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2020

A precision calculation of relic neutrino decoupling

Akita, Kensuke, Yamaguchi, Masahide

Understand

We study the distortions of equilibrium spectra of relic neutrinos due to the interactions with electrons, positrons, and neutrinos in the early Universe.

We solve the integro-differential kinetic equations for the neutrino density matrix, including three-flavor oscillations and finite temperature corrections from QED up to the next-to-leading order $\mathcal{O}(e^3)$ for the first time.
In addition, the equivalent kinetic equations in the mass basis of neutrinos are directly solved, and we numerically evaluate the distortions of the neutrino spectra in the mass basis as well, which can be easily extrapolated into those for non-relativistic neutrinos in the current Universe.
In both bases, we find the same value of the effective number of neutrinos, $N_{\rm eff} = 3.044$, which parameterizes the total neutrino energy density.

Built on

S. Hanany et al
Original
1902
Earlier work this paper cites.
S. Gariazzo, P. F. de Salas and S. Pastor, JCAP 1907
Original
1905
Earlier work this paper cites.
N. Sehgal et al
Original
1906
Earlier work this paper cites.
K. Abazajian et al
Original
1907
Earlier work this paper cites.
J. J. Bennett, G. Buldgen, M. Drewes and Y. Y. Y. Wong, JCAP 2003
Original
1911
Earlier work this paper cites.
J. Froustey and C. Pitrou, Phys. Rev. D 101
Original
1912
Earlier work this paper cites.
D. A. Dicus, E. W. Kolb, A. M. Gleeson, E. C. G. Sudarshan, V. L. Teplitz and M. S. Turner, Phys. Rev. D 26
1982
Earlier work this paper cites.
D. Notzold and G. Raffelt, Nucl. Phys. B 307
1988
Earlier work this paper cites.
S. Dodelson and M. S. Turner, Phys. Rev. D 46
1992
Earlier work this paper cites.
A. D. Dolgov and M. Fukugita, Phys. Rev. D 46
1992
Earlier work this paper cites.
B. D. Fields, S. Dodelson and M. S. Turner, Phys. Rev. D 47
1993
Earlier work this paper cites.
G. Sigl and G. Raffelt, Nucl. Phys. B 406
1993
Earlier work this paper cites.
A. F. Heckler, Phys. Rev. D 49
1994
Earlier work this paper cites.
S. Hannestad and J. Madsen, Phys. Rev. D 52
1995
Earlier work this paper cites.

Similar

A. D. Dolgov, S. H. Hansen and D. V. Semikoz, Nucl. Phys. B 503
1997
Cited alongside, same era.
N. Fornengo, C. W. Kim and J. Song, Phys. Rev. D 56
1997
Cited alongside, same era.
A. D. Dolgov, S. H. Hansen and D. V. Semikoz, Nucl. Phys. B 543
1999
Cited alongside, same era.
R. E. Lopez and M. S. Turner, Phys. Rev. D 59
1999
Cited alongside, same era.
S. Esposito, G. Miele, S. Pastor, M. Peloso and O. Pisanti, Nucl. Phys. B 590
2000
Cited alongside, same era.
M. Escudero Abenza, JCAP 05
Original
2001
Cited alongside, same era.