Difference between revisions of "April 12, 2019"

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Alex and I have settled on an ideal way to deal with the photometric redshift uncertainties on the RedMaPPer (RM) cluster data. The plan is to divide everything into fairly small redshift slices, corresponding to around 30 Mpc. For each slice, I'll make a projected number density map with the CMASS galaxies. (They have very low redshift uncertainties so they are essentially guaranteed to truly exist in that slice.) For every RM cluster, the catalog provides not only the calculated mean photo-z but also the probability distribution of photo-z. Therefore, for each redshift slice, I'll take every RedMaPPer cluster that has any probability of being in that slice (including those whose mean photo-z falls in another slice), and run these through COOP to get the orientation vector for each cluster. For example, if a cluster's photo-z probability extends over the z=.2 to .21 slice, the z=.21 to .22 slice, and the z=.22 to .23 slice, I will run this cluster with the orientation map for each of those bins and get 3 orientations out. Finally, I'll write my own stacking code which, for a single redshift slice of 30Mpc, stacks all the clusters that could possibly exist somewhere in that slice, orients them with the imported COOP orientations, and weights each cluster by the probability that it exists in that slice. (That probability is the area under the photo-z curve within that slice). With this method, we can do oriented stacks for reasonably small redshift slices and fully account for the uncertainties in the photometric redshifts of clusters.
 
Alex and I have settled on an ideal way to deal with the photometric redshift uncertainties on the RedMaPPer (RM) cluster data. The plan is to divide everything into fairly small redshift slices, corresponding to around 30 Mpc. For each slice, I'll make a projected number density map with the CMASS galaxies. (They have very low redshift uncertainties so they are essentially guaranteed to truly exist in that slice.) For every RM cluster, the catalog provides not only the calculated mean photo-z but also the probability distribution of photo-z. Therefore, for each redshift slice, I'll take every RedMaPPer cluster that has any probability of being in that slice (including those whose mean photo-z falls in another slice), and run these through COOP to get the orientation vector for each cluster. For example, if a cluster's photo-z probability extends over the z=.2 to .21 slice, the z=.21 to .22 slice, and the z=.22 to .23 slice, I will run this cluster with the orientation map for each of those bins and get 3 orientations out. Finally, I'll write my own stacking code which, for a single redshift slice of 30Mpc, stacks all the clusters that could possibly exist somewhere in that slice, orients them with the imported COOP orientations, and weights each cluster by the probability that it exists in that slice. (That probability is the area under the photo-z curve within that slice). With this method, we can do oriented stacks for reasonably small redshift slices and fully account for the uncertainties in the photometric redshifts of clusters.
  
However, re-writing and re-organizing my code to do this will be a long enough task that I won't be able to do it by the end of 1501. For the rest of the 1501 time period, I'll simply take slices of 100 comoving Mpc, make number density maps with all the CMASS galaxies in those slices, and assume that the RM clusters' photo-zs are accurate.
+
However, re-writing and re-organizing my code to do this will be a long enough task that I probably won't be able to do it by the end of 1501. For now, I'll simply take slices of 100 comoving Mpc, make number density maps with all the CMASS galaxies in those slices, and assume that the RM clusters' photo-zs are accurate.
  
The CMASS sample is chosen to have mostly constant mass. The stellar mass is shown in this figure, taken from ___. According to this paper ___, the halo mass is related to the stellar mass by ___. I am matching the
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== Numbers of Objects ==
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For 100 Mpc slices, these are the amount of RedMaPPer (RM) clusters and CMASS galaxies in each slice which are also within the ACT region:
  
== Numbers ==
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[[File:Cls and gals histogram v3.png]]
I want to put these numbers all down in one place so they're easy to find for future reference.
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[[File:Zbin histogram.png]]
For 100 Mpc slices, the amount of DES Redmapper clusters in each slice which overlap within the ACT region (and are at a sufficient distance from the edge of the ACT map) are:
 
  
432 to 532 Mpc: z = 0.100 to 0.124, 230 clusters,
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== Example Plots of CMASS Sample ==
 
 
532 to 632 Mpc: z = 0.124 to 0.148, 199 clusters,
 
 
 
632 to 732 Mpc: z = 0.148 to 0.173, 300 clusters,
 
 
 
732 to 832 Mpc: z = 0.173 to 0.197, 320 clusters,
 
 
 
832 to 932 Mpc: z = 0.197 to 0.222, 488 clusters,
 
 
 
