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Physical Review D

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CMB constraint on radion evolution in the brane world scenario

K. C. Chan^* and M.-C. Chu^†

Department of Physics and Institute of Theoretical Physics, The Chinese University of Hong Kong, Hong Kong SAR, People’s Republic of China

^*kcchan@phy.cuhk.edu.hk
^†mcchu@phy.cuhk.edu.hk

Phys. Rev. D 76, 043525 – Published 29 August, 2007

DOI: https://doi.org/10.1103/PhysRevD.76.043525

Abstract

In many versions of the brane model, the modulus field of extra dimensions, the radion, could have cosmological evolution, which induces a variation of the Higgs vacuum expectation value, $⟨ H ⟩$ , resulting in a cosmological variation of the electron mass $m_{e}$ . The formation of cosmic microwave background (CMB) anisotropies is thus affected, causing changes both in the peak positions and amplitudes in the CMB power spectra. Using the three-year Wilkinson Microwave Anisotropy Probe (WMAP) CMB data, with the Hubble parameter $H_{0}$ fixed to be the Hubble Space Telescope (HST) result $72 km s^{- 1} {Mpc}^{- 1}$ , we obtain a constraint on $ρ$ , the ratio of the value of $⟨ H ⟩$ at CMB recombination to its present value, to be [0.97, 1.02].

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