Astronomy and Astrophysics – Astrophysics
Scientific paper
2008-06-12
Phys.Rev.D78:045010,2008
Astronomy and Astrophysics
Astrophysics
11 pages, 8 figures
Scientific paper
10.1103/PhysRevD.78.045010
If a primordial magnetic field (PMF) is present during photon decoupling and afterward, a finite neutrino mass can affect all modes of the CMB. In this work, we expand on earlier studies of the scalar mode effects by constructing the vector and tensor mode equations in the presence of massive neutrinos and a PMF. We compute the power spectrum of the various modes in an illustrative example and find that the neutrino mass can significantly affect the vector and tensor modes when a PMF exists, while the effects are negligible for no PMF. The most prominent result of the present analysis is the behavior of the EE component of the tensor mode at low multipoles. For massive neutrinos the EE mode can become comparable to the observed primary anisotropy. Therefore, if and when the EE mode power spectrum is measured at low multipoles the possibility exists to place a strong constraint on the sum of the neutrino masses.
Ichiki Kiyotomo
Kajino Toshitaka
Kojima Kazuhiko
Mathews Grant J.
Yamazaki Dai G.
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