932 to 1032 Mpc: z = 0.222 to 0.248, 702 clusters,
 
 
 
1032 to 1132 Mpc: z = 0.248 to 0.274, 725 clusters, 
 
 
 
1132 to 1232 Mpc: z = 0.274 to 0.300, 781 clusters,
 
 
 
1232 to 1332 Mpc: z = 0.300 to 0.327, 726 clusters,
 
 
 
1332 to 1432 Mpc: z = 0.327 to 0.354, 750
 
 
 
1432 to 1532 Mpc: z = 0.354 to 0.381, 1062
 
 
 
1532 to 1632 Mpc: z = 0.381 to 0.409, 1058
 
 
 
1632 to 1732 Mpc: z = 0.409 to 0.438, 1295
 
 
 
1732 to 1832 Mpc: z = 0.438 to 0.467, 1327
 
 
 
1832 to 1932 Mpc: z = 0.467 to 0.496, 1541
 
 
 
1932 to 2032 Mpc: z = 0.496 to 0.526, 1548
 
 
 
2032 to 2132 Mpc: z = 0.526 to 0.556, 1714
 
 
 
2132 to 2232 Mpc: z = 0.556 to 0.588, 2136
 
 
 
2232 to 2332 Mpc: z = 0.588 to 0.619, 1958
 
 
 
2332 to 2432 Mpc: z = 0.619 to 0.652, 1314
 
 
 
2432 to 2532 Mpc: z = 0.652 to 0.684, 478
 
 
 
2532 to 2632 Mpc: z = 0.684 to 0.718, 115
 
 
 
2632 to 2732 Mpc: z = 0.718 to 0.752, 28
 
 
 
2732 to 2832 Mpc: z = 0.752 to 0.787, 2
 
 
 
In the same redshift slices, these are the numbers of CMASS galaxies in the catalog I'm using:
 
 
 
 
 
 
 
1133 to 1233 Mpc: z = 0.274 to 0.300, 785
 
  
1233 to 1333 Mpc: z = 0.300 to 0.327, 799
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As you can see above, the most populated bin in the DES sample is at z~0.57. As an example, I've plotted the galaxies and clusters for this redshift slice. I'm including more sky coverage for the galaxies because I want them to cover the edge clusters.
  
1333 to 1433 Mpc: z = 0.327 to 0.354, 923
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[[File:Zpt57 cls and gals v3.png]]
  
1433 to 1533 Mpc: z = 0.354 to 0.382, 1238
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Next, I make a Healpix Nside=2048 map where I put a '1' down in every pixel where there's a galaxy from the CMASS sample. Then I smooth this map with a 25' Gaussian beam. Here is the resulting smoothed number-density map for this redshift slice.
  
1533 to 1633 Mpc: z = 0.382 to 0.409, 2320
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[[File:CMASS z pt556topt588 smooth25arcminv2.png]]
  
1633 to 1733 Mpc: z = 0.409 to 0.438, 6374
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To my eye, this looks like the galaxies are showing real large-scale-structure, but I think we might need to be careful given what the entire CMASS sample looks like:
  
1733 to 1833 Mpc: z = 0.438 to 0.467, 19099
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[[File:Full sample plot.png]]
  
1833 to 1933 Mpc: z = 0.467 to 0.496, 30985
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In some areas where the coverage isn't as dense, it looks like there are lines of galaxies. Maybe the survey scanned in that direction; I'll have to look more into that. I think the effect of this should be cancelled out when we subtract a stack on random points, but it's something to keep in mind.
  
1933 to 2033 Mpc: z = 0.496 to 0.526, 34288
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== Matching with Simulations ==
  
2033 to 2133 Mpc: z = 0.526 to 0.557, 33187
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To match Peak Patch halos with the DES clusters, I'm taking the top n most massive clusters from the Peak Patch run for each redshift slice, where n is the number of DES clusters in that redshift slice.
  
2133 to 2233 Mpc: z = 0.557 to 0.588, 31055
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The BOSS CMASS sample is chosen to have approximately constant mass, as shown in this histogram taken from Maraston et al 2013 ([https://arxiv.org/pdf/1207.6114.pdf]).
 
