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TRANSCRIPT
2 7
C 0S.S[PRD94,063523(1607.03973 ]
S.S,D.Yamauchi,K.Ichiki[PRD92,063533(1505.02774 ]
2017@ 2017/01/09
1.
1. 4.3.2. 7
@l
+ +
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o
1.1
2 10 500
1000
2000
3000
4000
5000
6000
D`[µK
2 ]
90� 18�
500 1000 1500 2000 2500
Multipole moment, `
1� 0.2� 0.1� 0.07�Angular scale
SDSS 1203.65940
Planck 1303.50750
1. 4.3.2. 7
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1.1
2 10 500
1000
2000
3000
4000
5000
6000
D`[µK
2 ]
90� 18�
500 1000 1500 2000 2500
Multipole moment, `
1� 0.2� 0.1� 0.07�Angular scale
3 3
SDSS 1203.65940
Planck 1303.50750
1. 4.3.2. 7
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1.2 3
101
102
103
10−4
10−3
10−2
10−1
100
101
102
lensingr=0.05
r=0.01
BK14CMB component
DASICBICAPMAPBoomerangWMAP
QUADBICEP1QUIET−QQUIET−W
PolarbearSPTpolACTpol
Multipole
l(l+
1)C
lBB/2
π [
µK
2]
BICEP2/Keck2015 1510.092170 r < 0.07 (95% conf.)
δr ~ O(10-3 ~ -4)
�2
0.95 0.96 0.97 0.98 0.99 1.00
ns
0.00
0.05
0.10
0.15
0.20
0.25
r 0.0
02
N=
50N=
60
ConvexConcave
�
Planck TT+lowP+lensing+ext
+BK14
l d
1. 4.3.2. 7
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1.3 2
3
21
3 3
)
3 3 ] 3 3
( acC ( (
2
1 2
1. 4.3.2. 7
)/21
1.4 ] 3( )
2 o r d
Lensed E-modes
Lensed B-modes
Intrinsic B-modes
r = 10-1
r = 10-3
r = 10-5
r = 10-7
r = 10-9
ℓ· (
ℓ+1
)2π
CBB ℓ
[μK2 ]
10−12
10−10
10−8
10−6
10−4
10−2
1
102
multipole ℓ10 100 1000
( )IntrinsicCMBB-modepolarization
r ~ 10-7@l ~ 100r ~ 10-9@l ~ 2
C.Fidleretal. 1401.32960( s ) ( s )
1. 4.3.2. 7
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1.5
IntrinsicCMBBispectrum(bySONG)
G.W.Pettinarietal.[1302.0832]
1. 4.3.2. 7
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1.6
4 5• o
• K
• 2
4 ]3 5• e
• o( ) ?e
• 1 Ke2
4 5• CMB M (r ~ 10-7 ~ 10-9)
•
1. 4.3.2. 7
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2. 7
• CMBlensing
• Cosmicshear
©Planck
©ESAandthePlankCollaboration
1. 4.3.2. 7
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2.1 CMBlensing
Gradientmode
�a = �:a +$:b✏ba
Curlmode
• d
• CMB o / / acC c e
• d
Planck,XV 1502.015910• l :CMB l
T.Namikawaetal. 1110.17180
�0.5
0
0.5
1
1.5
2
1 10 100 500 1000 2000
[L(L
+1)]2C
��
L/2⇡[⇥
107]
L
Planck (2015)Planck (2013)
SPTACT
1. 4.3.2. 7
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2.2 Cosmicshear
Emode( ) Bmode( )
R.Masseyetal.Nature455,286-290 2007 0
• l : c e l
N` /1p
2`+ 1
⌦✏2int
↵
N
• Cosmicshear k
Scalar
Vector
Tensor
1. 4.3.2. 7
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2.3
CMBlensing o
�a = �:a +$:b✏ba
Cosmicshear k (B )
0D = Dabea(+)e
a(�) , ±2D = Dabe
a(±)e
a(±)
1. 4.3.2. 7
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3.
2 l l (+2 )
tds
2 = a
2⇥�(1 + 2 )d⌘2 + 2�id⌘dx
i + (�ij � 2��ij + hij) dxidx
j⇤
1. 4.3.2. 7
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10-7
10-6
10-5
10-4
10-3
10-2
10-1
100
10-8 10-7 10-6 10-5 10-4 10-3 10-2 10-1 100
\
a
3.1 3Ø o e
k=10-3 hMpc-1
k=10-1 hMpc-1
k=101 hMpc-1
Subhorizon
Superhorizon
Ø ,convolution e
Ø , s P BO d d
D.Baumannetal.[hep-th/0703290]
1. 4.3.2. 7
(/21
3.2 :CMBlensingcurl-mode
10-2610-2410-2210-2010-1810-1610-1410-1210-1010-8
10 100 1000
Cosmic-variance limit
l2 (l+1)
2 Cϖϖ
l /(
2π)
l
PGW (r = 0.1)2nd order tensor2nd order vector
• s , s 2
• 2 , subdominant e
( s ) ( s )
1. 4.3.2. 7
)/21
3.3 :CosmicshearB-mode(SKAcase)
• s 2
• /2
Surveydesigns:
fsky zm Ng[arcmin-2]DES 0.125 0.5 12HSC 0.05 1.0 35SKA 0.75 1.6 10LSST 0.5 1.5 100
10-2210-2010-1810-1610-1410-1210-1010-810-6
10 100 1000
SKA
l(l+
1)C
BB l /(
2π)
l
PGW (r = 0.1)2nd order tensor2nd order vector
( s ) ( s )
1. 4.3.2. 7
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3.4
10-2210-2010-1810-1610-1410-1210-1010-8
10 100
l2 (l+1)
2 Cϖϖ
l /(
2π)
l
z = 200z = 30z = 4
z = 0.6
10-2210-2010-1810-1610-1410-1210-1010-8
10 100
l2 (l+1)
2 Cϖϖ
l /(
2π)
l
z = 200z = 30z = 4
z = 0.6
(r = 0.1) 2
• l e Ke
• 2 o acC P Ke
1. 4.3.2. 7
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3.5 21cmlensingfromthedarkages
(z ~ 30)
(z ~ 1100)
(z = 0)• 21cm
• s r B
W.HuandM.White(2004)
1. 4.3.2. 7
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3.6 21cm [ 3
CMB
10-3
10-2
10-1
100
101 102 103 104 105 106 107
l(l+1)Cl/(2π)
l
CMB21cm
21cm s e r
l
l
o L.Booketal. 1112.05670
1. 4.3.2. 7
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3.7 21cmIdealexperiment
10-2210-2010-1810-1610-1410-1210-1010-8
l2 (l+1)
2 Cϖϖ
l /(
2π)
2nd order vector signalPGWs: r = 10-5
Coadded noise lmax = 106
0.1
1.0
10.0
100.0
10 100
(S/N
)ϖϖ
<l
l
2 e
K OM Ke
( s ) ( s )
1. 4.3.2. 7
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4. • CMBlensing/cosmicshearè
• 21cmlensing
è
è P B P OK
• r ~ 10-5 2 B
è s (l ~ 100) P r ~ 0.1
è Intrinsic CMBBmode d e
6 r ~ O(10-2 ~ -5) : 2 2 ]9 8
Futureworks• ?e ,
• (vorticity: )
1. 4.3.2. 7
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