scholarly journals MAGNETIC FIELD GENERATION IN HIGGS INFLATION MODEL

2012 ◽  
Vol 27 (08) ◽  
pp. 1250040 ◽  
Author(s):  
MOUMITA DAS ◽  
SUBHENDRA MOHANTY
Keyword(s):  
Magnetic Field ◽  
Planck Scale ◽  
Higgs Field ◽  
Jordan Frame ◽  
Back Reaction ◽  
Standard Model Higgs Boson ◽  
Magnetic Field Generation ◽  
Large Coupling ◽  
Inflation Model ◽  
The Standard Model

We study the generation of magnetic field in Higgs inflation models where the Standard Model Higgs boson has a large coupling to the Ricci scalar. We couple the Higgs field to the electromagnetic fields via a nonrenormalizable dimension six operator suppressed by the Planck scale in the Jordan frame. We show that by choosing the Higgs coupling λ(MZ) = 0.132 (which corresponds to mh = 126 GeV in keeping with the recent measurements by ATLAS and CMS) and curvature coupling ξ(MZ) = 103 we can generate comoving magnetic fields of 10-7 Gauss at present and comoving coherence length of 100 kpc. The problem of large back-reaction which is generic in the usual inflation models of magneto-genesis is avoided as the back-reaction is suppressed by the large Higgs-curvature coupling.

scholarly journals HIGGS INFLATION IN f(Φ, R) THEORY

2014 ◽  
Vol 23 (04) ◽  
pp. 1450029 ◽  
Author(s):  
GIRISH KUMAR CHAKRAVARTY ◽  
SUBHENDRA MOHANTY ◽  
NAVEEN K. SINGH
Keyword(s):  
Scalar Curvature ◽  
Spectral Index ◽  
Early Universe ◽  
Coupling Parameter ◽  
Planck Scale ◽  
Higgs Field ◽  
Coupling Model ◽  
Order Unity ◽  
Inflation Model ◽  
Higher Dimensional

We generalize the scalar-curvature coupling model ξΦ2R of Higgs inflation to ξΦaRb to study inflation. We compute the amplitude and spectral index of curvature perturbations generated during inflation and fix the parameters of the model by comparing these with the Planck + WP data. We find that if the scalar self-coupling λ is in the range 10-5–0.1, parameter a in the range 2.3–3.6 and b in the range 0.77–0.22 at the Planck scale, one can have a viable inflation model even for ξ ≃ 1. The tensor to scalar ratio r in this model is small and our model with scalar-curvature couplings is not ruled out by observational limits on r unlike the pure [Formula: see text] theory. By requiring the curvature coupling parameter to be of order unity, we have evaded the problem of unitarity violation in scalar-graviton scatterings which plague the ξΦ2R Higgs inflation models. We conclude that the Higgs field may still be a good candidate for being the inflaton in the early universe if one considers higher-dimensional curvature coupling.

scholarly journals Higgs cosmology

2018 ◽  
Vol 376 (2114) ◽  
pp. 20170128
Author(s):  
Arttu Rajantie
Keyword(s):  
Particle Physics ◽  
Hadron Collider ◽  
Planck Scale ◽  
Higgs Field ◽  
Cosmological Observations ◽  
The Standard Model ◽  
Vacuum Instability ◽  
Ultimate Fate ◽  
Physics Experiments ◽  
The Universe

The discovery of the Higgs boson in 2012 and other results from the Large Hadron Collider have confirmed the standard model of particle physics as the correct theory of elementary particles and their interactions up to energies of several TeV. Remarkably, the theory may even remain valid all the way to the Planck scale of quantum gravity, and therefore it provides a solid theoretical basis for describing the early Universe. Furthermore, the Higgs field itself has unique properties that may have allowed it to play a central role in the evolution of the Universe, from inflation to cosmological phase transitions and the origin of both baryonic and dark matter, and possibly to determine its ultimate fate through the electroweak vacuum instability. These connections between particle physics and cosmology have given rise to a new and growing field of Higgs cosmology, which promises to shed new light on some of the most puzzling questions about the Universe as new data from particle physics experiments and cosmological observations become available. This article is part of the Theo Murphy meeting issue ‘Higgs cosmology’.

scholarly journals The origin of rest-mass energy

2021 ◽  
Vol 81 (8) ◽  
Author(s):  
Fulvio Melia
Keyword(s):  
Binding Energy ◽  
Rest Mass ◽  
Higgs Field ◽  
Back Reaction ◽  
Mass Energy ◽  
Cosmological Observations ◽  
The Standard Model ◽  
Annus Mirabilis ◽  
Baryonic Mass ◽  
The Universe

