CMB anisotropies generated by a stochastic background of primordial magnetic fields with non-zero helicity

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Published 13 October 2015 • © 2015 IOP Publishing Ltd and Sissa Medialab srl
, , Citation Mario Ballardini et al JCAP10(2015)031 DOI 10.1088/1475-7516/2015/10/031

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Author affiliations

1 DIFA, Dipartimento di Fisica e Astronomia, Alma Mater Studiorum, Università degli Studi di Bologna, viale Berti Pichat 6/2, I-40127 Bologna, Italy

2 INAF/IASF-BO, Istituto di Astrofisica Spaziale e Fisica Cosmica di Bologna, via Gobetti 101, I-40129 Bologna, Italy

3 INFN, Sezione di Bologna, via Irnerio 46, I-40126 Bologna, Italy

Dates

  1. Received 17 August 2015
  2. Accepted 21 August 2015
  3. Published

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1475-7516/2015/10/031

Abstract

We consider the impact of a stochastic background of primordial magnetic fields with non-vanishing helicity on CMB anisotropies in temperature and polarization. We compute the exact expressions for the scalar, vector and tensor part of the energy-momentum tensor including the helical contribution, by assuming a power-law dependence for the spectra and a comoving cutoff which mimics the damping due to viscosity. We also compute the parity-odd correlator between the helical and non-helical contribution which generate the TB and EB cross-correlation in the CMB pattern. We finally show the impact of including the helical term on the power spectra of CMB anisotropies up to multipoles with ℓ ∼ Script O(103).

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10.1088/1475-7516/2015/10/031