Measuring Bias via the Consistency Relations of the Large Scale Structure

Understand

Consistency Relations (CR) for the Large Scale Structure are exact equalities between correlation functions of different order.

• These relations descend from the equivalence principle and hold for primordial perturbations generated by single-field models of inflation.
• They are not affected by nonlinearities and hold also for biased tracers and in redshift space.
• We show that Baryonic Acoustic Oscillations (BAO) in the bispectrum (BS) in the squeezed limit are suppressed with respect to those in the power spectrum (PS) by a coefficient that depends on the BS configuration and on the bias parameter (and, in redshift space, also on the growth rate).