- #1
fab13
- 318
- 6
- TL;DR Summary
- I would like to assess the importance of spectroscopic Poisson noise compared to the cosmological contribution of Dark matter
Hello,
I have the demonstration below. A population represents the spectroscopic proble and B the photometric probe. I would like to know if, from the equation (13), the correlation coeffcient is closed to 0 or to 1 since I don't know if ##\mathcal{N}_{\ell}^{A}## Poisson noise of spectroscopic dominates or not the cosmological part ##b_A\,C_{\ell}^{DM}## with ##b_A## the cosmological bias of spectroscopic probe.
In this document, the authot states that cosmological part ##b_A\,C_{\ell}^{DM}## is very larger compared to ##\mathcal{N}_{\ell}^{A}## : this causes the correlation coefficient to be closed to 1 but I have doubts.
Any help is welcome
I have the demonstration below. A population represents the spectroscopic proble and B the photometric probe. I would like to know if, from the equation (13), the correlation coeffcient is closed to 0 or to 1 since I don't know if ##\mathcal{N}_{\ell}^{A}## Poisson noise of spectroscopic dominates or not the cosmological part ##b_A\,C_{\ell}^{DM}## with ##b_A## the cosmological bias of spectroscopic probe.
In this document, the authot states that cosmological part ##b_A\,C_{\ell}^{DM}## is very larger compared to ##\mathcal{N}_{\ell}^{A}## : this causes the correlation coefficient to be closed to 1 but I have doubts.
Any help is welcome