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CMB constraints on Lorentz violation in the neutrino sector
Zong-Kuan Guo (ITP, CAS)
Weihai
August 13, 2012
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outline
• motivations• deformed dispersion relation• Boltzmann equation• cosmological constraints• remarks
This talk is based onZKG, Q-G Huang, R-G Cai, Y-Z Zhang, PRD in press [arXiv:1206.5588]
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motivations
neutrino oscillations neutrinos influence the CMB (massive or massless) neutrinos influence the LSS
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the deformed dispersion relation
the scalar perturbations of the FLRW metric in the synchronous gauge
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the action in the first-order formalism
the Lagrangian in the synchronous gauge
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the number density, energy density and pressure
the perturbed energy density, pressure, energy flux and shear stress
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the Boltzmann equation
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the initial conditions
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cosmological constraints
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remarks
Compared to particle physics experiments, cosmological observations yield much weaker constraints on the Lorentz-violation parameter in the neutrino sector.
We neglects neutrino oscillations, possible species dependence, anisotropies associated with violations of rotation symmetry, and CPT violation.
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Thanks!