AbstractToday we have a solid, if incomplete, physical picture of how inertia is created in the standard model. We know that most of the visible baryonic ‘mass’ in the Universe is due to gluonic back-reaction on accelerated quarks, the latter of which attribute their own inertia to a coupling with the Higgs field – a process that elegantly and self-consistently also assigns inertia to several other particles. But we have never had a physically viable explanation for the origin of rest-mass energy, in spite of many attempts at understanding it towards the end of the nineteenth century, culminating with Einstein’s own landmark contribution in his Annus Mirabilis. Here, we introduce to this discussion some of the insights we have garnered from the latest cosmological observations and theoretical modeling to calculate our gravitational binding energy with that portion of the Universe to which we are causally connected, and demonstrate that this energy is indeed equal to $$mc^2$$ m c 2 when the inertia m is viewed as a surrogate for gravitational mass.

scholarly journals Mean-Field Dynamo Model in Anisotropic Uniform Turbulent Flow with Short-Time Correlations

Galaxies ◽  
2020 ◽  
Vol 8 (3) ◽  
pp. 68
Author(s):  
E. V. Yushkov ◽  
R. Allahverdiyev ◽  
D. D. Sokoloff
Keyword(s):  
Magnetic Field ◽  
Mean Field ◽  
Integral Approach ◽  
Dynamo Model ◽  
Back Reaction ◽  
Field Equations ◽  
Dynamo Theory ◽  
Magnetic Field Generation ◽  
Initial Current ◽  
Mean Field Equations

The mean-field model is one of the basic models of the dynamo theory, which describes the magnetic field generation in a turbulent astrophysical plasma. The first mean-field equations were obtained by Steenbeck, Krause and Rädler for two-scale turbulence under isotropy and uniformity assumptions. In this article we develop the path integral approach to obtain mean-field equations for a short-correlated random velocity field in anisotropic streams. By this model we analyse effects of anisotropy and show the relation between dynamo growth and anisotropic tensors of helicity/turbulent diffusivity. Considering particular examples and comparing results with isotropic cases we demonstrate several mean-field effects: super-exponential growth at initial times, complex dependence of harmonics growth on the helicity tensor structure, when generation is possible for near-zero component or near-zero helicity trace, increase of the averaged magnetic field inclined to the initial current density that leads to effective Lorentz back-reaction and violation of force-free conditions.

scholarly journals Magnetogenesis in Natural Inflation Model

2018 ◽  
Vol 63 (8) ◽  
pp. 673 ◽  
Author(s):  
M. Kamarpour ◽  
O. Sobol
Keyword(s):  
Magnetic Field ◽  
Back Reaction ◽  
Coupling Problem ◽  
Factor I ◽  
Inflation Model ◽  
Kinetic Coupling ◽  
Electric Component ◽  
Single Field ◽  
The Magnetic Field ◽  
Reaction Problem

We study the process of inflationary magnetogenesis in the natural single-field inflation model, whose parameters are chosen in accordance with the recent observations by the Planck collaboration [1]. The conformal invariance of the Maxwell action is broken by a kinetic coupling with the inflaton field by means of the coupling function as a power of the scale factor, I(ф) ∝ aa, and a < 0 is used in order to avoid the strong coupling problem. For such a, the electric component of the energy density dominates over the magnetic one and, for a <- −2.2, it causes a strong back-reaction, which can spoil inflation and terminate the enhancement of the magnetic field. It is found that the magnetic fields generated without back-reaction problem cannot exceed ∼10−20G at the present epoch, and their spectrum has a blue tilt.

scholarly journals VACUUM STABILITY IN THE STANDARD MODEL

2013 ◽  
Vol 28 (04) ◽  
pp. 1330002 ◽  
Author(s):  
YONG TANG
Keyword(s):  
Higgs Boson ◽  
Standard Model ◽  
Planck Scale ◽  
New Physics ◽  
Standard Model Higgs Boson ◽  
Higgs Particle ◽  
Vacuum Stability ◽  
The Standard Model ◽  
The Stability ◽  
Theoretical Issues

The long-awaited Higgs particle H around 125 GeV has been observed at the LHC. Interpreting it as the Standard Model Higgs boson and if there is no new physics between electroweak and Planck scale, we then do not have a stable vacuum. Here, we give a brief review of the electroweak vacuum stability and some related theoretical issues in the Standard Model. Possible ways to save the stability are also discussed.

scholarly journals An 84-μG Magnetic Field in a Galaxy at Z=0.692?

