宇宙の再加熱・熱化
高エネルギー標準模型粒子のカスケード

向田 享平 @ KEK，総研大1312.3097, 1402.2846, 1901.11027, 2208.11708

導入• インフレーション- 地平線・平坦性問題を解く- 宇宙構造形成の種を与える- やや赤傾したスペクトルを予言する

In

at
io

n

インフレーション宇宙論

?
~ MeV

~ eV
CMB

BBN

2.73K

Planck Collaboration: Cosmological parameters

6000

(ΔT)2

DT T [µK2 ]

5000
4000
3000
2000
1000

DT T

• ビッグバン軽元素合成 (BBN)

0
600

60
30
0
-30
-60

300
0
-300
-600
2

fl

• 宇宙マイクロ波背景放射 (CMB)

10

30

500

1000

1500

Multipole

2000

2500

Fig. 1. Planck 2018 temperature power spectrum. At multipoles `30 we show the frequency-coadded temperature spectru
computed from the Plik cross-half-mission likelihood, with foreground and other nuisance parameters fixed to a best fit assumi
the base-⇤CDM cosmology. In the multipole range 2  `  29, we plot the power spectrum estimates from the Commandcomponent-separation algorithm, computed over 86 % of the sky. The base-⇤CDM theoretical spectrum best fit to the Plan
TT,TE,EE+lowE+lensing likelihoods is plotted in light blue in the upper panel. Residuals with respect to this model are shown
the lower panel. The error bars show ±1 diagonal uncertainties, including cosmic variance (approximated as Gaussian) and n
including uncertainties in the foreground model at ` 30. Note that the vertical scale changes at ` = 30, where the horizontal aswitches from logarithmic to linear.

at
io

n

インフレーション宇宙論?

In• インフレーション- 地平線・平坦性問題を解く- 宇宙構造形成の種を与える~ MeV- やや赤傾したスペクトルを予言する

He/H
3

6000

0.24

DT T [µK2 ]

0.25

4 He

4000
3000
2000

0.23
10°3

10

1000

D
3H
e

0
600

C
M
B

60
30
0
-30
-60

300
0
-300
-600
2

°5

1010 °10 Baryon/Photon 10°9
<latexit sha1_base64="6Sbc8vBIrgptjNwfStt9R2psiEM=">AAADVHicjVK9ThtBEB77QiAkAUOaSDSnWEQ0seYOAw4VUpqU/MRgiQC6O6/NivvT3doSnHiBlGlSkCaRKBCPQZMXSCQeIUoJEg1FvtszilLgZE67OzP7fbMzc+PGvkwV82WpbDwYeTg69mj88ZOnE5OVqenNNOolnmh6kR8lLddJhS9D0VRS+aIVJ8IJXF9suQdv8vutvkhSGYXv1GEsdgKnG8qO9BwFV8vi3eyVxcd7lSrXrMYC1xsmlNf2PNtQ7CXbgmLVWEuVBrIaTZVm6D21KSKPehSQoJAUdJ8cSvFtk0VMMXw7lMGXQJP6XtAxjYPbA0oA4cB7gL0La3vgDWHnMVPN9vCKj5WAadIsf+czvuJvfM4/+fbeWJmOkedyiNMtuCLem/zwfOPmn6wAp6L9P6yhOSvqUEPnKpF7rD15FV7B7x99utpYXp/NXvJX/oX8v/AlX6CCsH/tna6J9ZMh+XRQeQ+1S1jJkN5lsPdRa6r7nA5FuqivuG/D7uAMdX8Dvbepir+XwXvXhQgRMloGp0D6eCPAUohuarT5n+h80u7Gybxf2bRr1mJtfq1eXeHBzI3RDL2gOby1RCv0llapqefpI53Q5/KP8q1hGCMFtFwacJ7RX2JM/AZBGroA</latexit>

10

30

500

1000

1500

2000

2500

<latexit sha1_base64="s/QMX8R2Zcm3MfiS/7z/hhTvCm8=">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</latexit>

°9

Li/H

(ΔT)2

5000

0.26

10°4

7
fl

baryon density parameter ≠Bh2
10°2

DT T

D/H

4

He mass fraction

0.27• 宇宙マイクロ波背景放射 (CMB)

CMB

BBN

2.73K

Planck Collaboration: Cosmological parameters

24. Big Bang Nucleosynthesis

3• ビッグバン軽元素合成 (BBN)~ eV

MultipoleFig. 1. Planck 2018 temperature power spectrum. At multipoles `30 we show the frequency-coadded temperature spectru
computed from the Plik cross-half-mission likelihood, with foreground and other nuisance parameters fixed to a best fit assumi
the base-⇤CDM cosmology. In the multipole range 2  `  29, we plot the power spectrum estimates from the Commandcomponent-separation algorithm, computed over 86 % of the sky. The base-⇤CDM theoretical spectrum best fit to the Plan
TT,TE,EE+lowE+lensing likelihoods is plotted in light blue in the upper panel. Residuals with respect to this model are shown
the lower panel. The error bars show ±1 diagonal uncertainties, including cosmic variance (approximated as Gaussian) and n
including uncertainties in the foreground model at ` 30. Note that the vertical scale changes at ` = 30, where the horizontal aswitches from logarithmic to linear.

at
io

n

インフレーション宇宙論?

In• インフレーション- 地平線・平坦性問題を解く- 宇宙構造形成の種を与える~ MeV- やや赤傾したスペクトルを予言する

0.24

He/H
3

(ΔT)2

5000

DT T [µK2 ]

0.25

4 He

4000
3000
2000

0.23
10°3

10

1000

D
3H
e

0
600

C
M
B

60
30
0
-30
-60

300
0
-300
-600
2

°5

1010 °10 Baryon/Photon 10°9
<latexit sha1_base64="6Sbc8vBIrgptjNwfStt9R2psiEM=">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</latexit>

10

30

500

1000

1500

2000

2500

<latexit sha1_base64="s/QMX8R2Zcm3MfiS/7z/hhTvCm8=">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</latexit>

°9

7
fl

6000

0.26

10°4

Li/H

• 宇宙マイクロ波背景放射 (CMB)

baryon density parameter ≠Bh2
10°2

DT T

D/H

4

He mass fraction

0.27• ビッグバン軽元素合成 (BBN)

CMB

BBN

2.73K

Planck Collaboration: Cosmological parameters

24. Big Bang Nucleosynthesis

3

熱プラズマ

~ eV

MultipoleFig. 1. Planck 2018 temperature power spectrum. At multipoles `30 we show the frequency-coadded temperature spectru
computed from the Plik cross-half-mission likelihood, with foreground and other nuisance parameters fixed to a best fit assumi
the base-⇤CDM cosmology. In the multipole range 2  `  29, we plot the power spectrum estimates from the Commandcomponent-separation algorithm, computed over 86 % of the sky. The base-⇤CDM theoretical spectrum best fit to the Plan
TT,TE,EE+lowE+lensing likelihoods is plotted in light blue in the upper panel. Residuals with respect to this model are shown
the lower panel. The error bars show ±1 diagonal uncertainties, including cosmic variance (approximated as Gaussian) and n
including uncertainties in the foreground model at ` 30. Note that the vertical scale changes at ` = 30, where the horizontal aswitches from logarithmic to linear.

• インフレーション- 地平線・平坦性問題を解く

In

at
io

n

インフレーション宇宙論?

- 宇宙構造形成の種を与える~ MeV- やや赤傾したスペクトルを予言する

~ eV
CMB

BBN

?

2.73K

5% 物質 → バリオン非対称性

熱プラズマ• ビッグバン軽元素合成 (BBN)69%

fl• 宇宙マイクロ波背景放射 (CMB)?
?

26% 暗黒物質

暗黒エネルギー

In

at
io

n

インフレーション宇宙論• インフレーション- 地平線・平坦性問題を解く?

- 宇宙構造形成の種を与える~ MeV- やや赤傾したスペクトルを予言する

?

?

2.73K

5% 物質 → バリオン非対称性

熱プラズマ

?
?

26% 暗黒物質• ビッグバン軽元素合成 (BBN)
69%

fl

CMB

BBN

化
熱
・
熱
再加

• 宇宙マイクロ波背景放射 (CMB)~ eV

暗黒エネルギートークの概要• 導入• インフレーション後の宇宙の再加熱・熱化• 高エネルギー標準模型粒子の媒質中でのカスケード

インフレーション後の宇宙の再加熱の概略
V (¡)<latexit sha1_base64="Xik936Vk10+qxI6p4++wjgP7Tus=">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</latexit>¡<latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">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</latexit>

インフレーション

時間インフレーション後の宇宙の再加熱の概略
V (¡)

V (¡)

<latexit sha1_base64="Xik936Vk10+qxI6p4++wjgP7Tus=">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</latexit><latexit sha1_base64="Xik936Vk10+qxI6p4++wjgP7Tus=">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</latexit>¡¡<latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">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</latexit><latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">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</latexit>“radiation”
インフレーション

再加熱

時間

インフレーション後の宇宙の再加熱の概略
V (¡)

V (¡)

<latexit sha1_base64="Xik936Vk10+qxI6p4++wjgP7Tus=">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</latexit>

V (¡)<latexit sha1_base64="Xik936Vk10+qxI6p4++wjgP7Tus=">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</latexit><latexit sha1_base64="Xik936Vk10+qxI6p4++wjgP7Tus=">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</latexit>¡¡<latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">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</latexit>¡<latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">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</latexit><latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">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</latexit>“radiation”
インフレーション

再加熱

再加熱完了

時間

インフレーション後の宇宙の再加熱の概略
V (¡)

V (¡)

<latexit sha1_base64="Xik936Vk10+qxI6p4++wjgP7Tus=">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</latexit>

