Abstract
We investigate constraints on Lorentz invariance
violation in the neutrino sector from a joint analysis of
big bang nucleosynthesis and the cosmic microwave background. The effect of Lorentz invariance violation during
the epoch of big bang nucleosynthesis changes the predicted
helium-4 abundance, which influences the power spectrum
of the cosmic microwave background at the recombination
epoch. In combination with the latest measurement of the
primordial helium-4 abundance, the Planck 2015 data of the
cosmic microwave background anisotropies give a strong
constraint on the deformation parameter since adding the primordial helium measurement breaks the degeneracy between
the deformation parameter and the physical dark matter density.
DOI:10.1140/epjc/s10052-017-4959-6
https://link.springer.com/content/pdf/10.1140%2Fepjc%2Fs10052-017-4959-6.pdf