scholarly journals The 1-loop effective potential for the Standard Model in curved spacetime

2018 ◽  
Vol 2018 (6) ◽  
Author(s):  
Tommi Markkanen ◽  
Sami Nurmi ◽  
Arttu Rajantie ◽  
Stephen Stopyra
Keyword(s):  
Standard Model ◽  
Effective Potential ◽  
Curved Spacetime ◽  
The Standard Model

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.

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.

scholarly journals Quantum gravitational contributions to the Standard Model effective potential and vacuum stability

2015 ◽  
Vol 30 (34) ◽  
pp. 1550189 ◽  
Author(s):  
Florian Loebbert ◽  
Jan Plefka
Keyword(s):  
Standard Model ◽  
Quantum Gravity ◽  
Parameter Space ◽  
Effective Potential ◽  
Large Fraction ◽  
Percent Level ◽  
Planck Scale ◽  
Vacuum Stability ◽  
The Standard Model ◽  
The Impact

We compute the quantum gravitational contributions to the Standard Model (SM) effective potential and analyze their effects on the Higgs vacuum stability in the framework of effective field theory. Einstein gravity necessarily implies the existence of higher dimension [Formula: see text] and [Formula: see text] operators with novel couplings [Formula: see text] in the Higgs sector. The beta functions of these couplings are established and the impact of the gravity induced contributions on electroweak vacuum stability is studied. We find that the true minimum of the SM effective potential now lies below the Planck scale for almost the entire parameter space [Formula: see text]. In addition quantum gravity is shown to contribute to the minimal value of the SM next-to-leading order (NLO) effective potential at the percent level. The quantum gravity induced contributions yield a metastable vacuum for a large fraction of the parameter space in the flowing couplings [Formula: see text].

scholarly journals FLIPPED SU(5), SEESAW SCALE PHYSICS AND DEGENERATE VACUA

2006 ◽  
Vol 21 (14) ◽  
pp. 1151-1160 ◽  
Author(s):  
C. R. DAS ◽  
C. D. FROGGATT ◽  
L. V. LAPERASHVILI ◽  
H. B. NIELSEN
Keyword(s):  
Standard Model ◽  
Effective Potential ◽  
Top Quark ◽  
Multiple Point ◽  
Yukawa Couplings ◽  
Fundamental Scale ◽  
Loop Approximation ◽  
The Standard Model ◽  
Gut Scale ◽  
The One

We investigate the requirement of the existence of two degenerate vacua of the effective potential as a function of the Weinberg–Salam Higgs scalar field norm, as suggested by the multiple point principle, in an extension of the Standard Model including seesaw scale physics. Results are presented from an investigation of an extension of the Standard Model to the gauge symmetry group SU (3)C× SU (2)L× U (1)′×Ũ(1), where U (1)′ and Ũ(1) originate at the seesaw scale M SS , when heavy (right-handed) neutrinos appear. The consequent unification of the group SU (3)C× SU (2)L× U (1)′ into the flipped SU (5) at the GUT scale leads to the group SU (5)×Ũ(1). We assume the position of the second minimum of the effective potential coincides with the fundamental scale, here taken to be the GUT scale. We solve the renormalization group equations in the one-loop approximation and obtain a top-quark mass of 171±3 GeV and a Higgs mass of 129±4 GeV , in the case when the Yukawa couplings of the neutrinos are less than half that of the top quark at the GUT scale.

scholarly journals Consistent Use of the Standard Model Effective Potential

2014 ◽  
Vol 113 (24) ◽  
Author(s):  
Anders Andreassen ◽  
William Frost ◽  
Matthew D. Schwartz
Keyword(s):  
Standard Model ◽  
Effective Potential ◽  
The Standard Model

scholarly journals Classically Scale Invariant Inflation and (A)gravity

2016 ◽  
Vol 43 ◽  
pp. 1660203 ◽  
Author(s):  
Arsham Farzinnia
Keyword(s):  
Standard Model ◽  
Effective Potential ◽  
Goldstone Boson ◽  
Data Sets ◽  
Small Field ◽  
Scale Invariant ◽  
Inflaton Field ◽  
Slow Roll ◽  
The Standard Model ◽  
Majorana Neutrinos

In this talk, I present the minimal classically scale-invariant and [Formula: see text]-symmetric extension of the standard model, containing one additional complex gauge singlet and three flavors of right-handed Majorana neutrinos, incorporated within a renormalizable framework of gravity, consistent with these symmetries; the Agravity. I particularly focus on the slow-roll inflationary paradigm within this framework, by identifying the pseudo-Nambu-Goldstone boson of the (approximate) scale symmetry with the inflaton field, constructing its one-loop effective potential, computing the slow-roll parameters and the inflationary observables, and demonstrating the compatibility of the small field inflation scenario with the latest Planck collaboration data sets. a

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