Difference between revisions of "N eff Forecasting Comparison with DRAFT ILC"

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===Results from Joel===
 
===Results from Joel===
Joel's fisher forecasting code was used in the WAFTT study ([[Noise models and sky fractions for WAFTT]], [[WAFTT results part 2]], [[WAFTT results part 3]]).
+
Joel's fisher forecasting code was used in the WAFTT study ([[Noise models and sky fractions for WAFTT]], [[WAFTT results part 2]], [[WAFTT results part 3]])
 +
 
 +
We assume l_min = 30 for TT, TE, and EE spectra, and l_max = 5000 for all CMB-S4 spectra.  Planck is included in addition to CMB-S4 in a few non-trivial ways.  First, Planck is added with inverse variance weighting to the the CMB-S4 ILC, which provides a significant reduction in noise on large angular scales (due to atmospheric contamination of CMB-S4 observations).  Second, a prior of \sigma(\tau) = 0.007, derived from Planck EE measurements is included.  Third, Planck is assumed to cover an additional patch of sky not observed by CMB-S4, up to a maximum of 60 percent of the sky (this is a slightly conservative choice, and for the scan strategies considered here typically means no additional sky coverage from Planck).  Last, Planck measurements of large angular scale temperature is included.  Specifically, CMB-S4 is assumed to have l_min = 30 for T and E, but Planck provides measurements of TT between l=2 and l=30 across 80 percent of the sky.
 +
 
 +
The code computes CMB spectra using CAMB.  Cosmological parameters, fiducial values, and step sizes are shown in the table below.
 +
 
 +
{| class="wikitable"
 +
|-
 +
! scope="col"| Parameter
 +
! scope="col"| Fiducial Value
 +
! scope="col"| Step Size
 +
|-
 +
! scope="row"| omega_c_h2
 +
| 0.1197
 +
| 0.0030
 +
|-
 +
! scope="row"| omega_b_h2
 +
| 0.0222
 +
| 0.0008
 +
|-
 +
! scope="row"| N_eff
 +
| 3.046
 +
| 0.080
 +
|-
 +
! scope="row"| A_s
 +
| 2.196e-9
 +
| 0.1e-9
 +
|-
 +
! scope="row"| n_s
 +
| 0.9655
 +
| 0.010
 +
|-
 +
! scope="row"| tau
 +
| 0.060
 +
| 0.020
 +
|-
 +
! scope="row"| theta_s
 +
| 0.010409
 +
| 0.000050
 +
|-
 +
! scope="row"| mnu
 +
| 0.06
 +
| 0.02
 +
|-
 +
|}
 +
   
 +
The primordial helium abundance Y_p is set to be consistent with the predictions of standard Big Bang Nucleosynthesis (such that Y_p is a function of N_eff and \omega_b h^2).  As will be shown below fixing Y_p to a constant or marginalizing over a freely varying Y_p increases errors on N_eff.
 +
 
 +
Lensing reconstruction noise is estimated with the minimum variance combination of the quadratic estimators, including the improvement which comes from iterative EB reconstruction.  Delensing is performed using the prescription of [https://arxiv.org/abs/1609.08143 CMB Delensing Beyond the B Modes].
 +
 
 +
Information from DESI BAO is included, though it has little impact on N_eff errors.  BAO plays a significant role in the errors for neutrino mass, however.
  
 
{| class="wikitable"
 
{| class="wikitable"
Line 34: Line 84:
 
| 0.0272
 
| 0.0272
 
|-
 
|-
! scope="row"| galaxy0
+
! scope="row"| nogalmask0
 +
| 0.0326
 +
| 0.0315
 +
| 0.0295
 +
|-
 +
! scope="row"| nogalmask1
 +
| 0.0311
 +
| 0.0301
 +
| 0.0281
 +
|-
 +
! scope="row"| nogalmask2
 +
| 0.0297
 +
| 0.0287
 +
| 0.0268
 +
|-
 +
! scope="row"| nogalmask3
 
