2021
DOI: 10.1088/1475-7516/2021/03/a01
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Addendum: Towards a precision calculation of the effective number of neutrinos N eff in the Standard Model: the QED equation of state

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Cited by 15 publications
(36 citation statements)
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“…with the energy density in photons ρ γ and active plus sterile neutrinos (ρ ν + ρ s ). They can be computed from the integrated distribution functions, and for negligible contributions from the sterile we recover the standard value N 3ν eff = 3.043−3.045 [78,[80][81][82]84]. On the other hand, if the mixing parameters are sufficiently large, there is time for neutrino oscillations to fully bring the fourth neutrino to equilibrium with the active flavors.…”
Section: Light Sterile Neutrinos In Cosmologysupporting
confidence: 54%
See 1 more Smart Citation
“…with the energy density in photons ρ γ and active plus sterile neutrinos (ρ ν + ρ s ). They can be computed from the integrated distribution functions, and for negligible contributions from the sterile we recover the standard value N 3ν eff = 3.043−3.045 [78,[80][81][82]84]. On the other hand, if the mixing parameters are sufficiently large, there is time for neutrino oscillations to fully bring the fourth neutrino to equilibrium with the active flavors.…”
Section: Light Sterile Neutrinos In Cosmologysupporting
confidence: 54%
“…The final momentum distribution function for the active neutrinos is very close, but not exactly equal, to a Fermi-Dirac shape with the neutrino temperature T ν (see e.g. [78][79][80][81][82]).…”
Section: Light Sterile Neutrinos In Cosmologymentioning
confidence: 84%
“…3 Given that the reaction rate which keeps the neutrinos in thermal equilibrium scales as T 5 , it is a good approximation to assume that neutrino decoupling happens instantaneously when T 5 /H reaches the value it has at neutrino decoupling only considering the SM degrees of freedom, i.e. T 5 νd /H(T νd ) 1.62 × 10 −10 GeV 4 taking T SM νd 1.4 MeV [37,38]. After decoupling, the neutrino temperature T ν redshifts as 1/R.…”
Section: Evolution Of the Decaying Particle φmentioning
confidence: 99%
“…The excess over 3 encodes the effective heating of neutrinos during e + e − annihilation. The remaining theoretical uncertainty comes from approximations made in the treatment of finite temperature and/or higher-loop QED effects [330], non-perturbative effects, etc. The deviations of N eff from 3 reflects the fact that the active neutrinos are not described by an exact Fermi-Dirac distribution with T std ν = (4/11) 1/3 T .…”
Section: Number Of Neutrinosmentioning
confidence: 99%