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plot_BB_detections.pro
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pro plot_BB_detections
; This makes a plot of observed B-mode power from CMB experiments with
; significant detections. Data from BICEP2+Keck October 2015,
; BICEP2+Keck/Planck January 2015, POLARBEAR, and SPTpol are included.
; The plotted BICEP2+Keck data are the CMB component from a spectral
; decomposition into CMB, dust, and synchrotron components. The plotted
; BICEP2+Keck/Planck data have had the dust foreground subtracted based
; on the measured cross-power between Planck and BICEP2+Keck. The other
; data plotted have not had any dust foreground subtraction.
; For comparison, a theoretical curve for a LCDM model with tensor-to-scalar
; ratio r=0.1 is also plotted as a solid curve. The inflationary and
; gravitational lensing components are plotted separately as dashed
; and dotted curves, respectively.
; The data are plotted to a postscript file BB_detections.ps.
; The experimental data are read from a file BB_data_2015nov_csv_format.dat,
; which should be copied to the user's local directory.
; Sources for the data and more information are given in
; http://lambda.gsfc.nasa.gov/graphics/bb_upperlimits/
; The theoretical data are read from files made by the BICEP2 team,
; from their calculations using the March 2013 version of CAMB.
; They should be copied to the user's local directory from
; http://lambda.gsfc.nasa.gov/data/suborbital/BICEP2/B2_3yr_camb_planck_lensed_uK_20140314.txt
; http://lambda.gsfc.nasa.gov/data/suborbital/BICEP2/B2_3yr_camb_planck_withB_uK_20140314.txt
; This code calls readcol.pro and associated routines from the IDL
; Astronomy User's Library, http://idlastro.gsfc.nasa.gov/
; read data from experiments with BB detections
readcol,'BB_data_2015nov_csv_format.dat',experiment,l_min,l_center,l_max,BB,sigma_BB_minus,$
sigma_bb_plus,bb_limit,format='A,I,F,I,F,F,F,F',/preserve_null,delimiter=',',skipline=3,numline=36
for i=0,n_elements(experiment)-1 do experiment(i)=strtrim(experiment(i))
set_plot,'ps'
device,filename='BB_detections.ps',/color,bits=8
!p.thick=3
!p.charthick=3
!x.thick=3
!y.thick=3
loadct,12
; set up plot without data
plot_oo,[1.,1e+4],[1.e-2,1.e+3],ps=3,xtitle='Multipole !8l!3',$
ytitle='!8l!3(!8l!3+1)C!d!8l!3!u!8BB!n/!32!4p !3[!4l!3K!u2!n]',$
yr=[1.e-3,0.6e+0],ys=1,xr=[1.,4000],xs=1,/nodata
; add BICEP2+Keck/Planck detections to plot
s=where(experiment eq 'BICEP2+Keck/Planck')
oplot,l_center(s(1:*)),bb(s(1:*)),ps=4,symsize=0.6,color=70
errplot,l_center(s(1:*)),bb(s(1:*))+sigma_bb_plus(s(1:*)),$
bb(s(1:*))-sigma_bb_minus(s(1:*)),width=0,color=70
l_mid=(l_min+l_max)/2.
halfwidth=l_mid-l_min
xerr,l_mid(s(1:*)),bb(s(1:*)),halfwidth(s(1:*)),color=70
; oplot 95% confidence upper limit for first BICEP2+Keck/Planck bin
; where foreground-cleaned BB < 0
; get upper limit from Gaussian likelihood truncated at zero,
; take mean of 10 realizations
realiz=fltarr(10)
for i=0,9 do begin
get_limit,bb(s(0)),sigma_bb_plus(s(0)),0.95,limit
realiz(i) = limit
endfor
usersym,[-1,1,0,0,-1,0,1],[0,0,0,-4.5,-3.5,-4.5,-3.5],thick=3.
plots,l_center(s(0)),mean(realiz),psym=8,color=70
xerr,l_mid(s(0)),mean(realiz),halfwidth(s(0)),color=70
; add BICEP2+Keck Oct2015 detections to plot
s=where(experiment eq 'BICEP2+Keck')
oplot,l_center(s(1:*)),bb(s(1:*)),ps=4,symsize=0.6,color=100
;oplot,l_center(s),bb(s),ps=4,symsize=0.6,color=100
errplot,l_center(s(1:*)),bb(s(1:*))+sigma_bb_plus(s(1:*)),$
bb(s(1:*))-sigma_bb_minus(s(1:*)),width=0,color=100
;errplot,l_center(s),bb(s)+sigma_bb_plus(s),$
; bb(s)-sigma_bb_minus(s),width=0,color=100
l_mid=(l_min+l_max)/2.
halfwidth=l_mid-l_min
xerr,l_mid(s(1:*)),bb(s(1:*)),halfwidth(s(1:*)),color=100
;xerr,l_mid(s),bb(s),halfwidth(s),color=100
; oplot 95% confidence upper limit for first BICEP2+Keck bin
; where CMB BB = 0
usersym,[-1,1,0,0,-1,0,1],[0,0,0,-4.5,-3.5,-4.5,-3.5],thick=3.