| 0.0273
 
| 0.0273
 
| 0.0264
 
| 0.0264
 
| 0.0247
 
| 0.0247
 +
|-
 +
|}
 +
 +
 +
We will now give results for a few different forecasting choices for the sake of comparisons with other codes.
 +
 +
No lensing reconstruction:
 +
{| class="wikitable"
 +
|-
 +
! scope="col"| Mask
 +
! scope="col"| Lensed
 +
! scope="col"| Delensed
 +
! scope="col"| Unlensed
 +
|-
 +
! scope="row"| galmask0
 +
| 0.0420
 +
| 0.0385
 +
| 0.0347
 +
|-
 +
! scope="row"| galmask1
 +
| 0.0400
 +
| 0.0367
 +
| 0.0332
 +
|-
 +
! scope="row"| galmask2
 +
| 0.0384
 +
| 0.0353
 +
| 0.0318
 +
|-
 +
! scope="row"| galmask3
 +
| 0.0365
 +
| 0.0335
 +
| 0.0300
 +
|-
 +
! scope="row"| nogalmask3
 +
| 0.0330
 +
| 0.0304
 +
| 0.0275
 +
|-
 +
|}
 +
 +
 +
With l_max^TT = 3000:
 +
{| class="wikitable"
 +
|-
 +
! scope="col"| Mask
 +
! scope="col"| Lensed
 +
! scope="col"| Delensed
 +
! scope="col"| Unlensed
 +
|-
 +
! scope="row"| galmask0
 +
| 0.0357
 +
| 0.0347
 +
| 0.0333
 +
|-
 +
! scope="row"| galmask1
 +
| 0.0340
 +
| 0.0331
 +
| 0.0318
 +
|-
 +
! scope="row"| galmask2
 +
| 0.0327
 +
| 0.0318
 +
| 0.0305
 +
|-
 +
! scope="row"| galmask3
 +
| 0.0311
 +
| 0.0302
 +
| 0.0289
 +
|-
 +
! scope="row"| nogalmask3
 +
| 0.0284
 +
| 0.0276
 +
| 0.0266
 +
|-
 +
|}
 +
 +
Excluding DESI BAO changes N_eff errors only in the last decimal place (at the level of 0.0001).
 +
 +
Fixing Y_p to a constant (rather than setting by BBN consistency):
 +
{| class="wikitable"
 +
|-
 +
! scope="col"| Mask
 +
! scope="col"| Lensed
 +
! scope="col"| Delensed
 +
! scope="col"| Unlensed
 +
|-
 +
! scope="row"| galmask0
 +
| 0.0425
 +
| 0.0409
 +
| 0.0383
 +
|-
 +
! scope="row"| galmask1
 +
| 0.0405
 +
| 0.0390
 +
| 0.0365
 +
|-
 +
! scope="row"| galmask2
 +
| 0.0389
 +
| 0.0375
 +
| 0.0350
 +
|-
 +
! scope="row"| galmask3
 +
| 0.0370
 +
| 0.0356
 +
| 0.0332
 +
|-
 +
! scope="row"| nogalmask3
 +
| 0.0336
 +
| 0.0323
 +
| 0.0302
 +
|-
 +
|}
 +
 +
Marginalizing over Y_p:
 +
{| class="wikitable"
 +
|-
 +
! scope="col"| Mask
 +
! scope="col"| Lensed
 +
! scope="col"| Delensed
 +
! scope="col"| Unlensed
 +
|-
 +
! scope="row"| galmask0
 +
| 0.0967
 +
| 0.0866
 +
| 0.0804
 +
|-
 +
! scope="row"| galmask1
 +
| 0.0929
 +
| 0.0832
 +
| 0.0772
 +
|-
 +
! scope="row"| galmask2
 +
| 0.0890
 +
| 0.0797
 +
| 0.0739
 +
|-
 +
! scope="row"| galmask3
 +
| 0.0831
 +
| 0.0747
 +
| 0.0692
 +
|-
 +
! scope="row"| nogalmask3
 +
| 0.0792
 +
| 0.0704
 +
| 0.0656
 +
|-
 +
|}
 +
 +
 +
 +
 +
---------
 +
 +
=== Comparison of sigma(Neff) for S4-wide baseline configuration===
 +
 +
The baseline configuration contains 2 LF (27/39 GHz) tubes, 12 MF (93/145 GHz) tubes, and 5 HF (225/278 GHz) tubes. In the table below, S4 corresponds to S4-only CMB TTEETE; +Planck includes Planck data + tau prior along with the first column; + lensing includes S4 lensing power spectrum a+ BAO includes DESI BAO data along with other columns.
 +
 +
