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Constraints on Lorentz Violation in Neutrino Sector for Cosmology

Discussing the implications of deformed dispersion relations and Boltzmann equations on cosmological constraints regarding neutrino oscillations and their influence on the CMB and Large Scale Structure. Comparison with particle physics constraints.

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Constraints on Lorentz Violation in Neutrino Sector for Cosmology

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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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