Abstract:
We consider a quantum corrected inflation scenario driven by a generic GUT or Standard Model type particle model whose scalar field playing the role of an inflaton has a strong non-minimal coupling to gravity. We show that currently widely accepted bounds on the Higgs mass falsify the suggestion of the paper (where the role of radiative corrections was underestimated) that the Standard Model Higgs boson can serve as the inflaton. However, if the Higgs mass could be raised to $\sim 230$ GeV, then the Standard Model could generate an inflationary scenario with the spectral index of the primordial perturbation spectrum $n_s\simeq 0.935$ (barely matching present observational data) and the very low tensor-to-scalar perturbation ratio $r\simeq 0.0006$.

Abstract:
For a narrow band of values of the top quark and Higgs boson masses, the Standard Model Higgs potential develops a false minimum at energies of about $10^{16}$ GeV, where primordial Inflation could have started in a cold metastable state. A graceful exit to a radiation-dominated era is provided, e.g., by scalar-tensor gravity models. We pointed out that if Inflation happened in this false minimum, the Higgs boson mass has to be in the range $126.0 \pm 3.5$ GeV, where ATLAS and CMS subsequently reported excesses of events. Here we show that for these values of the Higgs boson mass, the inflationary gravitational wave background has be discovered with a tensor-to-scalar ratio at hand of future experiments. We suggest that combining cosmological observations with measurements of the top quark and Higgs boson masses represents a further test of the hypothesis that the Standard Model false minimum was the source of Inflation in the Universe.

Abstract:
We consider the inflation model generated by the Standard Model (SM) Higgs boson having a strong non-minimal curvature coupling. This model suggests the range of the Higgs mass $135.6\; {\rm GeV} \lesssim M_H\lesssim 184.5\;{\rm GeV}$ entirely determined by the lower WMAP bound on the CMB spectral index. This result is based on the renormalization group analysis of quantum effects which make the SM phenomenology sensitive to the current cosmological data and thus suggest CMB measurements as a SM test complementary to the LHC program. We show naturalness of the gradient and curvature expansion in this model in a conventional perturbation theory range of SM. The origin of initial conditions for inflation within the quantum cosmology concept of the tunneling state of the Universe is also considered. In this way a complete cosmological scenario is obtained, which embraces the formation of initial conditions for the inflationary background in the form of a sharp probability peak in the distribution of the inflaton field and the ongoing generation of the CMB spectrum on this background.

Abstract:
We consider the phenomenology of the Standard Model intermediate mass Higgs boson, $71 GeV < M_h < 2 M_W$. The motivation for a Higgs boson in this mass region is emphasized. The branching ratios for the Higgs boson, including electroweak and QCD radiative corrections, are presented, along with production cross sections for $e^+e^-, \mu^+\mu^-, \gamma\gamma$, and hadronic interactions. Search strategies are surveyed briefly.

Abstract:
An updated global analysis within the Standard Model (SM) of all relevant electroweak precision and Higgs boson search data is presented with special emphasis on the implications for the Higgs boson mass, M_H. Included are, in particular, the most recent results on the top quark and W boson masses, updated and significantly shifted constraints on the strong coupling constant, alpha_s, from tau decays and other low energy measurements such as from atomic parity violation and neutrino deep inelastic scattering. The latest results from searches for Higgs production and decay at the Tevatron are incorporated together with the older constraints from LEP 2. I find a trimodal probability distribution for M_H with a fairly narrow preferred 90% CL window, 115 GeV < M_H < 148 GeV.

Abstract:
We show that the standard-model Higgs boson mass m_h is correlated with the spectral index of density perturbation n_s in the inflation scenario with the inflaton being identified with the B-L Higgs boson. The Higgs boson mass ranges from m_h ~ 120GeV to 140GeV for n_s ~ 0.95 - 0.96. In particular, as n_s approaches to 0.96, the Higgs mass is predicted to be in the range of 125GeV to 140GeV in the case of relatively light gauginos, and 120GeV to 135GeV in the case where all SUSY particle masses are of the same order. This will be tested soon by the LHC experiment and the Planck satellite. The relation is due to the PeV-scale supersymmetry required by the inflationary dynamics. We also comment on the cosmological implications of our scenario such as non-thermal leptogenesis and dark matter.

Abstract:
Higgs boson searches are commonly considered one of the main objectives of particle physics nowadays. The latest results obtained by the CDF and D0 collaborations are presented here when searching for Higgs boson decaying into a W-boson pair, currently the most sensitive channel for masses greater than 130 GeV. The presented results are based on an integrated luminosity that ranges from 3.0 to 4.2 fb^-1. No significant excess over expected background is observed and the 95% CL limits are set for a Standard Model (SM) Higgs boson for different mass hypotheses ranging from 100 GeV to 200 GeV. The combination of CDF and D0 results is also presented, which exclude for the first time a SM Higgs boson in the 160 < mH < 170 GeV mass range.

Abstract:
An upperbound on the mass of the lightest neutral scalar Higgs boson is calculated in an extended version of the minimal supersymmetric standard model that contains an additional Higgs singlet. We integrate the renormalization group equations of the model, and impose low energy boundary conditions consistent with present experimental results, and ultra-violet conditions following from triviality. Radiative corrections induced by a large top quark Yukawa coupling are included in our analysis, and we find the allowed values for the mass of the Higgs boson as a function of the mass of the top quark. Typically, for a top quark mass $m_t=150\ GeV$, the upper bound on the Higgs boson mass is about $25 \ GeV$ higher than in the minimal model.

Abstract:
We derive analytic formulas for the radiatively corrected mass of the scalar Higgs boson in the framework of the minimal supersymmetric standard model (MSSM). Since the scalar-top-quark mass in our analysis include terms proportional to the gauge couplings in the 1-loop effective potential, the radiatively corrected mass of the scalar Higgs boson partially contains the gauge boson contributions. At the 1-loop level, the upper bound on the lighter scalar Higgs boson mass can be increased about 20 GeV in favor of the partial contributions of the gauge bosons. Thus the improved absolute upper bound on the lighter scalar Higgs boson mass is about 150 GeV.

Abstract:
We consider the possibility to observationally differentiate the Standard Model (SM) Higgs driven inflation with non-minimal couplingto gravity from other variants of SM Higgs inflation based on the scalar field theories with non-canonical kinetic term such as Galileon-like kinetic term and kinetic term with non-minimal derivative coupling to the Einstein tensor. In order to ensure consistent results, we study the SM Higgs inflation variants by using the same method, computing the full dynamics of the background and perturbations of the Higgs field during inflation at quantum level. Assuming that all the SM Higgs inflation variants are consistent theories, we use the MCMC technique to derive constraints on the inflationnoary parameters and the Higgs boson mass from their fit to WMAP7+SN+BAO data set. We conclude that a combination of a Higgs mass measurement by the LHC and accurate determination by the PLANCK satellite of the spectral index of curvature perturbations and tensor-to-scalar ratio will enable to distinguish among these models. We also show that the consistency relations of the SM Higgs inflation variants are distinct enough to differentiate the models.