V (¡)<latexit sha1_base64="Xik936Vk10+qxI6p4++wjgP7Tus=">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</latexit><latexit sha1_base64="Xik936Vk10+qxI6p4++wjgP7Tus=">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</latexit>¡¡<latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">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</latexit>¡<latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">AAADlHichVLJShxBGP7HNolLEjWCCLkMDhNyGv7RLCoKggQ8BZeMCirS3dY4hb3Ry8jY+AIevCp4Usgh+Bi55AVy8BHEo4IXD35V0xJCmE4VVfVv37+WFTgyipmvCl1G97PnL3p6+/pfvno9MDj0ZjXyk9AWNdt3/HDdMiPhSE/UYhk7Yj0Ihelajliz9uaVfq0pwkj63re4FYgt19z1ZF3aZqxEm0FDbg+WuMJTkzwxVfyXqFZYrxJla9EfKszSJu2QTzYl5JIgj2LQDpkUYW9QlZgCyLYohSwEJbVe0CH1AZvASsDChHQP9y64jUzqgVc+I422EcXBCYEsUpl/8w++5V98ydf80NFXqn2oXFp4rTZWBNsDR6Mr9/9FuXhjavxB5eYcU50mda4SuQdaoqqw2/jmwcntyvRyOX3HF3yD/M/5in+iAq95Z39fEstnOfnUUXmC2iW4MKd3KWp0c/UB6mlBo+YQ5VpG2Rwb4HYySw/0vp6Fq7vjQZNquZqMq29lqyavOlEGqog9DZunbobw4WiU6nE7qoo3Dj4BtgRsJ90hPCmfyAa/9elLFjsTq+OV6qfKx6UPpbmF7N/20Fsao/eI8pnmaIEWqYYoDTqmEzo1RowZY9740jbtKmSYYfprGV8fAf7rxN0=</latexit><latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">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</latexit>“radiation”
インフレーション

再加熱

時間

再加熱完了
エネルギー
密度

再加熱温度

Ø
1/4 Ø
TR ª Ω
<latexit sha1_base64="5/SGfeS3ObMwwTLMC2BwnU5l/c4=">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</latexit>

Ω inf<latexit sha1_base64="1zdxK/4uMf2V5uV8TP4TaiX6dWM=">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</latexit>

rad t ª°°1
inf

Ω rad
<latexit sha1_base64="jhG9aYRaQNQm+TQYsW+6s2cvQt8=">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</latexit>

時間
インフラトン
寿命インフレーション後の宇宙の再加熱の概略
V (¡)

V (¡)

<latexit sha1_base64="Xik936Vk10+qxI6p4++wjgP7Tus=">AAADl3ichVLLSltBGP7jqa31UrVuKt0EQ4puwh+tVoVSoVBcGjWJoCLnHCdm8Nw4l0h68AW666qgqxa6KH2MbvoCXfgIpUsFNy78ZnJESsnpDDPz377/OlbgyChmvigMGA8GHz4aejw8Mjr2ZHxi8mkj8pPQFnXbd/xwxzIj4UhP1GMZO2InCIXpWo5oWsdvlb7ZEWEkfW877gZi3zWPPNmSthlD1GzM7gVtOXcwUeIKryzzwkrxX6JaYb1KlK0Nf7LwmvbokHyyKSGXBHkUg3bIpAh7l6rEFEC2TylkISip9YJOaRjYBFYCFiakx7iPwO1mUg+88hlptI0oDk4IZJHK/Iu/8SX/5O/8m2/6+kq1D5VLF6/Vw4rgYPzDs63r/6JcvDG171G5OcfUomWdq0TugZaoKuwevvP+0+XW6mY5fcFf+A/y/8wX/AMVeJ0r+2tNbJ7n5NNC5Qlql+DCnN6lqNHN1QeopwuNmkOUaxllc2yDO8wsPdAnehau7o4HTarlajKuvpWtmrzqRBmoIvYqbO66GcKHo1Gqx72oKt48+ATYErD9dKfwpHwiG/zWuy9Z7E805ivVpcpi7WVpbT37t0P0nGZoFlFe0Rqt0wbVdd0f6YzOjWnjjfHOyGwHChlmiv5aRu0WiZvFog==</latexit>

V (¡)<latexit sha1_base64="Xik936Vk10+qxI6p4++wjgP7Tus=">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</latexit><latexit sha1_base64="Xik936Vk10+qxI6p4++wjgP7Tus=">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</latexit>¡¡<latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">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</latexit>¡<latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">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</latexit><latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">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</latexit>“radiation”
インフレーション

再加熱• 観測的にはほぼ何も分かってない．
16

10 GeV & TR & 1 MeV<latexit sha1_base64="e3FYwU0kqerkVbo8xiJiqSR4qPw=">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</latexit>

時間

再加熱完了
エネルギー
密度

再加熱温度

Ø
1/4 Ø
TR ª Ω
<latexit sha1_base64="5/SGfeS3ObMwwTLMC2BwnU5l/c4=">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</latexit>

Ω inf<latexit sha1_base64="1zdxK/4uMf2V5uV8TP4TaiX6dWM=">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</latexit>

rad t ª°°1
inf

Ω rad
<latexit sha1_base64="jhG9aYRaQNQm+TQYsW+6s2cvQt8=">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</latexit>• 宇宙の熱史に大きな影響- バリオン非対称性，暗黒物質生成，宇宙の相転移，…

時間
インフラトン
寿命

再加熱・熱化V (¡)<latexit sha1_base64="Xik936Vk10+qxI6p4++wjgP7Tus=">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</latexit>¡<latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">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</latexit>∏¡O
S<latexit

sha1_base64="Sd9fSzLSaQAR252Ekk//pNncgww=">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</latexit><latexit
sha1_base64="g20ZjYM5Bqalu9gIlpIbo51H3jU=">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</latexit>

OS

M=

√¯ √

, |© 2| ,GMµ∫ G µ∫,Gµ∫ G˜ µ∫,···Standard Model+…

再加熱・熱化V (¡)<latexit sha1_base64="Xik936Vk10+qxI6p4++wjgP7Tus=">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</latexit>

合

大

結
¡
<latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">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</latexit>∏¡O
S<latexit

sha1_base64="Sd9fSzLSaQAR252Ekk//pNncgww=">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</latexit>

結<latexit
sha1_base64="g20ZjYM5Bqalu9gIlpIbo51H3jU=">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</latexit>

合

小

OS

M=

√¯ √

, |© 2| ,GMµ∫ G µ∫,Gµ∫ G˜ µ∫,···Standard Model+…

再加熱・熱化V (¡)<latexit sha1_base64="Xik936Vk10+qxI6p4++wjgP7Tus=">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</latexit>

合

大

成
生
子
粒
的

非摂動
<latexit

結

sha1_base64="WSvSEbJ47hvYbsQYP+DGzhHOUJU=">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</latexit>¡¡<latexit sha1_base64="JBw4wh2aWtyoFPTQpFl8X0op8mQ=">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</latexit>

M
S
M
S
!
···

f SM (p, t )

非

熱

¡
結

合

小

的

固

<latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">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</latexit>

非平衡状態
インフラトン凝縮

1<latexit sha1_base64="QvhMMyExqgr1gI4NqYir8qMZ7cw=">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</latexit>

摂動

成
生
子
的粒

p
<latexit sha1_base64="Bghc8MhpeIuKASRzwidWLJEZZS4=">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</latexit>

定点Standard Model
+…
熱プラズマ

再加熱・熱化V (¡)<latexit sha1_base64="Xik936Vk10+qxI6p4++wjgP7Tus=">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</latexit>

合

大

成
生
子
粒
的

非摂動
<latexit

結

sha1_base64="WSvSEbJ47hvYbsQYP+DGzhHOUJU=">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</latexit>¡¡<latexit sha1_base64="JBw4wh2aWtyoFPTQpFl8X0op8mQ=">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</latexit>

M
S
M
S
!
···

f SM (p, t )

非

熱

¡
結

合

小

成
生
子
的粒

摂動

非常に
遅い崩
壊
↪︎希薄
なイン
フラト
ン
<latexit sha1_base64="JBw4wh2aWtyoFPTQpFl8X0op8mQ=">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</latexit>

密度f SM (p, t )1<latexit sha1_base64="QvhMMyExqgr1gI4NqYir8qMZ7cw=">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</latexit><latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">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</latexit>p<latexit sha1_base64="Bghc8MhpeIuKASRzwidWLJEZZS4=">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</latexit>

T<latexit sha1_base64="3kQSQqxLK2aM0RW56VF9jidLaTc=">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</latexit>m ¡ /2<latexit sha1_base64="wEi4dX14i4/y1MlbosiyTmmmTEw=">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</latexit>

的固<latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">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</latexit>

非平衡状態
インフラトン凝縮

1<latexit sha1_base64="QvhMMyExqgr1gI4NqYir8qMZ7cw=">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</latexit>¡p<latexit sha1_base64="Bghc8MhpeIuKASRzwidWLJEZZS4=">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</latexit>

定点Standard Model
+…
熱プラズマ

再加熱・熱化V (¡)<latexit sha1_base64="Xik936Vk10+qxI6p4++wjgP7Tus=">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</latexit>

合

大

成
生
子
粒
的

非摂動
<latexit

結

sha1_base64="WSvSEbJ47hvYbsQYP+DGzhHOUJU=">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</latexit>¡¡<latexit sha1_base64="JBw4wh2aWtyoFPTQpFl8X0op8mQ=">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</latexit>

M
S
M
S
!
···

f SM (p, t )

非

熱

¡
結

合

小

成
生
子
的粒

摂動

非常に
遅い崩
壊
↪︎希薄
なイン
フラト
ン
<latexit sha1_base64="JBw4wh2aWtyoFPTQpFl8X0op8mQ=">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</latexit>

密度f SM (p, t )1<latexit sha1_base64="QvhMMyExqgr1gI4NqYir8qMZ7cw=">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</latexit><latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">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</latexit>p<latexit sha1_base64="Bghc8MhpeIuKASRzwidWLJEZZS4=">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</latexit>

T<latexit sha1_base64="3kQSQqxLK2aM0RW56VF9jidLaTc=">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</latexit>m ¡ /2<latexit sha1_base64="wEi4dX14i4/y1MlbosiyTmmmTEw=">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</latexit>

的固<latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">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</latexit>

非平衡状態
インフラトン凝縮

1<latexit sha1_base64="QvhMMyExqgr1gI4NqYir8qMZ7cw=">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</latexit>¡p<latexit sha1_base64="Bghc8MhpeIuKASRzwidWLJEZZS4=">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</latexit>

定点Standard Model
+…
熱プラズマ

トークの概要• 導入• インフレーション後の宇宙の再加熱・熱化• 高エネルギー標準模型粒子の媒質中でのカスケード

長寿命インフラトンと希薄な熱プラズマ
エネルギー
密度

m¡ ¿ T<latexit sha1_base64="TqDqVA1r3Fp9UzNa94/amCcWQ2M=">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</latexit>

Ω inf<latexit sha1_base64="1zdxK/4uMf2V5uV8TP4TaiX6dWM=">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</latexit>¡<latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">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</latexit>

