xde+e-rate asymmetry, its renormalization scale dependence in the lowest nonvanishing order does not allow to conclude if this quantity is efficient for testing new physics beyond the Standard Model.


2009 ◽  
Vol 24 (24) ◽  
pp. 1943-1953 ◽  
Author(s):  
HUI-DI YANG ◽  
CHONG-XING YUE ◽  
JIA WEN ◽  
YONG-ZHI WANG

We consider the rare top decays t → qh and [Formula: see text] (q = u or c) in the context of the smallest Higgs model with T-parity (called the LHT model). We find that the LHT model can significantly enhance the values of the branching ratios Br (t → qh) and [Formula: see text] with respect to those predicted by the standard model (SM).


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