_{wmap}.cfm .

The parameter are from the three-year WMAP oberservation for a ΛCDM model. I ran CAMB with these parameters (see below in the params.ini attachment).

I plotted both power spectra in one picture to see the differences and there was a scale dependent difference.

This plot shows the common logarithm (log10) of matter power spectrum with respect to the common logarithm of the wavenumber in untis of h Mpc^(−1).

The next plot shows the matter power spectrum with respect to the wavenumber in the same units as above in a certain range:

The question I have here is, why are there these differences and how can I get CAMB to the WMAP data? (perhaps wrong settings, modifying the code, etc.)

Another difference I realized was between the CAMB online simulation (I will it call CAMB online) from http://lambda.gsfc.nasa.gov/toolbox/tb_camb_form.cfm .

The following picture shows the same difference as above again the common logarithm of the matter power spectrum with respect to the common logarithm of the wavenumber:

Here it is the same question as above. Why are here the same differences with three-year WMAP data for a ΛCDM model?

I noticed also, that there differences between CAMB and CAMB online in computing sigma8 and sigma8 is dependent on the k_per_logint setting. There are also differences if the k_per_logint is the same in CAMB and CAMB online.

This picture shows what I mean.

Here common logarithm of the matter power spectrum with respect to the common logarthim of the wavenumber.

Here the matter power spetrum with respect to the wavenumber.

If I choose in CAMB k_per_logint = 0 and in CAMB online k_per_logint = 1 because you cannot set it to zero in CAMB online you will get exactly the same shown in the plot below.

Here common logarithm of the matter power spectrum with respect to the common logarthim of the wavenumber.

Here the matter power spetrum with respect to the wavenumber.

Why are there these differences between the CAMB and CAMB online? It seemed to me, that the k_per_logint = 0 case in CAMB is the k_per_logint = 1 case in CAMB online.

Hope someone can help me - thanks in advance!

Cheers,

Holger

This is the params.ini file with the settings I had chosen.

#Parameters for CAMB

#output_root is prefixed to output file names

output_root = test

#What to do

get_scalar_cls = T

get_vector_cls = F

get_tensor_cls = T

get_transfer = T

#if do_lensing then scalar_output_file contains additional columns of l

^{4}C

_{l}

^{pp}and l

^{3}C

_{l}

^{pT}

#where p is the projected potential. Output lensed CMB Cls (without tensors) are in lensed_output_file below.

do_lensing = F

# 0: linear, 1: non-linear matter power (HALOFIT), 2: non-linear CMB lensing (HALOFIT)

do_nonlinear = 0

#Maximum multipole and k*eta.

# Note that C

_{ls}near l_max are inaccurate (about 5%), go to 50 more than you need

# Lensed power spectra are computed to l_max_scalar−250 where accurate at %-level

# For high accuracy lensed spectra set l_max_scalar = (l you need) + 500

# To get accurate lensed BB need to have l_max_scalar>2000, k_eta_max_scalar > 10000

# Otherwise k_eta_max_scalar=2*l_max_scalar usually suffices

l_max_scalar = 2000

k_eta_max_scalar = 4000

# Tensor settings should be less than or equal to the above

l_max_tensor = 1500

k_eta_max_tensor = 3000

#Main cosmological parameters, neutrino masses are assumed degenerate

# If use_phyical set phyiscal densities in baryone, CDM and neutrinos + Omega_k

use_physical = T

ombh2 = 0.02229

omch2 = 0.1054

omnuh2 = 0

omk = 0

hubble = 73.2

#effective equation of state parameter for dark energy, assumed constant

w = −1

#constant comoving sound speed of the dark energy (1=quintessence)

cs2_lam = 1

#if use_physical = F set parameters as here

#omega_baryon = 0.0462

#omega_cdm = 0.2538

#omega_lambda = 0.7

#omega_neutrino = 0

#massless_neutrinos is the effective number (for QED + non-instantaneous decoupling)

temp_cmb = 2.726

helium_fraction = 0.24

massless_neutrinos = 3.04

massive_neutrinos = 0

#Neutrino mass splittings

nu_mass_eigenstates = 1

#nu_mass_degeneracies = 0 sets nu_mass_degeneracies = massive_neutrinos

#otherwise should be an array

#e.g. for 3 neutrinos with 2 non-degenerate eigenstates, nu_mass_degeneracies = 2 1