{| class="wikitable"
 +
|-
 +
! rowspan="2" | Fsky !! colspan="4" | Lensed: No galaxy (with galaxy) !! colspan="4" |Delensed (Alens = 0.3): No galaxy (with galaxy) !! colspan="4" |Unlensed: No galaxy (with galaxy) || rowspan="2" | Author
 +
|-
 +
| S4 (TTTEEE) || +Planck || + Lensing || + BAO || S4 (TTTEEE) || +Planck || + Lensing || + BAO || S4 (TTTEEE) || +Planck || + Lensing || + BAO
 +
|-
 +
| rowspan="3"| 0.53 (Mask 0)
 +
| 0.0456 (0.0456) || 0.0444 (0.0444) || 0.0368 (0.0375) || 0.0346 (0.0355) || 0.0387 (0.0387) || 0.0376 (0.0376) || 0.0361 (0.0364) || 0.0345 (0.0349) || 0.0368 (0.0368) || 0.0350 (0.0350) || 0.0331 (0.0334) || 0.0311 (0.0314) || style="text-align: center;" | BW
 +
|-
 +
| style="color: green" | 0.0401 (0.0429) || style="color: green" | 0.0394 (0.0420) || style="color: green" | 0.0326 (0.0346) || style="color: green" | 0.0326 (0.0346) || style="color: green" | 0.0368 (0.0393) || style="color: green" | 0.0363 (0.0385) || style="color: green" | 0.0315 (0.0335) || style="color: green" | 0.0315 (0.0335) || style="color: green" | 0.0340 (0.0359) || style="color: green" | 0.0327 (0.0347) || style="color: green" | 0.0295 (0.0314) || style="color: green" | 0.0295 (0.0314) || style="text-align: center;" | JM
 +
|-
 +
| style="color: red" |  0.0417 (withG) || style="color: red" | 0.0413 (withG) || style="color: red" | 0.0345 (withG) || style="color: red" | SR_L3 (withG) || style="color: red" |  0.0375 (withG) || style="color: red" | 0.0370 (withG) || style="color: red" | 0.0346 (withG) || style="color: red" | SR_DL3 (withG) || style="color: red" |  0.0341 (withG) || style="color: red" | 0.0386 (withG) || style="color: red" | 0.0306 (withG) || style="color: red" | SR_UL3 (withG) || style="text-align: center;" | SR
 +
|----
 +
| rowspan="3"| 0.59 (Mask 1)
 +
| 0.0432 (0.0432) || 0.0427 (0.0427) || 0.0351 (0.0359) || 0.0332 (0.0341) || 0.0367 (0.0367) || 0.0360 (0.0360) || 0.0346 (0.0349) || 0.0331 (0.0335) || 0.0349 (0.0349) || 0.0335 (0.0335) || 0.0317 (0.0320) || 0.0298 (0.0302) || style="text-align: center;" | BW
 +
|-
 +
| style="color: green" | 0.0380 (0.0404) || style="color: green" | 0.0377 (0.0400) || style="color: green" | 0.0311 (0.0329) || style="color: green" | 0.0311 (0.0329) || style="color: green" | 0.0349 (0.0371) || style="color: green" | 0.0347 (0.0367) || style="color: green" | 0.0301 (0.0319) || style="color: green" | 0.0301 (0.0319) || style="color: green" | 0.0323 (0.0339) || style="color: green" | 0.0315 (0.0332) || style="color: green" | 0.0281 (0.0299) || style="color: green" | 0.0281 (0.0299) || style="text-align: center;" | JM
 +
|-
 +
| style="color: red" |  0.0396 (withG) || style="color: red" | 0.0392 (withG) || style="color: red" | 0.0327 (withG) || style="color: red" | SR_L3 (withG) || style="color: red" |  0.0356 (withG) || style="color: red" | 0.0351 (withG) || style="color: red" | 0.0328 (withG) || style="color: red" | SR_DL3 (withG) || style="color: red" |  0.0324 (withG) || style="color: red" | 0.0366 (withG) || style="color: red" | 0.0290 (withG) || style="color: red" | SR_UL3 (withG) || style="text-align: center;" | SR