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[[File:CMASS masses.png|500px]]
2233 to 2333 Mpc: z = 0.588 to 0.619, 25108
 
 
 
2333 to 2433 Mpc: z = 0.619 to 0.652, 17305
 
 
 
2433 to 2533 Mpc: z = 0.652 to 0.685, 11283
 
 
 
2533 to 2633 Mpc: z = 0.685 to 0.718, 6649
 
 
 
2633 to 2733 Mpc: z = 0.718 to 0.753, 3474
 
 
 
2733 to 2833 Mpc: z = 0.753 to 0.788, 1573
 
 
 
== Example Plots of CMASS Sample ==
 
  
When I divide the DES Redmapper sample into slices of 100Mpc each, the
+
Alex had suggested that, rather than populating the simulation halos with central and satellite galaxies and matching those to the CMASS stellar mass, it might be better to find an estimate for the CMASS halo mass and use Peak Patch halos with that mass. According to this study ([https://arxiv.org/pdf/1811.04934.pdf]), the log halo mass at the CMASS average log stellar mass of 11.4 M_sun is 12.79 M_sun. Therefore I am finding Peak patch halos around that mass, and matching the number in each redshift slice to the numbers in the CMASS sample.

Latest revision as of 18:01, 24 April 2019

April Updates

Status of the Project

Alex and I have settled on an ideal way to deal with the photometric redshift uncertainties on the RedMaPPer (RM) cluster data. The plan is to divide everything into fairly small redshift slices, corresponding to around 30 Mpc. For each slice, I'll make a projected number density map with the CMASS galaxies. (They have very low redshift uncertainties so they are essentially guaranteed to truly exist in that slice.) For every RM cluster, the catalog provides not only the calculated mean photo-z but also the probability distribution of photo-z. Therefore, for each redshift slice, I'll take every RedMaPPer cluster that has any probability of being in that slice (including those whose mean photo-z falls in another slice), and run these through COOP to get the orientation vector for each cluster. For example, if a cluster's photo-z probability extends over the z=.2 to .21 slice, the z=.21 to .22 slice, and the z=.22 to .23 slice, I will run this cluster with the orientation map for each of those bins and get 3 orientations out. Finally, I'll write my own stacking code which, for a single redshift slice of 30Mpc, stacks all the clusters that could possibly exist somewhere in that slice, orients them with the imported COOP orientations, and weights each cluster by the probability that it exists in that slice. (That probability is the area under the photo-z curve within that slice). With this method, we can do oriented stacks for reasonably small redshift slices and fully account for the uncertainties in the photometric redshifts of clusters.

However, re-writing and re-organizing my code to do this will be a long enough task that I probably won't be able to do it by the end of 1501. For now, I'll simply take slices of 100 comoving Mpc, make number density maps with all the CMASS galaxies in those slices, and assume that the RM clusters' photo-zs are accurate.

Numbers of Objects

For 100 Mpc slices, these are the amount of RedMaPPer (RM) clusters and CMASS galaxies in each slice which are also within the ACT region:

Cls and gals histogram v3.png Zbin histogram.png

Example Plots of CMASS Sample

As you can see above, the most populated bin in the DES sample is at z~0.57. As an example, I've plotted the galaxies and clusters for this redshift slice. I'm including more sky coverage for the galaxies because I want them to cover the edge clusters.

Zpt57 cls and gals v3.png

Next, I make a Healpix Nside=2048 map where I put a '1' down in every pixel where there's a galaxy from the CMASS sample. Then I smooth this map with a 25' Gaussian beam. Here is the resulting smoothed number-density map for this redshift slice.

CMASS z pt556topt588 smooth25arcminv2.png

To my eye, this looks like the galaxies are showing real large-scale-structure, but I think we might need to be careful given what the entire CMASS sample looks like:

Full sample plot.png

In some areas where the coverage isn't as dense, it looks like there are lines of galaxies. Maybe the survey scanned in that direction; I'll have to look more into that. I think the effect of this should be cancelled out when we subtract a stack on random points, but it's something to keep in mind.

Matching with Simulations

To match Peak Patch halos with the DES clusters, I'm taking the top n most massive clusters from the Peak Patch run for each redshift slice, where n is the number of DES clusters in that redshift slice.

The BOSS CMASS sample is chosen to have approximately constant mass, as shown in this histogram taken from Maraston et al 2013 ([1]). CMASS masses.png

Alex had suggested that, rather than populating the simulation halos with central and satellite galaxies and matching those to the CMASS stellar mass, it might be better to find an estimate for the CMASS halo mass and use Peak Patch halos with that mass. According to this study ([2]), the log halo mass at the CMASS average log stellar mass of 11.4 M_sun is 12.79 M_sun. Therefore I am finding Peak patch halos around that mass, and matching the number in each redshift slice to the numbers in the CMASS sample.