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CMB constraints on Lorentz violation in the neutrino sector

CMB constraints on Lorentz violation in the neutrino sector . Zong-Kuan Guo ( ITP, CAS). Weihai August 13, 2012. outline. motivations deformed dispersion relation Boltzmann equation cosmological constraints remarks. This talk is based on

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CMB constraints on Lorentz violation in the neutrino sector

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  1. CMB constraints on Lorentz violation in the neutrino sector Zong-KuanGuo (ITP, CAS) Weihai August 13, 2012

  2. outline • motivations • deformed dispersion relation • Boltzmann equation • cosmological constraints • remarks This talk is based on ZKG, Q-G Huang, R-G Cai, Y-Z Zhang, PRD in press [arXiv:1206.5588]

  3. motivations • neutrino oscillations • neutrinos influence the CMB (massive or massless) • neutrinos influence the LSS

  4. the deformed dispersion relation • the scalar perturbations of the FLRW metric in the synchronous gauge

  5. the action in the first-order formalism • the Lagrangianin the synchronous gauge

  6. the number density, energy density and pressure • the perturbed energy density, pressure, energy flux and shear stress

  7. the Boltzmann equation

  8. the initial conditions

  9. cosmological constraints

  10. 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.

  11. Thanks!

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