Gauge Parameter Independence of the Higgs Pole Masses in the Multi-Higgs Model

2020 ◽  
Vol 77 (1) ◽  
pp. 6-9
Author(s):  
Chungku Kim
Keyword(s):  
Higgs Model ◽  
Gauge Parameter ◽  
Parameter Independence

scholarly journals EFFECTIVE POTENTIALS AND SYMMETRY RESTORATION IN THE CHIRAL ABELIAN HIGGS MODEL

1995 ◽  
Vol 10 (12) ◽  
pp. 997-1009
Author(s):  
JENS O. ANDERSEN
Keyword(s):  
Three Dimensional ◽  
Higgs Model ◽  
Effective Theory ◽  
Gauge Parameter ◽  
Dimensional Theory ◽  
Abelian Higgs Model ◽  
Effective Potentials ◽  
First Order ◽  
First Order Phase Transition ◽  
First Order Phase

The chiral Abelian Higgs model is studied at finite temperature. By integrating out the heavy modes, we make a three-dimensional effective theory for the static modes. It is demonstrated that the plasma masses are correctly reproduced to leading order in m2/T2. The effective potential for the composite operator ɸ†ɸ is calculated at one-loop for the resulting three-dimensional theory and it is shown that the result is gauge parameter independent. The numerical investigation of the potential reveals that the symmetry is restored via a first-order phase transition. Comparison with the ordinary ring improved potential is made and it is found that the barrier height at Tc is somewhat higher.

On-shell gauge-parameter independence of〈q¯q〉contributions to electroweak quark self-energies

1989 ◽  
Vol 39 (9) ◽  
pp. 2764-2772 ◽  
Author(s):  
M. R. Ahmady ◽  
V. Elias ◽  
R. R. Mendel ◽  
M. D. Scadron ◽  
T. Steele
Keyword(s):  
Gauge Parameter ◽  
Parameter Independence

scholarly journals Spectral properties of local gauge invariant composite operators in the SU(2) Yang–Mills–Higgs model

2021 ◽  
Vol 81 (3) ◽  
Author(s):  
D. Dudal ◽  
D. M. van Egmond ◽  
M. S. Guimarães ◽  
L. F. Palhares ◽  
G. Peruzzo ◽  
...  
Keyword(s):  
Spectral Properties ◽  
Higgs Field ◽  
Higgs Model ◽  
Gauge Parameter ◽  
Loop Order ◽  
Spectral Functions ◽  
Yang Mills ◽  
Local Gauge ◽  
Point Correlation ◽  
Local Operators

AbstractThe spectral properties of a set of local gauge (BRST) invariant composite operators are investigated in the SU(2) Yang–Mills–Higgs model with a single Higgs field in the fundamental representation, quantized in the ’t Hooft $$R_{\xi }$$ R ξ -gauge. These operators can be thought of as a BRST invariant version of the elementary fields of the theory, the Higgs and gauge fields, with which they share a gauge independent pole mass. The two-point correlation functions of both BRST invariant composite operators and elementary fields, as well as their spectral functions, are investigated at one-loop order. It is shown that the spectral functions of the elementary fields suffer from a strong unphysical dependence from the gauge parameter $$\xi $$ ξ , and can even exhibit positivity violating behaviour. In contrast, the BRST invariant local operators exhibit a well defined positive spectral density.

scholarly journals Full . Full O(α) electroweak radiative corrections to e^+ e^-→ZH with beam polarizations at the ILCO(α) electroweak radiative corrections to e^+ e^-→ZH with beam polarizations at the ILC

2019 ◽  
Vol 15 (3) ◽  
pp. 24
Author(s):  
Phan Hong Khiem ◽  
Pham Nguyen Hoang Thinh
Keyword(s):  
Cross Section ◽  
Linear Collider ◽  
International Linear Collider ◽  
Gauge Parameter ◽  
Beyond The Standard Model ◽  
Radiative Corrections ◽  
Electroweak Radiative Corrections ◽  
The Standard Model ◽  
Parameter Independence ◽  
The Impact

We present full  electroweak radiative corrections to  with the initial beam polarizations at the International Linear Collider (ILC). The calculation is checked numerically by using three consistency tests that are ultraviolet finiteness, infrared finiteness, and gauge parameter independence. In phenomenological results, we study the impact of the electroweak corrections to total cross section as well as its distributions. In addition, we discuss the possibility of searching  for an additional Higgs in arbitrary beyond the Standard Model (BSM) through ZH production at the ILC.

O pewnym założeniu twierdzenia Bella

2018 ◽  
Vol 52 (4) ◽  
pp. 39
Author(s):  
Jan Czerniawski
Keyword(s):  
Screening Off ◽  
Parameter Independence

Dowód twierdzenia Bella sprowadza się do wyprowadzenia którejś z nierówności Bella. W ich standardowych wyprowadzeniach jednak kluczową rolę odgrywa warunek faktoryzowalności łącznego prawdopodobieństwa warunkowego, który można uzyskać jako konsekwencję dwóch innych warunków, znanych jako parameter independence i outcome independence. Pierwszy z nich jest dość oczywistym wyrazem warunku lokalności, natomiast drugi budzi wątpliwości. Ponieważ jednak jest on uszczegółowieniem warunku screening off zasady wspólnej przyczyny, jego podważenie wymagałoby zakwestionowania również tego warunku. Gdyby się to powiodło, efektywny dowód twierdzenia Bella wymagałby wyprowadzenia nierówności Bella nie wykorzystującego żadnego uszczegółowienia warunku screening off. Przestawiona zostanie sugestia kierunku, w jakim powinny iść poszukiwania modelu naruszającego ten warunek.

scholarly journals Electroweak baryogenesis and gravitational waves in a composite Higgs model with high dimensional fermion representations

2020 ◽  
Vol 2020 (12) ◽  
Author(s):  
Ke-Pan Xie ◽  
Ligong Bian ◽  
Yongcheng Wu
Keyword(s):  
Form Factors ◽  
Higgs Doublet ◽  
Higgs Model ◽  
High Dimensional ◽  
Electroweak Phase Transition ◽  
First Order ◽  
Composite Higgs ◽  
Future Space ◽  
The Universe ◽  
Scalar Sector

Abstract We study electroweak baryogenesis in the SO(6)/SO(5) composite Higgs model with the third generation quarks being embedded in the 20′ representation of SO(6). The scalar sector contains one Higgs doublet and one real singlet, and their potential is given by the Coleman-Weinberg potential evaluated from the form factors of the lightest vector and fermion resonances. We show that the resonance masses at $$ \mathcal{O}\left(1\sim 10\kern0.5em \mathrm{TeV}\right) $$ O 1 ∼ 10 TeV can generate a potential that triggers the strong first-order electroweak phase transition (SFOEWPT). The CP violating phase arising from the dimension-6 operator in the top sector is sufficient to yield the observed baryon asymmetry of the universe. The SFOEWPT parameter space is detectable at the future space-based detectors.

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