Cosmological constraints from a joint analysis of cosmic microwave
  background and spectroscopic tracers of the large-scale structure
  The standard model of cosmology, {\Lambda}CDM, is the simplest model that
matches the current observations, but it relies on two hypothetical components,
to wit, dark matter and dark energy. Future galaxy surveys and cosmic microwave
background (CMB) experiments will independently shed light on these components,
but a joint analysis that includes cross-correlations will be necessary to
extract as much information as possible from the observations. In this paper,
we carry out a multi-probe analysis based on pseudo-spectra and test it on
publicly available data sets. We use CMB temperature anisotropies and CMB
lensing observations from Planck as well as the spectroscopic galaxy and quasar
samples of SDSS-III/BOSS, taking advantage of the large areas covered by these
surveys. We build a likelihood to simultaneously analyse the auto and cross
spectra of CMB lensing and tracer overdensity maps before running Monte-Carlo
Markov Chains (MCMC) to assess the constraining power of the combined analysis.
We then add the CMB temperature anisotropies likelihood and obtain constraints
on cosmological parameters ($H_0$, $\omega_b$, $\omega_c$, ${\ln10^{10}A_s}$,
$n_s$ and $z_{re}$) and galaxy biases. We demonstrate that the joint analysis
can additionally constrain the total mass of neutrinos ${\Sigma m_{\nu}}$ as
well as the dark energy equation of state $w$ at once (for a total of eight
cosmological parameters), which is impossible with either of the data sets
considered separately. Finally, we discuss limitations of the analysis related
to, e.g., the theoretical precision of the models, particularly in the
non-linear regime.