Ω rad<latexit sha1_base64="jhG9aYRaQNQm+TQYsW+6s2cvQt8=">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</latexit>°1
t ª °inf<latexit sha1_base64="MqZFld7y0y/jzRq9zPWEV7+yRgo=">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</latexit>

時間- 宇宙時間で熱化する条件• Landau-Pomeranchuk-Migdal 効果m¡<latexit sha1_base64="RpYHc5YVRCb+/t50/P7xODJg74s=">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</latexit>

相殺的干渉

律速 →

°split > H ← 宇宙膨張率<latexit sha1_base64="eWDXIQPEXpLI1sfSlB2bb+BP/SA=">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</latexit>

[KM, Harigaya 1312.3097]

長寿命インフラトンと希薄な熱プラズマ
エネルギー
密度

m¡ ¿ T<latexit sha1_base64="TqDqVA1r3Fp9UzNa94/amCcWQ2M=">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</latexit>

Ω inf<latexit sha1_base64="1zdxK/4uMf2V5uV8TP4TaiX6dWM=">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</latexit>¡<latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">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</latexit>

Ω rad<latexit sha1_base64="jhG9aYRaQNQm+TQYsW+6s2cvQt8=">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</latexit>°1
t ª °inf<latexit sha1_base64="MqZFld7y0y/jzRq9zPWEV7+yRgo=">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</latexit>- 宇宙時間で熱化する条件

時間

律速 →

°split > H ← 宇宙膨張率<latexit sha1_base64="eWDXIQPEXpLI1sfSlB2bb+BP/SA=">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</latexit>• Landau-Pomeranchuk-Migdal 効果 [Landau, Pomeranchuk; Migdal]°split ª Æ T £sBethe-Heitler

LPM抑制<latexit sha1_base64="qtOCM/yrtrfC6ZtM9NS9bmN4Bn4=">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</latexit>m¡<latexit sha1_base64="RpYHc5YVRCb+/t50/P7xODJg74s=">AAADqnicjVK7bhNBFL3O8gjhkQQaJJoVVhAFsu46MU5SRaIAUSUOdoKcyNrHOB6yL+2OHcwqP0BFh4AKJArEZ9DwAxT5BEQZJBoKzs46QhTZMKOZuY9z7tx7Z5zYl6liPqpMGefOX7g4fWnm8pWr12bn5q930miYuKLtRn6UbDt2KnwZiraSyhfbcSLswPHFlrP/IPdvjUSSyih8osax2A3svVD2pWsrmDpBbyceyN5clWvWcoOXmiaElfoi50K9Wbe4YVo11qNKk7EezVce0g55FJFLQwpIUEgKsk82pZhdsjBj2HYpgy2BJLVf0CHNgDsESgBhw7qPfQ9ad2INoecxU812cYuPlYBp0gJ/4098zF/5M3/n36fGynSMPJcxTqfgirg3+/Lm5q8zWQFORYO/rNKcFfVpWecqkXusLXkVbsEfvXh9vLnaWsju8Af+gfzf8xF/QQXh6Kf7cUO03pXk00flQ9QuoSUlvctgK7o/gOaVImNgxvDkL5KWIgU9Ry35+yXI4+AMtIO+FX4Peh9nqN8t0LtHVfyJDNaT7kaIkNEqOAXSR0YBlkJ0U6PN/0Qf4geffFPzdKFTr1n3a42Npera48lfnqZbdJvu4q4mrdEjWqc2anpGr+gNvTXuGS3jqdEtoFOVCecG/TMM7w+AX8vb</latexit>

+

+…

2

T
m¡

ff

[Arnold, Moore, Ya e ʼ01,ʼ02,ʼ03;
Arnold, Dogan ʼ08]

[KM, Harigaya 1312.3097]

長寿命インフラトンと希薄な熱プラズマ
エネルギー
密度

m¡ ¿ T<latexit sha1_base64="TqDqVA1r3Fp9UzNa94/amCcWQ2M=">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</latexit>

Ω inf<latexit sha1_base64="1zdxK/4uMf2V5uV8TP4TaiX6dWM=">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</latexit>¡<latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">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</latexit>

Ω rad<latexit sha1_base64="jhG9aYRaQNQm+TQYsW+6s2cvQt8=">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</latexit>°1
t ª °inf<latexit sha1_base64="MqZFld7y0y/jzRq9zPWEV7+yRgo=">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</latexit>- 宇宙時間で熱化する条件

時間

律速 →

• Landau-Pomeranchuk-Migdal 効果°split > H ← 宇宙膨張率<latexit sha1_base64="eWDXIQPEXpLI1sfSlB2bb+BP/SA=">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</latexit>[Landau, Pomeranchuk; Migdal]<latexit sha1_base64="qtOCM/yrtrfC6ZtM9NS9bmN4Bn4=">AAAD6HicjVLLbtNAFL2peZTyaAobJDYWURGraBIaUrqqYNEu+0jaSnWxxs64GeqxjT0JDVZ+gBW7CrGiEhKIz2DDih2CfgJiWSQ2LDi2UyEWTZnRzNx75pw7986ME/ky0YwdlSaMc+cvXJy8NHX5ytVr0+WZ6xtJ2Itd0XZDP4y3HJ4IXwairaX2xVYUC64cX2w6e4+y/c2+iBMZBi09iMSO4ruB9KTLNSC7/NBa4kpx29JiX6cJjtRD00qkMi3uR13+uG62TEtLJRLAT2OdWl7M3bQ1TJVtRV05HNrlCqvW5htsrmnCeFC/xzKj3qzXWMOsVVneKjRqK+FMaYks6lBILvVIkaCANGyfOCXo21RDj4DtUAoshiXzfUFDmoK2B5YAgwPdw7wLb3uEBvCzmEmudnGKjxFDadIs+8Les2P2iX1g39nvU2OleYwslwFWp9CKyJ5+cXP915kqhVVT969qbM6aPJrPc5XIPcqRrAq30PefHxyvL6zNpnfYIfuB/N+wI/YRFQT9n+7bVbH2ekw+HirvoXYJLx5zdymw4va78DpjmRE4A+xkL5KMZQraRy3Z+8XI49kZbAf3Vux34HtYg/zdVD53qII/kQI9ud0QEVJagKZg+shIYWhEN3O2+Z/s7AeffFPzdGOjXq3drzZW5yqLy6O/PEm36DbdxVlNWqRlWqE2anpHn+krfTOeGC+NA+NVQZ0ojTQ36J9mHP4BQUTlqA==</latexit>m¡<latexit sha1_base64="RpYHc5YVRCb+/t50/P7xODJg74s=">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</latexit>

+

+…

2

°split ª Æ T £Bethe-Heitler

s

T
m¡

fl

Star
o
<latexit

sha1_base64="vdwHL40Z6LFcOHakSjDoFiZb+3c=">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</latexit><latexit sha1_base64="JBw4wh2aWtyoFPTQpFl8X0op8mQ=">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</latexit>f SM (p, t )1<latexit sha1_base64="QvhMMyExqgr1gI4NqYir8qMZ7cw=">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</latexit>

3£

bins

ky in
10 11
atio
GeV
n

&T

散逸

湧き出し項

LPM抑制

[Arnold, Moore, Ya e ʼ01,ʼ02,ʼ03;
Arnold, Dogan ʼ08]
ff

例)

p
<latexit sha1_base64="Bghc8MhpeIuKASRzwidWLJEZZS4=">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</latexit>

T<latexit sha1_base64="3kQSQqxLK2aM0RW56VF9jidLaTc=">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</latexit>m ¡ /2<latexit sha1_base64="wEi4dX14i4/y1MlbosiyTmmmTEw=">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</latexit>

[KM, Yamada 2208.11708]

高エネルギー標準模型粒子のカスケード
V (¡)

Standard Model<latexit sha1_base64="Xik936Vk10+qxI6p4++wjgP7Tus=">AAADl3ichVLLSltBGP7jqa31UrVuKt0EQ4puwh+tVoVSoVBcGjWJoCLnHCdm8Nw4l0h68AW666qgqxa6KH2MbvoCXfgIpUsFNy78ZnJESsnpDDPz377/OlbgyChmvigMGA8GHz4aejw8Mjr2ZHxi8mkj8pPQFnXbd/xwxzIj4UhP1GMZO2InCIXpWo5oWsdvlb7ZEWEkfW877gZi3zWPPNmSthlD1GzM7gVtOXcwUeIKryzzwkrxX6JaYb1KlK0Nf7LwmvbokHyyKSGXBHkUg3bIpAh7l6rEFEC2TylkISip9YJOaRjYBFYCFiakx7iPwO1mUg+88hlptI0oDk4IZJHK/Iu/8SX/5O/8m2/6+kq1D5VLF6/Vw4rgYPzDs63r/6JcvDG171G5OcfUomWdq0TugZaoKuwevvP+0+XW6mY5fcFf+A/y/8wX/AMVeJ0r+2tNbJ7n5NNC5Qlql+DCnN6lqNHN1QeopwuNmkOUaxllc2yDO8wsPdAnehau7o4HTarlajKuvpWtmrzqRBmoIvYqbO66GcKHo1Gqx72oKt48+ATYErD9dKfwpHwiG/zWuy9Z7E805ivVpcpi7WVpbT37t0P0nGZoFlFe0Rqt0wbVdd0f6YzOjWnjjfHOyGwHChlmiv5aRu0WiZvFog==</latexit>

?
¡

ef
Lf

uf df
Qf

©

Bµ

Wµ

gµ

レプトン

クォーク

ヒッグス

U(1)

SU(2)

SU(3)

