Is it possible to estimate the Higgs mass from the CMB power spectrum?

Abstract

General Relativity and Standard Model are considered as a theory of dynamical scale symmetry with definite initial data compatible with the accepted Higgs mechanism. In this theory the Early Universe behaves like a factory of electroweak bosons and Higgs scalars, and it gives a possibility to identify three peaks in the Cosmic Microwave Background power spectrum with the contributions of photonic decays and annihilation processes of primordial Higgs, W , and Z bosons in agreement with the QED coupling constant, Weinberg's angle, and Higgs' particle mass of about 118 GeV. PACS numbers: 95.30.Sf, 98.80.-k, 98.80.Es I. INTRODUCTION The observational data [1] on the Cosmic Microwave Background (CMB) power spectrum show several clear peaks at the orbital momenta ℓ 1 ≃ 220, ℓ 2 ≃ 546, ℓ 3 ≃ 800. These phenomena are explained in the ΛCDM model [2] by acoustic inhomogeneities of the scalar metric component treated as a dynamical variable. By adjusting parameters of the equations for the acoustic excitations one can provide a good fit of the observed peaks and predict other peaks with higher ℓ values, which can be found in future observations. Recall that the ΛCDM model requires the acoustic explanation of the CMB power spectrum by introduction of a dynamical scalar metric component that is absent in the Wigner classification of relativistic states [3]. The dynamical scalar metric component is introduced by the ΛCDM model without any substantial motivation and clear discussion of the reasons for introducing new

Universe as a representation of affine and conformal symmetries

“…The observational fact is that the cubic root of the ratio of the third and the second peak momenta (800/546) 1/3 = 1.136 M Z /M W in the Cosmic Microwave Background power spectrum coincides with the ratio of the Z and W masses in good agreement with the experimentally deˇned value M Z /M W = 1.134. This agreement allows us to interpret theˇrst peak (that is two times greater than the last two in accordance with the evolution equation (4.16) and the Bogoliubov transformation (7.8)) as contribution of the two-photon decay of the Higgs particle with the mass m h = 2(220/546) 1/3 M W = 118 GeV lying just in the region preferred by the results of the Standard Model parametersˇtted from the experimental data of LEP [11]. Note that the vacuum postulate in the form of the Dirac constraint of zero momentum of the local volume element (A.20) (with negative contribution into the energy constraint) forbids the Sakharov-type oscillations associated with the CMB power spectrum in the ΛCDM model [5].…”

“…It was shown that there is intensive vacuum creation of gravitons and SM bosons due to their Casimir energies at the Planck epoch in the vacuum background of the Empty Universe. The rough estimation [11] shows us that the considered approach to the GR and SM dilaton evolution can yield the vacuum creation of matter in the Universe in agreement with its present-day energy budget. The Early Universe behaves like a factory of electroweak bosons and Higgs scalars.…”

“…The SM interactions include the amplitudes M Bγγ of the gamma processes h → γγ, W + W − → γγ, ZZ → γγ and the process of the transition of double W to neutral kaon M W W →K0 (described by the triangle anomaly [11,36]) with creation from the Dirac sea of quarks and electron that form the baryon asymmetry of the Universe. The interaction Hamiltonian in Eq.…”

Conformal Hamiltonian dynamics of general relativity

“…In the suggested model, the Planck epoch coincides with the thermalization and the electroweak ones. In this case the CMB power spectrum can be explained by two gamma processes of SM bosons [24], avoiding dynamical dilaton deviations with negative energy by means of the Dirac constraint (18). We have provided a few arguments in favour that the exact evolution of the GR as a theory of spontaneous conformal symmetries breaking is related to the equations for the quantum squeezed oscillator.…”