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- W2080656295 abstract "With the standard electroweak interactions, the lowest-order coherent forward-scattering amplitudes of neutrinos in a $mathrm{CP}$-symmetric medium (such as the early Universe) are zero, and the index of refraction of a propagating neutrino can only arise from the expansion of gauge-boson propagators, from radiative corrections, and from new physics interactions. Motivated by nucleosynthesis constraints on a possible sterile neutrino (suggested by the solar-neutrino deficit and a possible 17-keV neutrino), we calculate the standard model contributions to the neutrino index of refraction in the early Universe, focusing on the period when the temperature was of the order of a few MeV. We find sizable radiative corrections to the tree-level result obtained by the expansion of the gauge-boson propagator. For ${ensuremath{nu}}_{e}+e(overline{e})ensuremath{rightarrow}{ensuremath{nu}}_{e}+e(overline{e})$ the leading-log correction is about +10%, while for ${ensuremath{nu}}_{e}+{ensuremath{nu}}_{e}({overline{ensuremath{nu}}}_{e})ensuremath{rightarrow}{ensuremath{nu}}_{e}+{ensuremath{nu}}_{e}({overline{ensuremath{nu}}}_{e})$ the correction is about +20%. Depending on the family mixing (if any), effects from different family scattering can be dominated by radiative corrections. The result for $ensuremath{nu}+ensuremath{gamma}ensuremath{rightarrow}ensuremath{nu}+ensuremath{gamma}$ is zero at the one-loop level, even if neutrinos are massive. The cancellation of infrared divergence in a coherent process is also discussed." @default.
- W2080656295 created "2016-06-24" @default.
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- W2080656295 date "1992-11-15" @default.
- W2080656295 modified "2023-09-25" @default.
- W2080656295 title "Standard model contributions to the neutrino index of refraction in the early Universe" @default.
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- W2080656295 doi "https://doi.org/10.1103/physrevd.46.4140" @default.
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