plots,l_center(s(0)),9.63e-03,psym=8,color=100
xerr,l_mid(s(0)),9.63e-03,halfwidth(s(0)),color=100
; add Polarbear detections to plot
s = where(experiment eq 'POLARBEAR' and l_center ne 1500)
oplot,l_center(s),bb(s),ps=4,symsize=0.6,color=20
errplot,l_center(s),bb(s)+sigma_bb_plus(s),bb(s)-sigma_bb_minus(s),width=0,color=20
xerr,l_mid(s),bb(s),halfwidth(s),color=20
; oplot 95% confidence upper limit for Polarbear l_center=1500 bin
s = where(experiment eq 'POLARBEAR' and l_center eq 1500)
realiz=fltarr(10)
for i=0,9 do begin
get_limit,bb(s(0)),sigma_bb_plus(s(0)),0.95,limit
realiz(i) = limit
endfor
plots,l_center(s),mean(realiz),psym=8,color=20
xerr,l_mid(s),mean(realiz),halfwidth(s),color=20
; add SPTpol detections to plot
s = where(experiment eq 'SPTpol')
oplot,l_center(s(0:3)),bb(s(0:3)),ps=4,symsize=0.6,color=200
errplot,l_center(s(0:3)),bb(s(0:3))+sigma_bb_plus(s(0:3)),$
bb(s(0:3))-sigma_bb_minus(s(0:3)),width=0,color=200
xerr,l_mid(s(0:3)),bb(s(0:3)),halfwidth(s(0:3)),color=200
; oplot 95% confidence upper limit for SPTpol l_center=2100 bin
s = where(experiment eq 'SPTpol' and l_center eq 2100)
realiz=fltarr(10)
for i=0,9 do begin
get_limit,bb(s(0)),sigma_bb_plus(s(0)),0.95,limit
realiz(i) = limit
endfor
plots,l_center(s),mean(realiz),psym=8,color=200
xerr,l_mid(s),mean(realiz),halfwidth(s),color=200
alt_xyouts,.05,.81,'SPTpol',charsize=0.8,color=200,/log
alt_xyouts,.05,.85,'Polarbear',charsize=0.8,color=20,/log
alt_xyouts,.05,.89,'BICEP2+Keck/Planck',charsize=0.8,color=70,/log
alt_xyouts,.05,.93,'BICEP2+Keck',charsize=0.8,color=100,/log
; oplot LCDM predictions
; read BICEP2 team results for r=0.1
readcol,'B2_3yr_camb_planck_lensed_uK_20140314.txt',$
l_p1_lens,c_BB_p1_lens,format='I,X,X,X,F',skipline=14
readcol,'B2_3yr_camb_planck_withB_uK_20140314.txt',$
l_p1_inflation,c_BB_p1_inflation,format='I,X,X,X,F',skipline=14
; get theoretical spectrum for r=0.1, call it c_BB_p1
; start with lensing component
c_BB_p1=c_BB_p1_lens
; add inflationary component
s=indgen(n_elements(l_p1_inflation))
c_BB_p1(s)=c_BB_p1(s)+c_BB_p1_inflation
loadct,0
oplot,l_p1_lens,c_BB_p1 ; theor. curve for r=0.1
oplot,l_p1_inflation,c_BB_p1_inflation,linestyle=2 ; inflationary component, r=0.1
oplot,l_p1_lens,c_BB_p1_lens,linestyle=1 ; lensing component
xyouts,3.,1.3*c_BB_p1_inflation(2),'r=0.1',charsize=0.8
device,/close
!p.thick=1
!p.charthick=1
!x.thick=1
!y.thick=1
loadct,0
end
pro alt_xyouts,xfrac,yfrac,str,charsize=charsize,color=color,log=log
; inputs
; xfrac - print string starting at this fraction of plot range in x
; yfrac - y
; str - string to print
if (not keyword_set(log)) then begin
xyouts,!x.crange(0) + xfrac*(!x.crange(1)-!x.crange(0)),$
!y.crange(0) + yfrac*(!y.crange(1)-!y.crange(0)),$
str,charsize=charsize,color=color
endif else begin
xyouts,10^(!x.crange(0) + xfrac*(!x.crange(1)-!x.crange(0))),$
10^(!y.crange(0) + yfrac*(!y.crange(1)-!y.crange(0))),$
str,charsize=charsize,color=color
endelse
end
pro get_limit,mn,sigma,confidence,upper_limit
; gets upper limit from Gaussian likelihood truncated at zero
; input
; mn, sigma - mean and sigma of Gaussian likelihood
; confidence - e.g., 0.95 for 95% confidence
like=randomn(seed,100000)
like=like*sigma
like=like+mn
sel=where(like ge 0.)
like=like(sel)
np=n_elements(sel)
frac=fltarr(np)
order=sort(like)
like=like(order)
for i=0L,np-1 do frac(i) = total(like(0:i),/double)/total(like,/double)
upper_limit=like(min(where(frac gt confidence)))
end
pro xerr,x,y,sigx,color=color
; oplots error bars in x
!psym=0
np=n_elements(y)
xmin=x-sigx
xmax=x+sigx
for i=0,np-1 do begin
oplot,[xmin(i),xmax(i)],[y(i),y(i)],color=color
endfor
end