 +
|-
 +
| rowspan="3"| 0.65 (Mask 2)
 +
| 0.0411 (0.0411) || 0.0407 (0.0407) || 0.0335 (0.0344) || 0.0317 (0.0327) || 0.0350 (0.0350) || 0.0343 (0.0343) || 0.0330 (0.0333) || 0.0316 (0.0320) || 0.0332 (0.0332) || 0.0319 (0.0319) || 0.0302 (0.0305) || 0.0285 (0.0289) || style="text-align: center;" | BW
 +
|-
 +
| style="color: green" | 0.0362 (0.0388) || style="color: green" | 0.0360 (0.0384) || style="color: green" | 0.0297 (0.0317) || style="color: green" | 0.0297 (0.0317) || style="color: green" | 0.0332 (0.0371) || style="color: green" | 0.0331 (0.0353) || style="color: green" | 0.0287 (0.0307) || style="color: green" | 0.0287 (0.0307) || style="color: green" | 0.0307 (0.0325) || style="color: green" | 0.0300 (0.0318) || style="color: green" | 0.0268 (0.0287) || style="color: green" | 0.0268 (0.0287) || style="text-align: center;" | JM
 +
|-
 +
| style="color: red" |  0.0377 (withG) || style="color: red" | 0.0373 (withG) || style="color: red" | 0.0311 (withG) || style="color: red" | SR_L3 (withG) || style="color: red" |  0.0339 (withG) || style="color: red" | 0.0334 (withG) || style="color: red" | 0.0312 (withG) || style="color: red" | SR_DL3 (withG) || style="color: red" |  0.0308 (withG) || style="color: red" | 0.0348 (withG) || style="color: red" | 0.0276 (withG) || style="color: red" | SR_UL3 (withG) || style="text-align: center;" | SR
 +
|-
 +
| rowspan="3"| 0.77 (Mask 3)
 +
| 0.0377 (0.0377) || 0.0374 (0.0374) || 0.0307 (0.0319) || 0.0292 (0.0306) || 0.0321 (0.0321) || 0.0316 (0.0316) || 0.0303 (0.0307) || 0.0291 (0.0296) || 0.0305 (0.0305) || 0.0293 (0.0293) || 0.0277 (0.0281) || 0.0263 (0.0268) || style="text-align: center;" | BW
 +
|-
 +
| style="color: green" | 0.0332 (0.0369) || style="color: green" | 0.0331 (0.0365) || style="color: green" | 0.0273 (0.0301) || style="color: green" | 0.0273 (0.0301) || style="color: green" | 0.0305 (0.0339) || style="color: green" | 0.0305 (0.0335) || style="color: green" | 0.0264 (0.0292) || style="color: green" | 0.0264 (0.0292) || style="color: green" | 0.0282 (0.0307) || style="color: green" | 0.0276 (0.0300) || style="color: green" | 0.0247 (0.0272) || style="color: green" | 0.0247 (0.0272) || style="text-align: center;" | JM
 +
|-
 +
| style="color: red" |  0.0345 (withG) || style="color: red" | 0.0342 (withG) || style="color: red" | 0.0285 (withG) || style="color: red" | SR_L3 (withG) || style="color: red" |  0.0311 (withG) || style="color: red" | 0.0306 (withG) || style="color: red" | 0.0286 (withG) || style="color: red" | SR_DL3 (withG) || style="color: red" |  0.0283 (withG) || style="color: red" | 0.0319 (withG) || style="color: red" | 0.0253 (withG) || style="color: red" | SR_UL3 (withG) || style="text-align: center;" | SR
