Is it possible to estimate the Higgs mass from the CMB power spectrum?
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ELEMENTARY PARTICLES AND FIELDS Theory
Is It Possible to Estimate the Higgs Mass from the CMB Power Spectrum?* A. B. Arbuzov1)** , B. M. Barbashov1), A. Borowiec2) , V. N. Pervushin1)*** , S. A. Shuvalov3), and A. F. Zakharov4) Received October 14, 2008
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 DOI: 10.1134/S1063778809050019
1. INTRODUCTION The observational data [1] on the Cosmic Microwave Background (CMB) power spectrum show several clear peaks at the orbital momenta 1 220, 2 546, 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 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 concepts. Moreover, this ΛCDM explanation contradicts the vacuum postulate. Since the CMB power spectrum is one of the highlights of the present-day Cosmology with farreaching implications and more precise observations ∗
The text was submitted by the authors in English. Joint Institute for Nuclear Research, Dubna, Russia. 2) Institute of Theoretical Physics, University of Wrocław, Poland. 3) Russian Peoples Friendship University, Moscow, Russia. 4) Institute of Theoretical and Experimental Physics, Moscow, Russia. ** E-mail: [email protected] *** E-mail: [email protected] 1)
are planned for near future [1], the detailed investigation of any possible flaw of the standard theory deserves attention and a public discussion. In this paper we try to describe the CMB power spectrum in accord with the well-established Wigner’s theory of the relativistic state classification, where any relativistic particle in quantum field theory can be associated with a unitary irreducible representation of the Poincare´ group given in a definite frame with a positive energy. The cosmological scale factor, its local excitations used for description of the CMB power spectrum, and Poincare´ group transformations can be naturally included in the Wigner cla
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