<latexit sha1_base64="uMwgDW2e/TlDpb8tMCTf/QEndWA=">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</latexit><latexit sha1_base64="dgv2UAFHlumfsyskOUoQVpdxQTw=">AAADp3icjVK7bhNBFL3O8kjCIwlpItGssIKgse46MQ6pIlGAaEhi7FgKkbW7nnVG2Zd2xwZnlR9AoiUFFUgUiM+g4Qco8gmIMkg0FJyddYQosmFGM3Mf59y59844sS9TxXxSmTIuXb5ydXpm9tr1Gzfn5hduddJomLii7UZ+lHQdOxW+DEVbSeWLbpwIO3B8seMcPMr9OyORpDIKn6txLPYCexBKT7q2gqklel5vvso1a63Bq00TwsP6CudCvVm3uGFaNdajSpOxGS1UHtML6lNELg0pIEEhKcg+2ZRi7pKFGcO2RxlsCSSp/YKOaBbcIVACCBvWA+wDaLsTawg9j5lqtotbfKwETJOW+Rt/4lP+yp/5O/8+N1amY+S5jHE6BVfEvbnXS61fF7ICnIr2/7JKc1bk0ZrOVSL3WFvyKtyCPzo8Pm2tby9nd/kD/0D+7/mEv6CCcPTT/bgltt+V5OOh8iFql9CSkt5lsBXd34fWL0XGwIzhyV8kLUUKeoVa8vdLkMfLC9AO+lb4+9A9nKF+t0DvfariT2SwnnU3QoSM1sEpkD4yCrAUopsabf4n+gg/+OybmucLnXrNelBrbK1WN55O/vI03aY7dA93NWmDntAmtVHTgN7QWzo27hvPjI7RLaBTlQlnkf4Zhv0H+VDKfg==</latexit><latexit sha1_base64="h8MS0ivz7aWo4aYyOdIZrBqCkKI=">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</latexit><latexit sha1_base64="EuDxezUAcmWrfQf2zfJFKeaZolk=">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</latexit><latexit sha1_base64="1MMVexVT4u/Fv77/z2nnxTeABG4=">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</latexit><latexit sha1_base64="XK2VfkLu4ZVoa7OxnYTiHx+Wa7A=">AAADqXicjVLLThRBFL1D+wB8ALohcdNxgjExmdweGAdZEVhoXDHgwEQgk+6eGqjQr3RXj44dfoANSzWuNHFh/Aw3/oALPsG4xMSNC09XDzEuaKxKVd3HObfuvVVO5MlEMZ9UxoxLl69cHZ+YvHb9xs2p6Zlbm0mYxq5ou6EXxh3HToQnA9FWUnmiE8XC9h1PbDkHq7l/ayDiRIbBMzWMxK5v7wWyL11bwdRe6e74aXe6yjVrscELTRPCo/o850K9Wbe4YVo11qNKo7EWzlQe0w71KCSXUvJJUEAKskc2JZjbZGFGsO1SBlsMSWq/oEOaBDcFSgBhw3qAfQ/a9sgaQM9jJprt4hYPKwbTpDn+xp/4lL/yZ/7Ov8+NlekYeS5DnE7BFVF36mh249eFLB+nov2/rNKcFfVpUecqkXukLXkVbsEfvHp9urG0Ppfd4w/8A/m/5xP+ggqCwU/3Y0usvyvJp4/KU9QuocUlvctgK7q/D61XioyAGcKTv0hSihT0ErXk7xcjjxcXoB30rfD3oPdxBvrdfL33qIo/kcF61t0QETJaAqdAesjIx1KIbmq0+Z/oQ/zgs29qni9s1mvWw1qjtVBdfjr6y+N0h+7SfdzVpGV6QmvURk2SjukNvTUeGC2jYzwvoGOVEec2/TMM9w+V38tH</latexit><latexit sha1_base64="f7JSlkcsaBmsDwSmaNsdscRfz6g=">AAADqHicjVLLThRBFL1DowI+eG1I3HScYIyLye2RYZAVCQuMqwEcBgOEdPfUMBX6le6akbHDD7hgC4krTVwYPsONP+CCTzAuMXHjwtPVQ4wLGqtSVfdxzq17b5UTeTJRzBelEWP01u07Y+MTd+/dfzA5NT2zlYS92BVNN/TCeNuxE+HJQDSVVJ7YjmJh+44nWs7hauZv9UWcyDB4pQaR2PPtg0B2pGurzLTb6Mr9qTJXrKUaL9RNCM+rzzgTqvWqxTXTqrAeZRqORjhdWqNdalNILvXIJ0EBKcge2ZRg7pCFGcG2RylsMSSp/YKOaQLcHlACCBvWQ+wH0HaG1gB6FjPRbBe3eFgxmCbN8zf+zJf8lc/5O/++NlaqY2S5DHA6OVdE+5Pv5jZ/3cjycSrq/mUV5qyoQ0s6V4ncI23JqnBzfv/t6eXm8sZ8+pg/8g/k/4Ev+AsqCPo/3U/rYuN9QT4dVN5D7RJaXNC7FLa8+11o7UJkBMwAnuxFkkKkoCPUkr1fjDze3IB20Lfc34bewRnod/P13qYy/kQK61V3Q0RIaRmcHOkhIx9LIbqp0eZ/oo/xg6++qXm9sFWtWIuV2vpCeeXl8C+P0UN6RE9wV51W6AU1qImaunRCp3RmPDUaRst4nUNHSkPOLP0zDOcPLxnK2w==</latexit><latexit sha1_base64="MhbHWkGeViqtsntcXj66hvgNc08=">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</latexit><latexit sha1_base64="cLCmRfjmWLzIl7xsVikFX62/UbY=">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</latexit><latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">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</latexit>• LPM-suppressed splitting functions(vac)
P s!s 0 s 00 (x)<latexit sha1_base64="FKpVBLhW8xXtkJkUsAyEOxUA4XU=">AAAE4XiclVK7bhNBFL0bDITwSAwNEs0IK2gtGWt2SUgIQoqggDIP8pCysTVej+1V9jHMjh2H0X4AVIiGIlWQKBCfQQElFBT5BEQZJBoK7u46CgjFgVntzH2ce+bcmWkI34sVpfvGyKnC6TNnR8+Nnb9w8dL4RPHyahx1pctX3MiP5HqDxdz3Qr6iPOXzdSE5Cxo+X2tsPUjzaz0uYy8KH6sdwTcD1g69lucyhaF60Zhz2iwIWF3HxJFeu6OYlNE2iWvaEdILeHJkkkEkMQW5S/pEVEzrZr9MRPme05LM1Vai7YTktsN80cloh1Il2rTR8cq1KeLET6RCBqRQmIwHTAv/pa2mTSdgqiMD3WNuUk7MfjnR/UzpEXHQrWMhlyKp2Y7PW8q0KqRfIYjC1uLKb3tU/t4kF1OuT5Ro1ZqdplMzBI079i2aGvaMbdFpYlVpNkowGAtR0XgIDjQhAhe6EACHEBTaPjCI8dsACz+BsU3QGJNoeVmeQwJjWNtFFEcEw+gWzm30NgbREP2UM86qXdzFx19iJYFJ+oW+pQf0I31Hv9Kfx3LpjCPVsoNrI6/loj7+/OryjxOrAlwVdI6qhmpW0ILZTKuH2kUWSbtw8/re01cHy3NLk/oGfU2/of49uk/fYwdh77v7ZpEv7Q7R08LOu9i7h54ccnYaY/npd9BrDkUKxOxgJr2ReCiSQx97Se9Poo7tE9ANPLc830S/hWuY3VuQzU0o4ZvQGD083QgZNMxhTY70UVGAv0J2kqHJP6ITfMGHz5Qcb6zaVet2dXpxqjR/f/CWR+EaXAcT95qBeXgEC7ACrrFnfDA+GZ8LbuFZ4UXhZQ4dMQY1V+CPUdj9BZX0P7U=</latexit>

vacuum DGLAP(vac)
P s!s 0 s 00 (x) :splitting function°¢
1 Æss 0 s 00
2
000
∞s!s 0 s 00 (p; xp, (1 ° x)p) =£ µ? 1, x, 1 ° x; s, s , sp £2 (2º)4 2x(1 ° x)- 標準模型ゲージ相互作用 + top湯川相互作用s<latexit sha1_base64="gg3LT5jeVmu7dXBfEpuO9P0qVL4=">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</latexit>

ga

¡
Q3

=

u3
<latexit sha1_base64="ihHVfJJT6Xlys48kMeEdWJe3+7U=">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</latexit><latexit sha1_base64="RCcqrUyv6DAQU4aOUlLs3kOIK9w=">AAADp3icjVK7bhNBFL3O8kjCIwk0kWhWWEHQWHedGIdUUSigI46xYylE1u567IyyL+2ODWaVH4iUNimoQKJAfAYNP0CRT0CUQaKh4OysI0SRDTOamfs45869d8aJPJko5tPSlHHl6rXr0zOzN27euj03v3CnnYTD2BUtN/TCuOPYifBkIFpKKk90oljYvuOJbWf/aebfHok4kWHwUo0jsevbg0D2pWsrmJqN7nJ3vswVa7XGK3UTwpPqMmdCtV61uGZaFdajTJOxGS6UntEr6lFILg3JJ0EBKcge2ZRg7pCFGcG2SylsMSSp/YIOaBbcIVACCBvWfewDaDsTawA9i5lototbPKwYTJOW+Bt/4jP+yp/5O/++MFaqY2S5jHE6OVdE3bnDxeavS1k+TkV7f1mFOSvq06rOVSL3SFuyKtycP3p7ctZc21pKH/AH/oH83/Mpf0EFwein+7Ehtt4V5NNH5UPULqHFBb1LYcu7vwetV4iMgBnDk71IUogU9Aa1ZO8XI4/Xl6Ad9C3396D3cQb63Xy996iMP5HCet7dEBFSWgMnR3rIyMdSiG5qtPmf6AP84PNval4stKsV63Gl1lgpr29M/vI03aP79BB31WmdntMmtVDTgI7omE6MR8YLo210cuhUacK5S/8Mw/4DD7nKLw==</latexit>s<latexit sha1_base64="gg3LT5jeVmu7dXBfEpuO9P0qVL4=">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</latexit>(a) (a)Æsg a s = d R C R Æass

- 媒質中の干渉 → LPM効果
self-consistent eq.