 +
|-
 +
|}
 +
 +
BW preliminary so far.
 +
 +
JM rows: S4-Only numbers have m_nu fixed, while others marginalize over m_nu.  l_max^TT = 5000 for all results, which seems to account for discrepancy with BW and SR.
 +
 +
[[File:JM_BW_gal0.png | 400px]]
 +
[[File:JM_SR_gal0.png | 400px]]
 +
[[File:BW_SR_gal0.png | 400px]]
 +
 +
=== Comparison of sigma(Neff) between S4-wide baseline and other configurations ===
 +
 +
These are computed for Delensed case (Alens = 0.3) and contains information from S4 + Planck + lensing + BAO
 +
{| class="wikitable"
 +
|-
 +
! Fsky !! Baseline 2 LF/12 MF/5 HF: No (with) galaxy !! 1 LF/12 MF/6 HF: No (with) galaxy !! 1 LF/13 MF/5 HF: No (with) galaxy !! 1 LF/14 MF/4 HF: No (with) galaxy !! 2 LF/13 MF/4 HF: No (with) galaxy !! 3 LF/12 MF/4 HF: No (with) galaxy!! Authour
 +
|-
 +
|-
 +
| rowspan="3"| 0.53 (Mask 0)
 +
| 0.0345 (0.0349) || 0.0345 (withG) || 0.0344 (withG) || 0.0343 (withG) || 0.0344 (withG) || 0.0345 (withG) || style="text-align: center;" | BW
 +
|-
 +
| 0.0315 (0.0335) || 0.0315 (withG) || 0.0314 (withG) || 0.0313 (withG) || 0.0315 (withG) || 0.0317 (withG)|| style="text-align: center;" | JM
 +
|-
 +
| SR_DL_b (withG) || SR_DL_c1 (withG) || SR_DL_c2 (withG) || SR_DL_c3 (withG) || SR_DL_c4 (withG) || SR_DL_c5 (withG)|| style="text-align: center;" | SR
 +
|-
 +
| rowspan="3"| 0.59 (Mask 1)
 +
| 0.0331 (0.0335) || 0.0330 (withG) || 0.0330 (withG) || 0.0329 (withG) || 0.033 (withG) || 0.0331 (withG) || style="text-align: center;" | BW
 +
|-
 +
| 0.0301 (0.0319) || 0.0300 (withG) || 0.0300 (withG) || 0.0299 (withG) || 0.0301 (withG) || 0.0302 (withG)|| style="text-align: center;" | JM
 +
|-
 +
| SR_DL_b (withG) || SR_DL_c1 (withG) || SR_DL_c2 (withG) || SR_DL_c3 (withG) || SR_DL_c4 (withG) || SR_DL_c5 (withG)|| style="text-align: center;" | SR
 +
|-
 +
| rowspan="3"| 0.65 (Mask 2)
 +
| 0.0316 (0.0320) || 0.0316 (withG) || 0.0315 (withG) || 0.0315 (withG) || 0.0315 (withG) || 0.0316 (withG) || style="text-align: center;" | BW
 +
|-
 +
| 0.0287 (0.0307) || 0.0287 (withG) || 0.0286 (withG) || 0.0286 (withG) || 0.0287 (withG) || 0.0289 (withG)|| style="text-align: center;" | JM
 +
|-
 +
| SR_DL_b (withG) || SR_DL_c1 (withG) || SR_DL_c2 (withG) || SR_DL_c3 (withG) || SR_DL_c4 (withG) || SR_DL_c5 (withG)|| style="text-align: center;" | SR
 +
|-
 +
| rowspan="3"| 0.77 (Mask 3)
 +
| 0.0291 (0.0296) || 0.0291 (withG) || 0.0290 (withG) || 0.0290 (withG) || 0.0291 (withG) || 0.0291 (withG) || style="text-align: center;" | BW
 +
|-
 +
| 0.0264 (0.0292) || 0.0264 (withG) || 0.0264 (withG) || 0.0263 (withG) || 0.0264 (withG) || 0.0266 (withG)|| style="text-align: center;" | JM
 +
|-
 +
| SR_DL_b (withG) || SR_DL_c1 (withG) || SR_DL_c2 (withG) || SR_DL_c3 (withG) || SR_DL_c4 (withG) || SR_DL_c5 (withG)|| style="text-align: center;" | SR
 
