Journal
PHYSICAL REVIEW D
Volume 82, Issue 12, Pages -Publisher
AMER PHYSICAL SOC
DOI: 10.1103/PhysRevD.82.121302
Keywords
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Funding
- JSPS [22-7477, 22340056, 21740177, 22012004, 21840028]
- Nagoya University
- Ministry of Education, Culture, Sports, Science and Technology of Japan [467]
- Grants-in-Aid for Scientific Research [21840028, 22012004, 10J07477, 21740177] Funding Source: KAKEN
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We calculate the cosmic microwave background bispectrum of vector modes induced from primordial magnetic fields. We take into account the full angular dependence of the bispectrum and discuss the amplitude and also the shape of the bispectrum in l space. In the squeezed limit as l(1) = 1(2) >> l(3), we estimate a typical values of the normalized reduced bispectrum as l(1)(l(1) + 1)l(3)(l(3) + 1)|b(l1l2l3)| similar to 2 x 10(-19), for the strength of the primordial magnetic field smoothed on 1 Mpc scale B-1 Mpc = 4.7 nG assuming a nearly scale-invariant spectrum of magnetic fields. We find that a constraint on the magnetic field strength will be roughly estimated as B-1 Mpc < 10 nG, if PLANCK places a limit on the nonlinearity parameter of local-type configuration as |f(NL)(local)| < 5.
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