<latexit sha1_base64="Hl43VnNJMZTFrae7u45lrF55+YE=">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</latexit><latexit sha1_base64="X6iR+SMORKlFLTfuup3y1JX3MZE=">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</latexit><latexit sha1_base64="zyvYi+MUpa8fizygtvFDLejMaKA=">AAAD63icjVJNTxNBGH7L+oH4QcGLiZeNDaYkppkt1EJPRGP0WMACCYVmdzttJ+xXZqeFutk/4NWDiXrRhIPhZ3jx6sED+guMR0y8ePDZ3RLigeJMZuZ9n3med953ZqzAEaFi7Dg3oV26fOXq5LWp6zdu3prOz8xuhH5f2rxh+44vtywz5I7weEMJ5fCtQHLTtRy+ae09TvY3B1yGwveeq2HAd1yz64mOsE0FqJV/Um9Fod6UottTppT+vh7uRs1ACpfHZ6Y+QuLdqNh0TdWTbjQw7Xg+Lh7MNx/UWvkCKxlLFbZY1WEslxdYYpSrZYNVdKPE0lagUav7M7mn1KQ2+WRTn1zi5JGC7ZBJIfo2GegBsB2KgElYIt3nFNMUtH2wOBgm0D3MXXjbI9SDn8QMU7WNUxwMCaVOc+wr+8hO2Gd2xH6wP+fGitIYSS5DrFam5UFr+uWd9d8XqlysinpnqrE5K+rQUpqrQO5BiiRV2Jl+8OL1yXptbS66zz6wn8j/PTtmn1CBN/hlH67ytbdj8umg8j5qF/DkmLuLgGW334PXHssMwBliJ3mRcCyT0wFqSd5PIo/9C9gW7i3bb8PvYPXSd3PTuU0F/IkI6Ont+ogQUQ2ajOkgIxdDIbqesvX/ZMf4waffVD/f2CiXjIelyupiYeXR6C9P0l26R0WcVaUVekZ1aqCmI/pC3+i75mqvtDfau4w6kRtpbtM/TTv8C9Eg5pY=</latexit>

+

+

+

<latexit sha1_base64="abtI6eusmbBLCl1CCFzKOgDzlbg=">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</latexit>Æu3 ¡Q 3 = Æt<latexit sha1_base64="LWIMLxMKWrGqqfGVwc3yY6ESFXE=">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</latexit>↪︎ Leading Logは解析的に求まる．

+…

[KM, Yamada 2208.11708]

���高エネルギー標準模型粒子のカスケードg<latexit sha1_base64="OwT9JMnoUgMYFM0A2SksD8tbdcc=">AAANsXiclVdBbxtFFH5toZSAaQsXJC4WUVErBbNuaUFIoEoIFQlFStIkLYqjdHczG6+8Xm92Nybp1vwAuII4cAKJA+JncOEPcOhPQByLxIUD33s73l3H8c7Wlu2Zb9/33jcz782MnSjwk9Synp47f+GFFy++dOnlpVdebb12+crV17eT0VHsqi13FIzih46dqMAP1Vbqp4F6GMXKHjqBeuAMPuXnD8YqTvxRuJmeRGp3aB+Evue7dgpo/WDvyrLVseTVnm90dWOZ9GttdPXiKvVon0bk0hENSVFIKdoB2ZTgvUNdsigCtksZsBgtX54rmtASuEewUrCwgQ7wfYDejkZD9NlnImwXUQJ8YjDbdM360/rVemb9Yf1m/WX9t9BXJj5Yywl+nZyror3L37x5/18ja4jflPolq1ZzSh59KFp9aI8E4VG4OX/8+Idn9z/auJa9Y/1s/Q39P1lPrd8xgnD8j/vLutr4Ed4XK3KgZgV+Zueh6bhXdN8Dk9coAZLoderDfr+w4PEOi950BlbgNUY7QptX8Fi0JPB2BC91a+kKi9edI38MBTYYbMkzlYDlAPNhvdhLJvwBPUbU45kZWKqdM0/0xeCqwroHFYq+Ei9DGV+I0WfAx8DHsOKsZW1tYJypHqL3ZK5C+GWkjafLsJqITSzq+2IVz1hNauM5Yn063tlRnhi9DYCnM96ezOlsrk3RNixyTW1BYjxva9zE/mIhf9DQw2rhgflVD6sNPdxb6OFeQw+bCz1sNvTQ1WyuwBEyNxOkh1xJdK5ylr6LPbJDN+k2ekN5XtpzbdXH2JDqLdedsbJCMnzy52UuTIyVEKA30NqnFXBdfLRreXGFV1bFDcMIAnBOR9tpFG1wRrRdY7T+XDTO0kxW0xyzf0ZM5puzYR94oLlRcRragpniBrJTVDXP7hUTo257TvXsjlCvvS86Pe3DE6ar8zlD7ppzygE+1cDtAzkl81sBezsxZrqqeFAabc7mmIdnxGc0fE4Vh6dUPL+Pw0rFfoZeh75GhfWkWr2iUm8YZ3VfajvfY/KTmmswE9S0w0Y6G1dpr7K3rTXYc4ZyWmf4ZeYteq/IgMUcG7OeVEZdzeSxnM9pzbk6tTDpyu8npbZegdQzP8fdYrrTl3ORo/VMT99EuH2I24YNnNXz3e8Y35m2aDdYEc7I3FPJnqImrg37eW6Omk5rG3MU6DtShn6P3pbamhS4aW9zKzPPq8W1MEXqz9h4TnWOmfZSX255E33i5etVomDj30z39H+X+cb2zU73Tuf2+vvLdz/R/2su0VsY/3Xk4Qd0FzmwRltyUn9L39H3rVutL1uPWk5uev6c5rxBM6/W4H8P8roy</latexit>

ef<latexit sha1_base64="hbWPrP0f7ezO+selrBeWVlU1DFY=">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</latexit>

Q f 0 Q3
<latexit sha1_base64="VjH80kvEh2+ioRfVUpFw1MUEndc=">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</latexit>

��-�W<latexit sha1_base64="VGZK9RP/BUNYmir77ycR657v6Bo=">AAANsXiclVfPj9tEFH4tUMpCaAsXJC4Rq6JWWoLTUkBIoEoIFQmttLvdH0Wb1db2jjdWHMdre8Nu3fAHwBXEgRNIHBB/Bhf+AQ79ExDHInHhwPeeJ7az2XjcRElmPr/vvW9m3puZOFHgJ6llPblw8bnnX7j04uWXll5+pfXqlavXXttORsexq7bcUTCKHzh2ogI/VFupnwbqQRQre+gEascZfMrPd8YqTvxRuJmeRmpvaB+Gvue7dgpofWf/6rLVseTVnm90dWOZ9GttdO3SKvXogEbk0jENSVFIKdoB2ZTgvUtdsigCtkcZsBgtX54rmtASuMewUrCwgQ7wfYjerkZD9NlnImwXUQJ8YjDbdN360/rVemr9Yf1m/WX9t9BXJj5Yyyl+nZyrov0r37xx/18ja4jflPolq1ZzSh59KFp9aI8E4VG4OX/86Ien9z/auJ69bf1s/Q39P1lPrN8xgnD8j/vLutr4Ed4XK3KgZgV+Zueh6bhXdN8Dk9coAZLoderD/qCw4PEOi950BlbgNUY7QptX8ES0JPB2DC91a+kKi9edI38MBTYYbMkzlYDlAPNhvdhLJvwBPULUk5kZWKqdM0/0xeCqwroHFYq+Ei9DGV+I0WfAx8DHsOKsZW1tYJypHqL3ZK5C+GWkjafLsJqITSzq+2IVz1hNauM5Yn023vlRHhu9DYCnM94ez+lsrk3RNixyTW1BYjxva9zE/mIhf9DQw2rhgflVD6sNPdxb6OFeQw+bCz1sNvTQ1WyuwBEyNxOkh1xJdK5ylr6DPbJDt+gOekN5XtpzbdXH2JDqLdedsbJCMnzy52UuTIyVEKA30NqnFXBDfLRreXGFV1bFTcMIAnDORtttFG1wTrQ9Y7T+XDTO0kxW0xyzf05M5puz4QB4oLlRcRragpniBrJTVDXP7hUTo257TvXsjlCvvS86Pe3DE6ar8zlD7ppzygE+1cDtQzkl81sBezs1ZrqqeFAabc7mmEfnxGc0fEYVR2dUPLuPo0rFfoZeh75GhfWkWr2iUm8aZ/VAajvfY/KTmmswE9S0w0Y6G1dpv7K3rTXYc4ZyWmf4ZeZterfIgMUcG7OeVEZdzeSxnM9pzbk6tTDpyu8npbZegdQzP8fdYrrTl3ORo/VMT99EuH2E24YNnNXz3e8E35m2aDdYEc7I3FPJnqImrg37eW6Omk5rG3MU6DtShn6P3pLamhS4aW9zKzPPq8W1MEXqz9h4TnWOmfZSX255E33i5etVomDj30z37H+X+cb2rU73/c6d9feW736i/9dcpjcx/hvIww/oLnJgjbbkpP6WvqPvW7dbX7Yetpzc9OIFzXmdZl6twf87E7oi</latexit>u f 0 u3 d f<latexit sha1_base64="tCvvNe9xddSo657WuakuvBCAFFQ=">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</latexit>

���

V (¡)

¡

<latexit sha1_base64="8xDpCGfJhH+Ghet84/hqSnLM/Ho=">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</latexit>

Standard Model

Lf<latexit sha1_base64="k3KP2px37jmTO14EmiliGgJKs48=">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</latexit><latexit sha1_base64="Xik936Vk10+qxI6p4++wjgP7Tus=">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</latexit>

?

B

��-�
¡
<latexit sha1_base64="15y7fpc6W0rUGfr0xEaueyDUWV0=">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</latexit>g<latexit sha1_base64="OwT9JMnoUgMYFM0A2SksD8tbdcc=">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</latexit>

���

ef
Lf

��-�

Qf 0
<latexit sha1_base64="1CsdFlRgJL3ZF3GXpiiiI2oZqdw=">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</latexit>

���

���

<latexit sha1_base64="h8MS0ivz7aWo4aYyOdIZrBqCkKI=">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</latexit><latexit sha1_base64="k3KP2px37jmTO14EmiliGgJKs48=">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</latexit>

W<latexit sha1_base64="VGZK9RP/BUNYmir77ycR657v6Bo=">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</latexit>���<latexit sha1_base64="1MMVexVT4u/Fv77/z2nnxTeABG4=">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</latexit>

Lf

uf df
Qf
<latexit sha1_base64="uMwgDW2e/TlDpb8tMCTf/QEndWA=">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</latexit><latexit sha1_base64="dgv2UAFHlumfsyskOUoQVpdxQTw=">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</latexit>

���

���

����Q 3<latexit sha1_base64="KNPV0nTAXxSYclFqse4/U4f76OY=">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</latexit>����u f 0 u3 d f<latexit sha1_base64="tCvvNe9xddSo657WuakuvBCAFFQ=">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</latexit><latexit sha1_base64="EuDxezUAcmWrfQf2zfJFKeaZolk=">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</latexit>

ef

��-�

fl

fl

¡
<latexit sha1_base64="15y7fpc6W0rUGfr0xEaueyDUWV0=">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</latexit>