|-
 
|-
 
|}
 
|}

Latest revision as of 02:51, 11 June 2020

Overview

This posting compares Fisher forecasts for N_eff using the DRAFT ILC tool.


Results from Joel

Joel's fisher forecasting code was used in the WAFTT study (Noise models and sky fractions for WAFTT, WAFTT results part 2, WAFTT results part 3).

We assume l_min = 30 for TT, TE, and EE spectra, and l_max = 5000 for all CMB-S4 spectra. Planck is included in addition to CMB-S4 in a few non-trivial ways. First, Planck is added with inverse variance weighting to the the CMB-S4 ILC, which provides a significant reduction in noise on large angular scales (due to atmospheric contamination of CMB-S4 observations). Second, a prior of \sigma(\tau) = 0.007, derived from Planck EE measurements is included. Third, Planck is assumed to cover an additional patch of sky not observed by CMB-S4, up to a maximum of 60 percent of the sky (this is a slightly conservative choice, and for the scan strategies considered here typically means no additional sky coverage from Planck). Last, Planck measurements of large angular scale temperature is included. Specifically, CMB-S4 is assumed to have l_min = 30 for T and E, but Planck provides measurements of TT between l=2 and l=30 across 80 percent of the sky.

The code computes CMB spectra using CAMB. Cosmological parameters, fiducial values, and step sizes are shown in the table below.

Parameter Fiducial Value Step Size
omega_c_h2 0.1197 0.0030
omega_b_h2 0.0222 0.0008
N_eff 3.046 0.080
A_s 2.196e-9 0.1e-9
n_s 0.9655 0.010
tau 0.060 0.020
theta_s 0.010409 0.000050
mnu 0.06 0.02

The primordial helium abundance Y_p is set to be consistent with the predictions of standard Big Bang Nucleosynthesis (such that Y_p is a function of N_eff and \omega_b h^2). As will be shown below fixing Y_p to a constant or marginalizing over a freely varying Y_p increases errors on N_eff.

Lensing reconstruction noise is estimated with the minimum variance combination of the quadratic estimators, including the improvement which comes from iterative EB reconstruction. Delensing is performed using the prescription of CMB Delensing Beyond the B Modes.

Information from DESI BAO is included, though it has little impact on N_eff errors. BAO plays a significant role in the errors for neutrino mass, however.

Mask Lensed Delensed Unlensed
galmask0 0.0346 0.0335 0.0314
galmask1 0.0329 0.0319 0.0299
galmask2 0.0317 0.0307 0.0287
galmask3 0.0301 0.0292 0.0272
nogalmask0 0.0326 0.0315 0.0295
nogalmask1 0.0311 0.0301 0.0281
nogalmask2 0.0297 0.0287 0.0268
nogalmask3 0.0273 0.0264 0.0247


We will now give results for a few different forecasting choices for the sake of comparisons with other codes.

No lensing reconstruction:

Mask Lensed Delensed Unlensed
galmask0 0.0420 0.0385 0.0347
galmask1 0.0400 0.0367 0.0332
galmask2 0.0384 0.0353 0.0318
galmask3 0.0365 0.0335 0.0300
nogalmask3 0.0330 0.0304 0.0275


With l_max^TT = 3000:

Mask Lensed Delensed Unlensed
galmask0 0.0357 0.0347 0.0333
galmask1 0.0340 0.0331 0.0318
galmask2 0.0327 0.0318 0.0305
galmask3 0.0311 0.0302 0.0289
nogalmask3 0.0284 0.0276 0.0266

Excluding DESI BAO changes N_eff errors only in the last decimal place (at the level of 0.0001).