2008 ◽  
Vol 4 (S254) ◽  
pp. 95-96
Author(s):  
Arthur M. Wolfe ◽  
Regina A. Jorgenson ◽  
Timothy Robishaw ◽  
Carl Heiles ◽  
Jason X. Prochaska
Keyword(s):  
Magnetic Field ◽  
Magnetic Fields ◽  
Faraday Rotation ◽  
Large Scale ◽  
Dynamo Model ◽  
Magnetic Field Generation ◽  
Interstellar Gas ◽  
Splitting Technique ◽  
Average Value ◽  
The Magnetic Field

AbstractThe magnetic field pervading our Galaxy is a crucial constituent of the interstellar medium: it mediates the dynamics of interstellar clouds, the energy density of cosmic rays, and the formation of stars (Beck 2005). The field associated with ionized interstellar gas has been determined through observations of pulsars in our Galaxy. Radio-frequency measurements of pulse dispersion and the rotation of the plane of linear polarization, i.e., Faraday rotation, yield an average value B ≈ 3 μG (Han et al. 2006). The possible detection of Faraday rotation of linearly polarized photons emitted by high-redshift quasars (Kronberg et al. 2008) suggests similar magnetic fields are present in foreground galaxies with redshifts z > 1. As Faraday rotation alone, however, determines neither the magnitude nor the redshift of the magnetic field, the strength of galactic magnetic fields at redshifts z > 0 remains uncertain.Here we report a measurement of a magnetic field of B ≈ 84 μG in a galaxy at z =0.692, using the same Zeeman-splitting technique that revealed an average value of B = 6 μG in the neutral interstellar gas of our Galaxy (Heiles et al. 2004). This is unexpected, as the leading theory of magnetic field generation, the mean-field dynamo model, predicts large-scale magnetic fields to be weaker in the past, rather than stronger (Parker 1970).The full text of this paper was published in Nature (Wolfe et al. 2008).

scholarly journals Renormalization group equations of Higgs-R2 inflation

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
Yohei Ema ◽  
Kyohei Mukaida ◽  
Jorinde van de Vis
Keyword(s):  
Renormalization Group ◽  
Standard Model ◽  
Planck Scale ◽  
Energy Scale ◽  
Einstein Frame ◽  
Ricci Scalar ◽  
Minimal Coupling ◽  
Renormalization Group Equations ◽  
The Standard Model

Abstract We derive one- and two-loop renormalization group equations (RGEs) of Higgs-R2 inflation. This model has a non-minimal coupling between the Higgs and the Ricci scalar and a Ricci scalar squared term on top of the standard model. The RGEs derived in this paper are valid as long as the energy scale of interest (in the Einstein frame) is below the Planck scale. We also discuss implications to the inflationary predictions and the electroweak vacuum metastability.

scholarly journals Search for π0 decays to invisible particles

2021 ◽  
Vol 2021 (2) ◽  
Author(s):  
E. Cortina Gil ◽  
◽  
A. Kleimenova ◽  
E. Minucci ◽  
S. Padolski ◽  
...  
Keyword(s):  
Higgs Boson ◽  
Standard Model ◽  
Confidence Level ◽  
Branching Ratio ◽  
Standard Model Higgs Boson ◽  
Scalar Mixing ◽  
Upper Limit ◽  
Upper Limits ◽  
The Standard Model ◽  
Model Independent

Abstract The NA62 experiment at the CERN SPS reports a study of a sample of 4 × 109 tagged π0 mesons from K+ → π+π0(γ), searching for the decay of the π0 to invisible particles. No signal is observed in excess of the expected background fluctuations. An upper limit of 4.4 × 10−9 is set on the branching ratio at 90% confidence level, improving on previous results by a factor of 60. This result can also be interpreted as a model- independent upper limit on the branching ratio for the decay K+ → π+X, where X is a particle escaping detection with mass in the range 0.110–0.155 GeV/c2 and rest lifetime greater than 100 ps. Model-dependent upper limits are obtained assuming X to be an axion-like particle with dominant fermion couplings or a dark scalar mixing with the Standard Model Higgs boson.

scholarly journals Planck Neutrinos as Ultra High Energy Cosmic Rays

2020 ◽  
Vol 29 (1) ◽  
pp. 40-46
Author(s):  
Dmitri L. Khokhlov
Keyword(s):  
Black Holes ◽  
Cosmic Rays ◽  
Standard Model ◽  
Active Galactic Nuclei ◽  
Planck Scale ◽  
Galactic Nuclei ◽  
High Energy ◽  
Ultra High Energy ◽  
High Energy Cosmic Rays ◽  
The Standard Model

AbstractThe studied conjecture is that ultra high energy cosmic rays (UHECRs) are hypothetical Planck neutrinos arising in the decay of the protons falling onto the gravastar. The proton is assumed to decay at the Planck scale into positron and four Planck neutrinos. The supermassive black holes inside active galactic nuclei, while interpreted as gravastars, are considered as UHECR sources. The scattering of the Planck neutrinos by the proton at the Planck scale is considered. The Planck neutrinos contribution to the CR events may explain the CR spectrum from 5 × 1018 eV to 1020 eV. The muon number in the Planck neutrinos-initiated shower is estimated to be larger by a factor of 3/2 in comparison with the standard model that is consistent with the observational data.

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