Constraints on temperature-dependent CPT-violating electron-positron mass asymmetry b0(T) = α T² from BBN abundances of 4He, D, and Neff give α ≳ 10^{-6} GeV^{-1} for keV-scale effects at BBN.
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We calculate the baryon asymmetry of the Universe resulting from the combination of higher-dimensional Lorentz-noninvariant CPT-odd operators and dimension five operators that induce the majorana mass for neutrinos. The strength of CPT-violating dimension five operators capable of producing the observed value of baryon abundance is directly related to neutrino masses and found to be in the trans-Planckian range 10^{-24}-10^{-22} GeV^{-1}. Confronting it with observational tests of Lorentz symmetry, we find that this range of Lorentz/CPT violation is strongly disfavored by the combination of the low-energy constraints and astrophysical data.
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Temperature-Dependent CPT Violation: Constraints from Big Bang Nucleosynthesis
Constraints on temperature-dependent CPT-violating electron-positron mass asymmetry b0(T) = α T² from BBN abundances of 4He, D, and Neff give α ≳ 10^{-6} GeV^{-1} for keV-scale effects at BBN.