nu_mass_degeneracies = 0

#Fraction of total omega_nu h

^{2}accounted for by each eigenstate, eg. 0.5 0.5

nu_mass_fractions = 1

#Reionization (assumed sharp), ignored unless reionization = T

reionization = T

re_use_optical_depth = T

re_optical_depth = 0.089

#If re_use_optical_depth = F then use following, otherwise ignored

re_redshift = 11

re_ionization_frac = 1

#Initial power spectrum, amplitude, spectral index and running

initial_power_num = 1

scalar_amp(1) = 2.3e−9

scalar_spectral_index(1) = 0.958

scalar_nrun(1) = 0

tensor_spectral_index(1) = 0

#ratio is that of the initial tens/scal power spectrum amplitudes

initial_ratio(1) = 1

#note vector modes use the scalar settings above

#Initial scalar perturbation mode (adiabatic=1, CDM iso=2, Baryon iso=3,

# neutrino density iso =4, neutrino velocity iso = 5)

initial_condition = 1

#If above is zero, use modes in the following (totally correlated) proportions

#Note: we assume all modes have the same initial power spectrum

initial_vector = −1 0 0 0 0

#For vector modes: 0 for regular (neutrino vorticity mode), 1 for magnetic

vector_mode = 0

#Normalization

COBE_normalize = F

##CMB_outputscale scales the output Cls

#To get MuK

^{2}set realistic initial amplitude (e.g. scalar_amp(1) = 2.3e−9 above) and

#otherwise for dimensionless transfer functions set scalar_amp(1)=1 and use

#CMB_outputscale = 1

CMB_outputscale = 7.4311e12

#Transfer function settings, transfer_kmax=0.5 is enough for sigma_8

#transfer_k

_{per_logint}=0 sets sensible non-even sampling;

#transfer_k

_{per_logint}=5 samples fixed spacing in log-k

transfer_high_precision = T

transfer_kmax = 2

transfer_k

_{per_logint}= 0

transfer_num_redshifts = 1

transfer_redshift(1) = 0

transfer_filename(1) = transfer_out.dat

#Matter power spectrum output against k/h in units of h

^{−3}Mpc

^{3}

transfer_matterpower(1) = matterpower.dat

#Output files not produced if blank. make camb_fits to use use the FITS setting.

scalar_output_file = scalCls.dat

vector_output_file = vecCls.dat

tensor_output_file = tensCls.dat

total_output_file = totCls.dat

lensed_output_file = lensedCls.dat

FITS_filename = scalCls.fits

##Optional parameters to control the computation speed,accuracy and feedback

#If feedback_level > 0 print out useful information computed about the model

feedback_level = 1

# 1: curved correlation function, 2: flat correlation function, 3: inaccurate harmonic method

lensing_method = 1

accurate_BB = F

#Recombination calculation: 1: RECFAST, 2: RECFAST+astro-ph/0501672 corrections

recombination = 2

#massive_nu_approx: 0 - integrate distribution function

# 1 - switch to series in velocity weight once non-relativistic

# 2 - use fast approximate scheme (CMB only- accurate for light neutrinos)

# 3 - intelligently use the best accurate method

massive_nu_approx = 0

#Whether you are bothered about polarization.

accurate_polarization = T

#Whether you are bothered about percent accuracy on EE from reionization

accurate_reionization = F

#whether or not to include neutrinos in the tensor evolution equations

do_tensor_neutrinos = F

#Whether to turn off small-scale late time radiation hierarchies (save time,v. accurate)

do_late_rad_truncation = T

#Computation parameters

#if number_of_threads=0 assigned automatically

number_of_threads = 0

#Default scalar accuracy is about 0.3% (except lensed BB).

#For 0.1%-level try accuracy_boost=2, l_accuracy_boost=2.

#Increase accuracy_boost to decrease time steps, use more k values, etc.

#Decrease to speed up at cost of worse accuracy. Suggest 0.8 to 3.

accuracy_boost = 2

#Larger to keep more terms in the hierarchy evolution.

l_accuracy_boost = 2

#Increase to use more C

_{l}values for interpolation.

#Increasing a bit will improve the polarization accuracy at l up to 200 -

#interpolation errors may be up to 3%

#Decrease to speed up non-flat models a bit

l_sample_boost = 1