Cmb constraints on lorentz violation in the neutrino sector
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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

CMB constraints on Lorentz violation in the neutrino sector

Zong-KuanGuo (ITP, CAS)

Weihai

August 13, 2012


Outline
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]


Cmb constraints on lorentz violation in the neutrino sector

  • neutrino oscillations

  • neutrinos influence the CMB (massive or massless)

  • neutrinos influence the LSS


Cmb constraints on lorentz violation in the neutrino sector

  • the scalar perturbations of the FLRW metric in the synchronous gauge


Cmb constraints on lorentz violation in the neutrino sector

  • the action in the first-order formalism

  • the Lagrangianin the synchronous gauge


Cmb constraints on lorentz violation in the neutrino sector

  • the number density, energy density and pressure

  • the perturbed energy density, pressure, energy flux and shear stress



Cmb constraints on lorentz violation in the neutrino sector

  • the initial conditions



Cmb constraints on lorentz violation in the neutrino sector

  • 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.