��-�

クォーク

レプトン

• 普遍的な分布に漸近 @ p ≪ インフラトン質量In aton → gluon + gluon

���

���

���

���

���

��-�

��-�

��-�

-�
��
��

���

���

���

���

B
<latexit sha1_base64="8xDpCGfJhH+Ghet84/hqSnLM/Ho=">AAANsXiclVfPbxtFFH5toZSA6Q8uSFwsoqJWCmbdUkBIoAqEioQiJWmSFsVR2N3Mxiuv15vdjUm6NX8AXEEcOIHEAfFncOEf4NA/AXEsEhcOfO/teHcdxztbW7Znvn3fe9/MvDczdqLAT1LLenLu/IXnnr/4wqUXl156ufXK5StXr20no6PYVVvuKBjFDx07UYEfqq3UTwP1MIqVPXQC9cAZfMLPH4xVnPijcDM9idTu0D4Ifc937RTQ+sd7V5atjiWv9nyjqxvLpF9ro6sXV6lH+zQil45oSIpCStEOyKYE7x3qkkURsF3KgMVo+fJc0YSWwD2ClYKFDXSA7wP0djQaos8+E2G7iBLgE4PZpuvWn9av1lPrD+s36y/rv4W+MvHBWk7w6+RcFe1d/ua1+/8aWUP8ptQvWbWaU/LofdHqQ3skCI/CzfnjRz88vf/BxvXsTetn62/o/8l6Yv2OEYTjf9xf1tXGj/C+WJEDNSvwMzsPTce9ovsemLxGCZBEr1Mf9vuFBY93WPSmM7ACrzHaEdq8gseiJYG3I3ipW0tXWLzuHPlDKLDBYEueqQQsB5gP68VeMuEP6BGiHs/MwFLtnHmiLwZXFdY9qFD0lXgZyvhCjD4DPgY+hhVnLWtrA+NM9RC9J3MVwi8jbTxdhtVEbGJR3xereMZqUhvPEevT8c6O8tjobQA8nfH2eE5nc22KtmGRa2oLEuN5W+Mm9ucL+YOGHlYLD8yvelht6OHeQg/3GnrYXOhhs6GHrmZzBY6QuZkgPeRKonOVs/Qt7JEdukV30BvK89Kea6s+xoZUb7nujJUVkuGTPy9zYWKshAC9gdY+rYAb4qNdy4srvLIqbhpGEIBzOtpOo2iDM6LtGqP156JxlmaymuaY/TNiMt+cDfvAA82NitPQFswUN5Cdoqp5dq+YGHXbc6pnd4R67X3R6WkfnjBdnc8ZctecUw7wqQZuH8gpmd8K2NuJMdNVxYPSaHM2xzw8Iz6j4TOqODyl4tl9HFYq9lP0OvQ1Kqwn1eoVlXrTOKv7Utv5HpOf1FyDmaCmHTbS2bhKe5W9ba3BnjOU0zrDLzNv09tFBizm2Jj1pDLqaiaP5XxOa87VqYVJV34/KbX1CqSe+RnuFtOdvpyLHK1nevomwu1D3DZs4Kye737H+M60RbvBinBG5p5K9hQ1cW3Yz3Nz1HRa25ijQN+RMvR79IbU1qTATXubW5l5Xi2uhSlSf8bGc6pzzLSX+nLLm+gTL1+vEgUb/2a6p/+7zDe2b3W673burL+zfPcj/b/mEr2O8d9AHr5Hd5EDa7QlJ/W39B1937rd+qL1ZcvJTc+f05xXaebVGvwPI7O6DQ==</latexit>

��-�

���

���

����

��

���

���

���

���

ヒッグス
��

����

In aton → Higgs + Higgs

���

���

Bµ

Wµ

gµ

U(1)

SU(2)

SU(3)

<latexit sha1_base64="MhbHWkGeViqtsntcXj66hvgNc08=">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</latexit><latexit sha1_base64="cLCmRfjmWLzIl7xsVikFX62/UbY=">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</latexit><latexit sha1_base64="hbWPrP0f7ezO+selrBeWVlU1DFY=">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</latexit><latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">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</latexit>

����

©

<latexit sha1_base64="XK2VfkLu4ZVoa7OxnYTiHx+Wa7A=">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</latexit><latexit sha1_base64="f7JSlkcsaBmsDwSmaNsdscRfz6g=">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</latexit>

���

���

����

-�

��-�

����

��-��
��-�� -�
��

����

��-�

��-�

��-�

��-�

��-�

���

[KM, Yamada 2208.11708]

普遍的な分布に漸近 @ p ≪ インフラトン質量
���

���
g

���

���

<latexit sha1_base64="OwT9JMnoUgMYFM0A2SksD8tbdcc=">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</latexit>

���

W

���

���
ef

���

B
<latexit sha1_base64="8xDpCGfJhH+Ghet84/hqSnLM/Ho=">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</latexit><latexit sha1_base64="hbWPrP0f7ezO+selrBeWVlU1DFY=">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</latexit><latexit sha1_base64="VGZK9RP/BUNYmir77ycR657v6Bo=">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</latexit>

Qf 0<latexit sha1_base64="1CsdFlRgJL3ZF3GXpiiiI2oZqdw=">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</latexit><latexit sha1_base64="OwT9JMnoUgMYFM0A2SksD8tbdcc=">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</latexit>

Q3

u f 0 u3 d f���<latexit sha1_base64="tCvvNe9xddSo657WuakuvBCAFFQ=">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</latexit>

���
Lf

g

���

<latexit sha1_base64="KNPV0nTAXxSYclFqse4/U4f76OY=">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</latexit>���

Q f 0 Q3
<latexit sha1_base64="VjH80kvEh2+ioRfVUpFw1MUEndc=">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</latexit>u f 0 u3 d f<latexit sha1_base64="tCvvNe9xddSo657WuakuvBCAFFQ=">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</latexit><latexit sha1_base64="k3KP2px37jmTO14EmiliGgJKs48=">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</latexit>

ef

���

<latexit sha1_base64="hbWPrP0f7ezO+selrBeWVlU1DFY=">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</latexit>

W<latexit sha1_base64="VGZK9RP/BUNYmir77ycR657v6Bo=">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</latexit>

Lf<latexit sha1_base64="k3KP2px37jmTO14EmiliGgJKs48=">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</latexit>

B<latexit sha1_base64="8xDpCGfJhH+Ghet84/hqSnLM/Ho=">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</latexit>¡<latexit sha1_base64="15y7fpc6W0rUGfr0xEaueyDUWV0=">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</latexit>

��-�

��-�

���

���

���

���

����

��-�

����

��-�

��-�
���

���

���

���

����

����

��-�

��-�

¡
<latexit sha1_base64="15y7fpc6W0rUGfr0xEaueyDUWV0=">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</latexit>

���

���

���

���

����

����

��-�

���

���

���

���

���

���

����

����

���

����

����

���
���

���

���

���

���

���

���

���

���

��
��-�

��-�

��-�

��-�

��
��-��

��-�

���

���

���

���

����

����

���

���

��-�

���

���

���

���

����

����

��-�

���

���

���

���

���

��-�

���

��-�

���

���

���

���

����

����

���

���

���

���

����

����

���

���

���
���
��-�

��-�

��-�

��-�

���

���

���

���

����

����

��-�

���

���

���

���

����

����

��-�

�

-�

��-�

��-�� -�
��

��-�

���

��-�

��-�

��-�

��-�

���

[KM, Harigaya 1312.3097, KM, Yamada 2208.11708]
���

���
g

g

<latexit sha1_base64="OwT9JMnoUgMYFM0A2SksD8tbdcc=">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</latexit>���

インフレーション後の再加熱・熱化<latexit sha1_base64="OwT9JMnoUgMYFM0A2SksD8tbdcc=">AAANsXiclVdBbxtFFH5toZSAaQsXJC4WUVErBbNuaUFIoEoIFQlFStIkLYqjdHczG6+8Xm92Nybp1vwAuII4cAKJA+JncOEPcOhPQByLxIUD33s73l3H8c7Wlu2Zb9/33jcz782MnSjwk9Synp47f+GFFy++dOnlpVdebb12+crV17eT0VHsqi13FIzih46dqMAP1Vbqp4F6GMXKHjqBeuAMPuXnD8YqTvxRuJmeRGp3aB+Evue7dgpo/WDvyrLVseTVnm90dWOZ9GttdPXiKvVon0bk0hENSVFIKdoB2ZTgvUNdsigCtksZsBgtX54rmtASuEewUrCwgQ7wfYDejkZD9NlnImwXUQJ8YjDbdM360/rVemb9Yf1m/WX9t9BXJj5Yywl+nZyror3L37x5/18ja4jflPolq1ZzSh59KFp9aI8E4VG4OX/8+Idn9z/auJa9Y/1s/Q39P1lPrd8xgnD8j/vLutr4Ed4XK3KgZgV+Zueh6bhXdN8Dk9coAZLoderDfr+w4PEOi950BlbgNUY7QptX8Fi0JPB2BC91a+kKi9edI38MBTYYbMkzlYDlAPNhvdhLJvwBPUbU45kZWKqdM0/0xeCqwroHFYq+Ei9DGV+I0WfAx8DHsOKsZW1tYJypHqL3ZK5C+GWkjafLsJqITSzq+2IVz1hNauM5Yn063tlRnhi9DYCnM96ezOlsrk3RNixyTW1BYjxva9zE/mIhf9DQw2rhgflVD6sNPdxb6OFeQw+bCz1sNvTQ1WyuwBEyNxOkh1xJdK5ylr6LPbJDN+k2ekN5XtpzbdXH2JDqLdedsbJCMnzy52UuTIyVEKA30NqnFXBdfLRreXGFV1bFDcMIAnBOR9tpFG1wRrRdY7T+XDTO0kxW0xyzf0ZM5puzYR94oLlRcRragpniBrJTVDXP7hUTo257TvXsjlCvvS86Pe3DE6ar8zlD7ppzygE+1cDtAzkl81sBezsxZrqqeFAabc7mmIdnxGc0fE4Vh6dUPL+Pw0rFfoZeh75GhfWkWr2iUm8YZ3VfajvfY/KTmmswE9S0w0Y6G1dpr7K3rTXYc4ZyWmf4ZeYteq/IgMUcG7OeVEZdzeSxnM9pzbk6tTDpyu8npbZegdQzP8fdYrrTl3ORo/VMT99EuH2I24YNnNXz3e8Y35m2aDdYEc7I3FPJnqImrg37eW6Omk5rG3MU6DtShn6P3pbamhS4aW9zKzPPq8W1MEXqz9h4TnWOmfZSX255E33i5etVomDj30z39H+X+cb2zU73Tuf2+vvLdz/R/2su0VsY/3Xk4Qd0FzmwRltyUn9L39H3rVutL1uPWk5uev6c5rxBM6/W4H8P8roy</latexit>

