scholarly journals λφ4model and Higgs mass in standard model calculated by Gaussian effective potential approach with a new regularization-renormalization method

1998 ◽  
Vol 41 (11) ◽  
pp. 1206-1215 ◽  
Author(s):  
Guangjiong Ni ◽  
Senyue Lou ◽  
Wenfa Lu ◽  
Jifeng Yang
Keyword(s):  
Standard Model ◽  
Effective Potential ◽  
Higgs Mass ◽  
Potential Approach ◽  
Gaussian Effective Potential ◽  
Renormalization Method

scholarly journals O(N)-symmetric λφ4theory: The Gaussian-effective-potential approach

1987 ◽  
Vol 35 (8) ◽  
pp. 2407-2414 ◽  
Author(s):  
P. M. Stevenson ◽  
B. Allès ◽  
R. Tarrach
Keyword(s):  
Effective Potential ◽  
Potential Approach ◽  
Gaussian Effective Potential

Gaussian Approach to (1 + 1) Dimensional φ6 Solitons at Finite Temperature

1990 ◽  
Vol 45 (6) ◽  
pp. 779-782
Author(s):  
Rajkumar Roychoudhury ◽  
Manasi Sengupta
Keyword(s):  
Critical Temperature ◽  
Effective Potential ◽  
Finite Temperature ◽  
Soliton Solutions ◽  
Gap Equation ◽  
Potential Approach ◽  
Mass Gap ◽  
Gaussian Effective Potential

AbstractUsing the Gaussian effective potential approach, φ6 soliton solutions at finite temperature are studied for both the general case and the particular case λ2 = 2ξm2. A critical temperature is found at which soliton solutions cease to exist. The effective potential together with the mass-gap equation are studied in detail, and comparison with existing work on this subject is made

scholarly journals NONPERTURBATIVE EFFECTIVE MODEL FOR THE HIGGS SECTOR OF THE STANDARD MODEL

2010 ◽  
Vol 25 (32) ◽  
pp. 5865-5884 ◽  
Author(s):  
FABIO SIRINGO ◽  
LUCA MAROTTA
Keyword(s):  
Standard Model ◽  
Strong Coupling ◽  
Effective Potential ◽  
Higgs Sector ◽  
Effective Model ◽  
Scalar Theory ◽  
The Standard Model ◽  
Gaussian Effective Potential ◽  
Derivatives Of ◽  
Good Agreement

A nonperturbative effective model is derived for the Higgs sector of the Standard Model which is described by a simple scalar theory. The renormalized couplings are determined by the derivatives of the Gaussian effective potential that are known to be the sum of infinite bubble graphs contributing to the vertex functions. A good agreement has been found with strong coupling lattice simulations when a comparison can be made.

Gaussian Approach to (1+1)Dimensional Solitons at Finite Temperature

1989 ◽  
Vol 44 (6) ◽  
pp. 524-528
Author(s):  
Rajkumar Roychoudhury ◽  
Manasi Sengupta
Keyword(s):  
Critical Temperature ◽  
Effective Potential ◽  
Finite Temperature ◽  
Soliton Solutions ◽  
Gap Equation ◽  
Potential Approach ◽  
Mass Gap ◽  
Gaussian Effective Potential

Soliton solutions at finite temperature have been studied using the Gaussian effective potential approach. A critical temperature Tc is obtained at which the soliton solutions cease to exist. The effective potential has also been calculated together with the Mass Gap equation.

DIRECT RG-IMPROVEMENT OF THE HIGGS MASS

2002 ◽  
Vol 17 (05) ◽  
pp. 685-700
Author(s):  
ALI AL-NAGHMOUSH ◽  
SULEIMAN S. AL-THOYAIB ◽  
M. O. TAHA
Keyword(s):  
Renormalization Group ◽  
Standard Model ◽  
Effective Potential ◽  
Upper Bound ◽  
Higgs Mass ◽  
Renormalization Group Equation ◽  
Numerical Results ◽  
Group Equation ◽  
Absolute Minimum ◽  
The Standard Model

We write the renormalization group equation for the Higgs mass mH and use it to improve calculations of mH in the standard model. This improvement changes the results considerably and should be taken into account in a reliable calculation. Our numerical results give the upper bound mH≤173 GeV under the condition that the effective potential is real at its absolute minimum. This result is in agreement with recent experimental and theoretical estimates.

scholarly journals A CALCULATION OF HIGGS MASS IN THE STANDARD MODEL

2000 ◽  
Vol 15 (26) ◽  
pp. 1605-1610 ◽  
Author(s):  
J. PASUPATHY
Keyword(s):  
Standard Model ◽  
Yukawa Coupling ◽  
Higgs Mass ◽  
Renormalization Scale ◽  
The Standard Model ◽  
Gauge Couplings ◽  
Top Mass

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.

Ring-diagram summations in the finite-temperature effective potential

1993 ◽  
Vol 71 (5-6) ◽  
pp. 227-236 ◽  
Author(s):  
M. E. Carrington
Keyword(s):  
Phase Transition ◽  
Standard Model ◽  
Effective Potential ◽  
Finite Temperature ◽  
Electroweak Phase Transition ◽  
First Order ◽  
Ring Diagram ◽  
First Order Phase Transition ◽  
The Standard Model ◽  
The One

There has been much recent interest in the finite-temperature effective potential of the standard model in the context of the electroweak phase transition. We review the calculation of the effective potential with particular emphasis on the validity of the expansions that are used. The presence of a term that is cubic in the Higgs condensate in the one-loop effective potential appears to indicate a first-order electroweak phase transition. However, in the high-temperature regime, the infrared singularities inherent in massless models produce cubic terms that are of the same order in the coupling. In this paper, we discuss the inclusion of an infinite set of these terms via the ring-diagram summation, and show that the standard model has a first-order phase transition in the weak coupling expansion.

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