scholarly journals A landscape for the cosmological constant and the Higgs mass

2020 ◽  
Vol 2020 (1) ◽  
Author(s):  
Parsa Ghorbani ◽  
Alessandro Strumia ◽  
Daniele Teresi
Keyword(s):  
Cosmological Constant ◽  
Higgs Mass

scholarly journals Revisiting the decoupling effects in the running of the Cosmological Constant

2018 ◽  
Vol 33 (34) ◽  
pp. 1845013
Author(s):  
Oleg Antipin ◽  
Blaženka Melić
Keyword(s):  
Cosmological Constant ◽  
Higgs Mass ◽  
Vacuum Energy ◽  
Fine Tuning ◽  
Simple Extension ◽  
Heavy Particles ◽  
Entire Energy Range ◽  
The Standard Model ◽  
Entire Energy ◽  
Mass Dependent

We revisit the decoupling effects associated with heavy particles in the renormalization group running of the vacuum energy in a mass-dependent renormalization scheme. We find the running of the vacuum energy stemming from the Higgs condensate in the entire energy range and show that it behaves as expected from the simple dimensional arguments, meaning that it exhibits the quadratic sensitivity to the mass of the heavy particles in the infrared regime. The consequence of such a running to the fine-tuning problem with the measured value of the Cosmological Constant is analyzed and the constraint on the mass spectrum of a given model is derived. We show that in the Standard Model (SM) this fine-tuning constraint is not satisfied while in the massless theories this constraint formally coincides with the well-known Veltman condition. We also provide a remarkably simple extension of the SM where saturation of this constraint enables us to predict the radiative Higgs mass correctly. Generalization to constant curvature spaces is also given.

scholarly journals HIGGS MASS FROM A CASIMIR ENERGY INDUCED COSMOLOGICAL CONSTANT IN THE STANDARD MODEL

2004 ◽  
Vol 19 (13n16) ◽  
pp. 1195-1201
Author(s):  
XIAO-GANG HE
Keyword(s):  
Standard Model ◽  
Symmetry Breaking ◽  
Cosmological Constant ◽  
Spontaneous Symmetry Breaking ◽  
Particle Physics ◽  
Higgs Mass ◽  
Vacuum Energy ◽  
Casimir Energy ◽  
Renormalization Scale ◽  
The Standard Model

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.

scholarly journals Generating Einstein gravity, cosmological constant and Higgs mass from restricted Weyl invariance

2015 ◽  
Vol 30 (30) ◽  
pp. 1550152 ◽  
Author(s):  
Ariel Edery ◽  
Yu Nakayama
Keyword(s):  
Scalar Field ◽  
Cosmological Constant ◽  
Higgs Mass ◽  
Higgs Field ◽  
Higgs Sector ◽  
Massless Scalar ◽  
Massless Scalar Field ◽  
Invariant Action ◽  
Weyl Invariance ◽  
The Standard Model

Recently, it has been pointed out that dimensionless actions in four-dimensional curved spacetime possess a symmetry which goes beyond scale invariance but is smaller than full Weyl invariance. This symmetry was dubbed restricted Weyl invariance. We show that starting with a restricted Weyl invariant action that includes a Higgs sector with no explicit mass, one can generate the Einstein–Hilbert action with cosmological constant and a Higgs mass. The model also contains an extra massless scalar field which couples to the Higgs field (and gravity). If the coupling of this extra scalar field to the Higgs field is negligibly small, this fixes the coefficient of the nonminimal coupling [Formula: see text] between the Higgs field and gravity. Besides the Higgs sector, all the other fields of the Standard Model can be incorporated into the original restricted Weyl invariant action.

scholarly journals Surprises with nonrelativistic naturalness

2016 ◽  
Vol 25 (13) ◽  
pp. 1645007 ◽  
Author(s):  
Petr Hořava
Keyword(s):  
Scalar Field ◽  
Cosmological Constant ◽  
Higgs Mass ◽  
Condensed Matter ◽  
Mass Hierarchy ◽  
Hierarchy Problem ◽  
Cosmological Constant Problem ◽  
Fundamental Physics ◽  
Mass Hierarchy Problem

We explore the landscape of technical naturalness for nonrelativistic systems, finding surprises which challenge and enrich our relativistic intuition already in the simplest case of a single scalar field. While the immediate applications are expected in condensed matter and perhaps in cosmology, the study is motivated by the leading puzzles of fundamental physics involving gravity: the cosmological constant problem and the Higgs mass hierarchy problem.

Cosmological constant

2018 ◽  
Author(s):  
Michael Kachelriess
Keyword(s):  
Dark Energy ◽  
Cosmological Constant ◽  
Accelerated Expansion ◽  
Vacuum Fluctuations ◽  
Present Epoch ◽  
Modify Gravity ◽  
Expansion Of The Universe ◽  
The Universe

The contribution of vacuum fluctuations to the cosmological constant is reconsidered studying the dependence on the used regularisation scheme. Then alternative explanations for the observed accelerated expansion of the universe in the present epoch are introduced which either modify gravity or add a new component of matter, dubbed dark energy. The chapter closes with some comments on attempts to quantise gravity.

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