Minoru Biyajima, Takuya Mizoguchi
We obtain the limits (i.e., bounded values) of the dimensionless chemical potential \mu, the Sunyaev-Zeldovich (SZ) effect y, and distortion of the space-dimension \varepsilon by the Monte Carlo (MC) analysis of the parameter set (T, d=3+\varepsilon, \mu, and y) in cosmic microwave data, assuming positive SZ effect y(>0). In this analysis, the magnitude of the space-dimension d including distortion of the space-dimension \varepsilon is defined by d=3+\varepsilon. The limits of \mu and y were determined as |\mu| < 9* 10^{-5} (2\sigma) (\mu = (-3.9+-2.6)* 10^{-5} (\sigma)), |y| < 5* 10^{-6} (2\sigma) (y = (2.0+- 1.4)* 10^{-6} (\sigma)), while the distortion of the space-dimension was |\varepsilon| < 6* 10^{-5} (2\sigma) (\varepsilon = (-0.78+-2.50)* 10^{-5} (\sigma)). Among those three estimated limits we observe the following order: |\mu| >~ |\varepsilon| > |y|. The estimated limit of |y| < 5* 10^{-6} appears to be related to re-ionization processes occurring at redshift z_{ri} ~ 10.
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http://arxiv.org/abs/1305.7494
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