Fixing Y_p to a constant (rather than setting by BBN consistency):

Mask Lensed Delensed Unlensed
galmask0 0.0425 0.0409 0.0383
galmask1 0.0405 0.0390 0.0365
galmask2 0.0389 0.0375 0.0350
galmask3 0.0370 0.0356 0.0332
nogalmask3 0.0336 0.0323 0.0302

Marginalizing over Y_p:

Mask Lensed Delensed Unlensed
galmask0 0.0967 0.0866 0.0804
galmask1 0.0929 0.0832 0.0772
galmask2 0.0890 0.0797 0.0739
galmask3 0.0831 0.0747 0.0692
nogalmask3 0.0792 0.0704 0.0656




Comparison of sigma(Neff) for S4-wide baseline configuration

The baseline configuration contains 2 LF (27/39 GHz) tubes, 12 MF (93/145 GHz) tubes, and 5 HF (225/278 GHz) tubes. In the table below, S4 corresponds to S4-only CMB TTEETE; +Planck includes Planck data + tau prior along with the first column; + lensing includes S4 lensing power spectrum a+ BAO includes DESI BAO data along with other columns.

Fsky Lensed: No galaxy (with galaxy) Delensed (Alens = 0.3): No galaxy (with galaxy) Unlensed: No galaxy (with galaxy) Author
S4 (TTTEEE) +Planck + Lensing + BAO S4 (TTTEEE) +Planck + Lensing + BAO S4 (TTTEEE) +Planck + Lensing + BAO
0.53 (Mask 0) 0.0456 (0.0456) 0.0444 (0.0444) 0.0368 (0.0375) 0.0346 (0.0355) 0.0387 (0.0387) 0.0376 (0.0376) 0.0361 (0.0364) 0.0345 (0.0349) 0.0368 (0.0368) 0.0350 (0.0350) 0.0331 (0.0334) 0.0311 (0.0314) BW
0.0401 (0.0429) 0.0394 (0.0420) 0.0326 (0.0346) 0.0326 (0.0346) 0.0368 (0.0393) 0.0363 (0.0385) 0.0315 (0.0335) 0.0315 (0.0335) 0.0340 (0.0359) 0.0327 (0.0347) 0.0295 (0.0314) 0.0295 (0.0314) JM
0.0417 (withG) 0.0413 (withG) 0.0345 (withG) SR_L3 (withG) 0.0375 (withG) 0.0370 (withG) 0.0346 (withG) SR_DL3 (withG) 0.0341 (withG) 0.0386 (withG) 0.0306 (withG) SR_UL3 (withG) SR
0.59 (Mask 1) 0.0432 (0.0432) 0.0427 (0.0427) 0.0351 (0.0359) 0.0332 (0.0341) 0.0367 (0.0367) 0.0360 (0.0360) 0.0346 (0.0349) 0.0331 (0.0335) 0.0349 (0.0349) 0.0335 (0.0335) 0.0317 (0.0320) 0.0298 (0.0302) BW
0.0380 (0.0404) 0.0377 (0.0400) 0.0311 (0.0329) 0.0311 (0.0329) 0.0349 (0.0371) 0.0347 (0.0367) 0.0301 (0.0319) 0.0301 (0.0319) 0.0323 (0.0339) 0.0315 (0.0332) 0.0281 (0.0299) 0.0281 (0.0299) JM
0.0396 (withG) 0.0392 (withG) 0.0327 (withG) SR_L3 (withG) 0.0356 (withG) 0.0351 (withG) 0.0328 (withG) SR_DL3 (withG) 0.0324 (withG) 0.0366 (withG) 0.0290 (withG) SR_UL3 (withG) SR
0.65 (Mask 2) 0.0411 (0.0411) 0.0407 (0.0407) 0.0335 (0.0344) 0.0317 (0.0327) 0.0350 (0.0350) 0.0343 (0.0343) 0.0330 (0.0333) 0.0316 (0.0320) 0.0332 (0.0332) 0.0319 (0.0319) 0.0302 (0.0305) 0.0285 (0.0289) BW
0.0362 (0.0388) 0.0360 (0.0384) 0.0297 (0.0317) 0.0297 (0.0317) 0.0332 (0.0371) 0.0331 (0.0353) 0.0287 (0.0307) 0.0287 (0.0307) 0.0307 (0.0325) 0.0300 (0.0318) 0.0268 (0.0287) 0.0268 (0.0287) JM
0.0377 (withG) 0.0373 (withG) 0.0311 (withG) SR_L3 (withG) 0.0339 (withG) 0.0334 (withG) 0.0312 (withG) SR_DL3 (withG) 0.0308 (withG) 0.0348 (withG) 0.0276 (withG) SR_UL3 (withG) SR
0.77 (Mask 3) 0.0377 (0.0377) 0.0374 (0.0374) 0.0307 (0.0319) 0.0292 (0.0306) 0.0321 (0.0321) 0.0316 (0.0316) 0.0303 (0.0307) 0.0291 (0.0296) 0.0305 (0.0305) 0.0293 (0.0293) 0.0277 (0.0281) 0.0263 (0.0268) BW
0.0332 (0.0369) 0.0331 (0.0365) 0.0273 (0.0301) 0.0273 (0.0301) 0.0305 (0.0339) 0.0305 (0.0335) 0.0264 (0.0292) 0.0264 (0.0292) 0.0282 (0.0307) 0.0276 (0.0300) 0.0247 (0.0272) 0.0247 (0.0272) JM
0.0345 (withG) 0.0342 (withG) 0.0285 (withG) SR_L3 (withG) 0.0311 (withG) 0.0306 (withG) 0.0286 (withG) SR_DL3 (withG) 0.0283 (withG) 0.0319 (withG) 0.0253 (withG) SR_UL3 (withG) SR