���W<latexit sha1_base64="VGZK9RP/BUNYmir77ycR657v6Bo=">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</latexit>

Qf 0<latexit sha1_base64="1CsdFlRgJL3ZF3GXpiiiI2oZqdw=">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</latexit>

W<latexit sha1_base64="VGZK9RP/BUNYmir77ycR657v6Bo=">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</latexit>

Qf 0

Q3

<latexit sha1_base64="1CsdFlRgJL3ZF3GXpiiiI2oZqdw=">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</latexit><latexit sha1_base64="KNPV0nTAXxSYclFqse4/U4f76OY=">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</latexit>u f 0 u3 d f

���

Lf

Q3
<latexit sha1_base64="KNPV0nTAXxSYclFqse4/U4f76OY=">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</latexit><latexit sha1_base64="tCvvNe9xddSo657WuakuvBCAFFQ=">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</latexit>u f 0 u3 d f<latexit sha1_base64="tCvvNe9xddSo657WuakuvBCAFFQ=">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</latexit>���<latexit sha1_base64="k3KP2px37jmTO14EmiliGgJKs48=">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</latexit>ef

Lf<latexit sha1_base64="k3KP2px37jmTO14EmiliGgJKs48=">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</latexit><latexit sha1_base64="hbWPrP0f7ezO+selrBeWVlU1DFY=">AAANs3iclVfPj9tEFH4tUMpCaAsXJC4Rq6JWWoJTWEBIoEoIFQmttN1frbRZrWxnvLFiO1nbG3brhj8AiSs9cAKJA+LP4MI/wKF/AuJYJC4c+N7zxHY2G4+bKMnM5/e9983MezMTZxz4SWpZTy9dfuHFl668fPWVlVdfa71+7fqNN/aS0Unsql13FIzih46dqMCP1G7qp4F6OI6VHTqBeuAMv+DnDyYqTvxRtJOejdVBaB9Fvue7dgpoWx16h9dXrY4lr/Zio6sbq6Rfm6MbVzaoR30akUsnFJKiiFK0A7IpwXufumTRGNgBZcBitHx5rmhKK+CewErBwgY6xPcRevsajdBnn4mwXUQJ8InBbNNN60/rV+uZ9Yf1m/WX9d9SX5n4YC1n+HVyrhofXvvure1/jawQvykNSlat5pQ8+kS0+tA+FoRH4eb8yaMnz7Y/3bqZvWv9bP0N/T9ZT63fMYJo8o/7y3219SO8L1fkQM0a/MzPQ9Nxr+m+ByavUQIk0es0gH2/sODxhkVvNgNr8BqjPUabV/BUtCTwdgIvdWvpCovXnSN/BgU2GGzJM5WA5QDzYb3cSyb8IT1C1NO5GVipnTNP9MXgqsK6BxWKvhEvoYwvwugz4BPgE1hx1rK2NjDOVA/RezJXEfwy0sbTVVhNxSYW9QOxiuesprXxHLE+H+/iKI+N3obA0zlvjxd0NtemaA8Wuaa2IDGetzVuYn+9lD9s6GGj8MD8qoeNhh7uLfVwr6GHnaUedhp66Go2V+AImZsJ0kOuJDpXOUvfwx7ZoTu0jl4oz0t7rq36GFtSveW6M1ZWSIZP/rzMhamxEgL0hlr7rAJuiY92LS+u8MqquG0YQQDO+Wj7jaINL4h2YIw2WIjGWZrJappjDi6IyXxzNvSBB5o7Lk5DWzBT3EB2iqrm+b1iatRtL6ie3xHqtQ9Ep6d9eMJ0dT5nyF1zTjnAZxq4fSSnZH4rYG9nxkxXFQ9Ko83ZHPP4gviMRs+p4viciuf3cVyp2C/R69C3qLCeVKtXVOpt46z2pbbzPSY/qbkGM0FNO+xYZ+MGHVb2ts0Ge04op3WGX2Z+QO8XGbCcY2PWk8qoq5k8kfM5rTlXZxYmXfn9pNTWK5B65le4W8x2+nIucrSe6embCLePcduwgbN6vvud4jvTFu0GK8IZmXsq2TPUxLVhv8jNUdNpbWOOAn1HytDv0TtSW9MCN+1tbmXmebW4FmZI/RkbL6jOMdNe6sstb6pPvHy9ShRs/Jvpnv/vstjYu9PpftRZv//h6t3P9f+aq/Q2xn8Lefgx3UUObNIuFBzR9/QDPWmtt/ZbTqufm16+pDlv0tyrFf4PlLS7CQ==</latexit>Bef<latexit sha1_base64="hbWPrP0f7ezO+selrBeWVlU1DFY=">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</latexit><latexit sha1_base64="8xDpCGfJhH+Ghet84/hqSnLM/Ho=">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</latexit>¡<latexit sha1_base64="15y7fpc6W0rUGfr0xEaueyDUWV0=">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</latexit>

��-�

V (¡)

��-�

<latexit sha1_base64="Xik936Vk10+qxI6p4++wjgP7Tus=">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</latexit>

���

���

���

���

����

合

大

B
<latexit sha1_base64="8xDpCGfJhH+Ghet84/hqSnLM/Ho=">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</latexit>¡<latexit sha1_base64="15y7fpc6W0rUGfr0xEaueyDUWV0=">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</latexit>

��-�

��-�

����

普遍的な分布に漸近!

結
¡

���

���

���

���

���

���

��-�

��-�

���

���

���

���

����

����

まだできてないこと- ジェットの非一様な発展？
- 局所高温領域？
-…

<latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">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</latexit>

結

合

小

非平衡状態
インフラトン凝縮

��-�f SM (p, t )1<latexit sha1_base64="QvhMMyExqgr1gI4NqYir8qMZ7cw=">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</latexit>

���

��-�

���

������

� ��
����

� ��
����

���

����

����

↪︎ 例: UV insensitiveな暗黒物質生成

高エネル
ギー標準
模型粒子
媒質中で
の
のカスケ
ード

非常に
遅い崩
壊
↪︎希薄
なイン
フラト
ン
<latexit sha1_base64="JBw4wh2aWtyoFPTQpFl8X0op8mQ=">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</latexit>���Standard Model+…

密度

Figureleft),
4: Sameas Fig.right),
3, but ¡theprimary
particle
is injected solely for Q f 0 (upper left), Q 3 (upper right), ¡ (middle left), g (middle
Figure 4: Same as Fig. 3, but the primary particle is injected solely for Q f 0 (upper
Q 3 (upper(middleleft),g (middle
right), W (lower left), and B (lower right).

right), W (lower left), and B (lower right).

<latexit sha1_base64="cU/GGlX4m6ApHc2YlCkQsf0t/b0=">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</latexit>¡

confirm
this,defineconfirm this, we define an asymptotic value of total distributions
for eachs injwesuch
as an asymptotic value of total distributions for each s inj such as
Ø
Ø
X
Ø
X
Ø
(asym)(asym)
Øf tot,s(p) ¥∫s f s (p)ØØ
,f tot,sinj (p) ¥∫s f s (p)Ø
,
(4.5)
inj
(s )
(s )

p
<latexit sha1_base64="Bghc8MhpeIuKASRzwidWLJEZZS4=">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</latexit>

T<latexit sha1_base64="3kQSQqxLK2aM0RW56VF9jidLaTc=">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</latexit>m ¡ /2<latexit sha1_base64="wEi4dX14i4/y1MlbosiyTmmmTEw=">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</latexit>

s

inj

s

µ

p<p asym(asym) p¥ °̃ f˜tot,sinj
p0

∂°7/2

.

(4.6)

µ

inj
p<p asym∂°7/2
p(asym)¥ °̃ f˜tot,sinj
.
p0

熱プラズマ

(4.5)
(4.6)

BackupMore onin-medium cascades of high-energy SM particles• LPM-suppressed splitting functions(vac)
P s!s 0 s 00 (x)<latexit sha1_base64="FKpVBLhW8xXtkJkUsAyEOxUA4XU=">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</latexit>

vacuum DGLAP(vac)
P s!s 0 s 00 (x) :splitting function°¢
1 Æss 0 s 00
2
000
∞s!s 0 s 00 (p; xp, (1 ° x)p) =£ µ? 1, x, 1 ° x; s, s , sp £2 (2º)4 2x(1 ° x)- 標準模型ゲージ相互作用 + top湯川相互作用(a) (a)Æsg a s = d R C R Æass

- 媒質中の干渉 → LPM効果
self-consistent eq.

<latexit sha1_base64="abtI6eusmbBLCl1CCFzKOgDzlbg=">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</latexit>Æu3 ¡Q 3 = Æt<latexit sha1_base64="LWIMLxMKWrGqqfGVwc3yY6ESFXE=">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</latexit>↪︎ Leading Logは解析的に求まる．

