Wide-angle effects in multi-tracer power spectra with Doppler corrections

Abstract We examine the computation of wide-angle corrections to galaxy power spectrum including redshift-space distortions and relativistic Doppler corrections, also multiple tracers with differing clustering, magnification evolution biases. show that inclusion contribution, as well radial derivative terms, are crucial for a consistent expansion large-scale surveys, both in single multi-tracer cases. give first time cross-power associated magnification-galaxy cross correlation, which has been shown be new way test general relativity. In full-sky spectrum, allows integrals over products spherical Bessel functions computed analytically distributional functions, then relatively simple integrate over. complete discussion derivation finite part divergent form ∫ 0 ∞ d rr n j ℓ ( kr ) ℓ' qr ), necessary compute when window function is included. This facilitates novel method integrating analytic against pair functions.