BW preliminary so far.

JM rows: S4-Only numbers have m_nu fixed, while others marginalize over m_nu. l_max^TT = 5000 for all results, which seems to account for discrepancy with BW and SR.

JM BW gal0.png JM SR gal0.png BW SR gal0.png

Comparison of sigma(Neff) between S4-wide baseline and other configurations

These are computed for Delensed case (Alens = 0.3) and contains information from S4 + Planck + lensing + BAO

Fsky Baseline 2 LF/12 MF/5 HF: No (with) galaxy 1 LF/12 MF/6 HF: No (with) galaxy 1 LF/13 MF/5 HF: No (with) galaxy 1 LF/14 MF/4 HF: No (with) galaxy 2 LF/13 MF/4 HF: No (with) galaxy 3 LF/12 MF/4 HF: No (with) galaxy Authour
0.53 (Mask 0) 0.0345 (0.0349) 0.0345 (withG) 0.0344 (withG) 0.0343 (withG) 0.0344 (withG) 0.0345 (withG) BW
0.0315 (0.0335) 0.0315 (withG) 0.0314 (withG) 0.0313 (withG) 0.0315 (withG) 0.0317 (withG) JM
SR_DL_b (withG) SR_DL_c1 (withG) SR_DL_c2 (withG) SR_DL_c3 (withG) SR_DL_c4 (withG) SR_DL_c5 (withG) SR
0.59 (Mask 1) 0.0331 (0.0335) 0.0330 (withG) 0.0330 (withG) 0.0329 (withG) 0.033 (withG) 0.0331 (withG) BW
0.0301 (0.0319) 0.0300 (withG) 0.0300 (withG) 0.0299 (withG) 0.0301 (withG) 0.0302 (withG) JM
SR_DL_b (withG) SR_DL_c1 (withG) SR_DL_c2 (withG) SR_DL_c3 (withG) SR_DL_c4 (withG) SR_DL_c5 (withG) SR
0.65 (Mask 2) 0.0316 (0.0320) 0.0316 (withG) 0.0315 (withG) 0.0315 (withG) 0.0315 (withG) 0.0316 (withG) BW
0.0287 (0.0307) 0.0287 (withG) 0.0286 (withG) 0.0286 (withG) 0.0287 (withG) 0.0289 (withG) JM
SR_DL_b (withG) SR_DL_c1 (withG) SR_DL_c2 (withG) SR_DL_c3 (withG) SR_DL_c4 (withG) SR_DL_c5 (withG) SR
0.77 (Mask 3) 0.0291 (0.0296) 0.0291 (withG) 0.0290 (withG) 0.0290 (withG) 0.0291 (withG) 0.0291 (withG) BW
0.0264 (0.0292) 0.0264 (withG) 0.0264 (withG) 0.0263 (withG) 0.0264 (withG) 0.0266 (withG) JM
SR_DL_b (withG) SR_DL_c1 (withG) SR_DL_c2 (withG) SR_DL_c3 (withG) SR_DL_c4 (withG) SR_DL_c5 (withG) SR