°¢°¢
X Æa m D,a ° Æa Q ?,a24°¢µ? (x 1 , x 2 , x 3 ; s 1 , s 2 , s 3 ) = x 1 x 2 x 3 p
Na3º°b a / 64ºai
X 1 h (a)2£CR
+C R(a) °C R(a) x æ(1)s æ(2)s æ(3)s æ(1)2
æ2A 3<latexit sha1_base64="/D5F7a3jL7UdDwuNbT8ca1sCYyA=">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</latexit>

ef

Lf

uf
F

CF
4/3
3/4
q Y2

CA
3
2
0

dF
3
2
1

df
F

Qf
©
SU(3)
F
SU(2)
F
F
F
U(1) °1 °1/2 2/3 °1/3 1/6 1/2

g W
A
A

B

<latexit sha1_base64="LAkVeuzxq0WxQiBGghx91a0Ah6g=">AAAFKnicjVI7bxNBEB4bA8E8kkDDo1lhJXJEbPbOzoMAUlCQoEJJIA/JZ5/2zmv7lHvlHiFhdRUdf4CCCiQKBP+ChhqJIqKlAcog0VAw97ASIsVhT7e7M/N9s9/Mruaahh9QupvLnyicPHV66Ezx7LnzF4ZHRi+u+k7o6XxFd0zHW9eYz03D5iuBEZh83fU4szSTr2kbC3F8bYt7vuHYT4Idlzct1rWNjqGzAF3qaO65YoWqUFzuuVGrrpi8E5S3VWmSbKtyPNXIbeLHth/bvlpTPKPbCybukvGi0vGYLuQI6UaEWCkmJRyXKH5oqYxkGIWZbo+hnR5ALFXcnyQsypKRCjmEWMo0HQRFoqIh4GaKmK4TPLbV1xMRxWJBT2emeBQhiihKo1KVudUk48rmZsjaRAkMi/vFRJlQfKNr4WmGTe6pNWQnOqUIy0nyN4oLqlhWhd+HluWJKIpaoswmohuHY7X9WOVwTNqPpVqb2KIDwZasjpRoVZqdovUZgptbco3GG3lGlugUkao0GSXIxqIzmnsACrTBAR1CsICDDQHuTWDg49cACT8XfU0Q6PNwZyRxDhEUkRsiiiOCoXcD5y5ajcxrox3n9BO2jqeY+HvIJDBGv9B3dI9+ou/pd/rnyFwiyRFr2cFVS7ncVYdfXH78+1iWhWsAvX3WQM0BdGA20WqgdjfxxFXoKX/r2cu9x3PLY2KcvqE/Uf9ruks/YgX21i/97RJffjVATwcrD7F2Ay1vQO8E+tLu99BqD0S6iNnBSHwj/kAkh22sJb4/D3U8PQatYd/SeBvtDq52cm9WMrehhG9CoLffXQczCJhDToo0UZGFf4DZSYIm/4mO8AX3nyk5erMqV6Xp6tRSvTR/J3vLQ3ANrkMZz5qBeXgIi7ACeu5HfiR/JX+18KHwubBb+JpC87mMcwn+GYVvfwGLG1HG</latexit><latexit sha1_base64="stEjQ0aH/nZNtQ5C4HinIjtt/rs=">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</latexit>

SU(3)
SU(2)
U(1)

dA
8
3
1

tF
1/2
1/2
q Y2

tA
3
2
0

<latexit sha1_base64="zyvYi+MUpa8fizygtvFDLejMaKA=">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</latexit><latexit sha1_base64="jKwJIYAg0jcu94pwOFhJM18OwYM=">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</latexit>

ba =

8
>
>
<°7

° 19
6
>
>
: 41
6

Na =

8
≥(3) 3>15>< º2 T≥(3)

14 º2 T 3>>
:6 ≥(3) T 3
º2

2
m D,a
=

8
2
>
8ºÆ
T
>
3
<

22º
2
Æ
T
2
3
>
>
: 22º Æ T 2
1
3

for SU(3)for SU(2)for U(1)

���

���
g

g

<latexit sha1_base64="OwT9JMnoUgMYFM0A2SksD8tbdcc=">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</latexit>���<latexit sha1_base64="OwT9JMnoUgMYFM0A2SksD8tbdcc=">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</latexit>���Implications of cascading high-energy tailW<latexit sha1_base64="VGZK9RP/BUNYmir77ycR657v6Bo=">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</latexit>

Qf 0<latexit sha1_base64="1CsdFlRgJL3ZF3GXpiiiI2oZqdw=">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</latexit>

W<latexit sha1_base64="VGZK9RP/BUNYmir77ycR657v6Bo=">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</latexit>

Qf 0

Q3

<latexit sha1_base64="1CsdFlRgJL3ZF3GXpiiiI2oZqdw=">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</latexit><latexit sha1_base64="KNPV0nTAXxSYclFqse4/U4f76OY=">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</latexit>u f 0 u3 d f

���

Lf

Q3
<latexit sha1_base64="KNPV0nTAXxSYclFqse4/U4f76OY=">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</latexit><latexit sha1_base64="tCvvNe9xddSo657WuakuvBCAFFQ=">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</latexit>u f 0 u3 d f<latexit sha1_base64="tCvvNe9xddSo657WuakuvBCAFFQ=">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</latexit>���<latexit sha1_base64="k3KP2px37jmTO14EmiliGgJKs48=">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</latexit>ef

Lf<latexit sha1_base64="k3KP2px37jmTO14EmiliGgJKs48=">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</latexit><latexit sha1_base64="hbWPrP0f7ezO+selrBeWVlU1DFY=">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</latexit>Bef<latexit sha1_base64="hbWPrP0f7ezO+selrBeWVlU1DFY=">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</latexit><latexit sha1_base64="8xDpCGfJhH+Ghet84/hqSnLM/Ho=">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</latexit>¡<latexit sha1_base64="15y7fpc6W0rUGfr0xEaueyDUWV0=">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</latexit>

��-�

��-�

���

���

���

���

����

B
<latexit sha1_base64="8xDpCGfJhH+Ghet84/hqSnLM/Ho=">AAANsXiclVfPbxtFFH5toZSA6Q8uSFwsoqJWCmbdUkBIoAqEioQiJWmSFsVR2N3Mxiuv15vdjUm6NX8AXEEcOIHEAfFncOEf4NA/AXEsEhcOfO/teHcdxztbW7Znvn3fe9/MvDczdqLAT1LLenLu/IXnnr/4wqUXl156ufXK5StXr20no6PYVVvuKBjFDx07UYEfqq3UTwP1MIqVPXQC9cAZfMLPH4xVnPijcDM9idTu0D4Ifc937RTQ+sd7V5atjiWv9nyjqxvLpF9ro6sXV6lH+zQil45oSIpCStEOyKYE7x3qkkURsF3KgMVo+fJc0YSWwD2ClYKFDXSA7wP0djQaos8+E2G7iBLgE4PZpuvWn9av1lPrD+s36y/rv4W+MvHBWk7w6+RcFe1d/ua1+/8aWUP8ptQvWbWaU/LofdHqQ3skCI/CzfnjRz88vf/BxvXsTetn62/o/8l6Yv2OEYTjf9xf1tXGj/C+WJEDNSvwMzsPTce9ovsemLxGCZBEr1Mf9vuFBY93WPSmM7ACrzHaEdq8gseiJYG3I3ipW0tXWLzuHPlDKLDBYEueqQQsB5gP68VeMuEP6BGiHs/MwFLtnHmiLwZXFdY9qFD0lXgZyvhCjD4DPgY+hhVnLWtrA+NM9RC9J3MVwi8jbTxdhtVEbGJR3xereMZqUhvPEevT8c6O8tjobQA8nfH2eE5nc22KtmGRa2oLEuN5W+Mm9ucL+YOGHlYLD8yvelht6OHeQg/3GnrYXOhhs6GHrmZzBY6QuZkgPeRKonOVs/Qt7JEdukV30BvK89Kea6s+xoZUb7nujJUVkuGTPy9zYWKshAC9gdY+rYAb4qNdy4srvLIqbhpGEIBzOtpOo2iDM6LtGqP156JxlmaymuaY/TNiMt+cDfvAA82NitPQFswUN5Cdoqp5dq+YGHXbc6pnd4R67X3R6WkfnjBdnc8ZctecUw7wqQZuH8gpmd8K2NuJMdNVxYPSaHM2xzw8Iz6j4TOqODyl4tl9HFYq9lP0OvQ1Kqwn1eoVlXrTOKv7Utv5HpOf1FyDmaCmHTbS2bhKe5W9ba3BnjOU0zrDLzNv09tFBizm2Jj1pDLqaiaP5XxOa87VqYVJV34/KbX1CqSe+RnuFtOdvpyLHK1nevomwu1D3DZs4Kye737H+M60RbvBinBG5p5K9hQ1cW3Yz3Nz1HRa25ijQN+RMvR79IbU1qTATXubW5l5Xi2uhSlSf8bGc6pzzLSX+nLLm+gTL1+vEgUb/2a6p/+7zDe2b3W673burL+zfPcj/b/mEr2O8d9AHr5Hd5EDa7QlJ/W39B1937rd+qL1ZcvJTc+f05xXaebVGvwPI7O6DQ==</latexit>¡<latexit sha1_base64="15y7fpc6W0rUGfr0xEaueyDUWV0=">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</latexit>

��-�

��-�

����

• Universality for p ≪ In aton mass

���

���

���

���

���

���

��-�

��-�

��-�

• UV-insensitive Dark Matter production

���

���

��-�

���

���

���

���

���

����

����

������

� ��
����

� ��
����

���

����

����

[KM+ 1402.2846, 1901.11027]<latexit sha1_base64="JBw4wh2aWtyoFPTQpFl8X0op8mQ=">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</latexit>f SM (p, t ) Dissi
pa
tio
1
n

SM

<latexit sha1_base64="QvhMMyExqgr1gI4NqYir8qMZ7cw=">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</latexit>

DM

Independent of In aton decay

3
T
Ω DM
R
2
' 0.33ÆDM 2sm DM
Figure 4: Same as Fig. 3, but the primary particle is injected solely for Q (upper left), Q (upper right), ¡ (middle le<latexit

sha1_base64="3fWSpj63qhWZoVWrCtR2QN2Hxww=">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</latexit>/ p °7/2 Source termfrom in atonpSMright), W (lower left), and B (lower right).
m ¡ /2<latexit sha1_base64="JHxI/gaAhAN4SXGiKj6HievVmJo=">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</latexit>

DM

Figure 4: Same as Fig. 3, but the primary particle is injected solely for Q f 0 (upper left), Q 3 (upper right), ¡ (middle left), g (middle<latexit sha1_base64="Bghc8MhpeIuKASRzwidWLJEZZS4=">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</latexit>

T<latexit sha1_base64="3kQSQqxLK2aM0RW56VF9jidLaTc=">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</latexit>

right), W (lower left), and B (lower right).

<latexit sha1_base64="wEi4dX14i4/y1MlbosiyTmmmTEw=">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</latexit>

f0

3[KM, Yamada 2208.11708]

confirm
this,defineconfirm this, we define an asymptotic value of total distributions
for eachs injwesuch
as an asymptotic value of total distributions for each s inj such as
Ø
Ø
X
Ø
X
Ø
(asym)(asym)
ØØ
f tot,s
(p)
¥
∫
f
(p)
,
f tot,s (p) ¥∫s f s (p)Ø
,
(4.5)
s
s
Ø
inj
(s )

s
2
• Baryogenesis: e.g., via reactivating sphaleron @ T < 10 GeV µ p<p∂
inj

fl

fl

fl

- Requires inhomogeneous studies…

(s inj )sµ

p<p asym∂°7/2
p(asym)¥ °̃ f˜tot,sinj.
p0[Shaposhnikov+ 0310100;
Jaeckel, Yin 2206.06376](4.6)(asym)¥ °̃ f˜tot,sinj

inj
asym

p °7/2.
p0