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 onZKG, Q-G Huang, R-G Cai, Y-Z Zhang, PRD in press [arXiv:1206.5588]
motivations
neutrino oscillations neutrinos influence the CMB (massive or massless) neutrinos influence the LSS
the deformed dispersion relation
the scalar perturbations of the FLRW metric in the synchronous gauge
the action in the first-order formalism
the Lagrangian in the synchronous gauge
the number density, energy density and pressure
the perturbed energy density, pressure, energy flux and shear stress
the Boltzmann equation
the initial conditions
cosmological constraints
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.
Thanks!