New IN THE NAME OF GOD PARTICLE - WordPress.com · 2017. 1. 15. · Zhong-Zhi Xianyu Center for...
Transcript of New IN THE NAME OF GOD PARTICLE - WordPress.com · 2017. 1. 15. · Zhong-Zhi Xianyu Center for...
Zhong-Zhi Xianyu Center for high energy physics, THU
November 9, 2014
IN THE NAME OF GOD PARTICLE
Inflation
Quantum fluctuations Large scale structure
⇢v(a) ⇠ const.
⇣1a
da
dt
⌘2=
8⇡G
3⇢(a)
a(t) ⇠ exp(Ht)a(t)
vacuum energy
Who drives?
V (�)
(MP = 1)
✏ = 12 (V
0/V )2
⌘ = V 00/V
Scalar tilt ns = 1� 6✏+ 2⌘
Tensor-to-scalar ratio r = 16✏
Scalar amplitude
(V/✏)1/4 ' 0.027
… and more
Inflaton
0.93 0.94 0.95 0.96 0.97 0.98 0.99 1.000.0
0.1
0.2
0.3
0.4
ns
r
Planck+WP+highLPlanck+WP+highL+BICEP2
Observables
Scalar tilt ns = 1� 6✏+ 2⌘
Tensor-to-scalar ratio r = 16✏
(MP = 1)
Scalar amplitude
(V/✏)1/4 ' 0.027
… and more
v
14�v
4
V (�) =1
4�(�2 � v2)2
� ' 0.13 v ' 246GeV
Standard Model Higgs field
V (�) =1
4�(�2 � v2)2
� ' 0.13 v ' 246GeV
Standard Model Higgs field
LSM + LGR
Unknown Fundamental Theory
High energy
Low energy
Unknown Fundamental Theory
LSM + LGR + 12
p�g⇠R�2
High energy
Low energy
LJp�g
= 12R+ 1
2⇠R�2 + 12 (@µ�)
2 � V (�)
(MP = 1)
LJp�g
= 12R+ 1
2⇠R�2 + 12 (@µ�)
2 � V (�)
LEp�g
= 12R+
3(@µ⌦)2
⌦2+
(@µ�)2
2⌦2� V (�)
⌦4
gµ⌫ ! ⌦�2gµ⌫
⌦2 ⌘ 1 + ⇠�2
Weyl Transformation
(MP = 1)
V (�) = 14�(�
2 � v2)2
102GeV
V (�) = 14�(�
2 � v2)2
V (�) =�(�2 � v2)2
4(1 + ⇠�2)2
102GeV
1016GeV
0.93 0.94 0.95 0.96 0.97 0.98 0.99 1.000.0
0.1
0.2
0.3
0.4
ns
r
Planck+WP+highLPlanck+WP+highL+BICEP2
Higgs inflation
r ' 0.003ns ' 0.967
⇠ ' 104
(V/✏)1/4 ' 0.027
A Large would ruin perturbation expansion
⇠ ⇠ 104
ZZ Xianyu, J Ren, HJ He, Phys. Rev. D 88 (2013) 096013
Unitarity Bound for Nonminimal Coupling
Unitarity: probability 1 amplitude Coupled channel analysis:
(MP = 1)
|a0| 12
W+
W�
Z0
Z0
|a0| =9⇠2E2
16⇡|⇠|
p8⇡E
3
Generalization to arbitrary background field channel:
J Ren, ZZ Xianyu, HJ He, JCAP 1406 (2014) 032
Unitarity of Higgs Inflation
�
(MP = 1)
WW ! ZZ
|a0| =1 + ⇠�2
16⇡�2
✓1� 1� ⇠�2
1 + 6⇠2�2
◆E2
� ⌧ 1/⇠ |a0| '3⇠2E2
8⇡
|a0| '⇠E2
16⇡� � 1/
p⇠
E . 1/⇠
E . 1/p
⇠
103 106 109 1012 1015 10181
103
106
109
1012
1015
1018
E (GeV)
|ξ|
Unitarity Bound
Large ϕUnitarity
Bound
InflationScale
(BICEP2)
Higgs inflation
J Ren, ZZ Xianyu, HJ He, JCAP 1406 (2014) 032
Unitarity of Higgs Inflation
Perturbation theory validated
Then we do it order by order
Firstly classical …
Perturbation theory validated
Then we do it order by order
1011GeV
Firstly classical …
Then quantum corrections …
Perturbation theory validated
Then we do it order by order
1000 106 109 1012 1015 1018
-0.05
0.00
0.05
0.10
m HGeVL
l
Metastable
Unstable
Central Values
4s in Mt
4s in MH
4s in a3
Instability of Higgs potential
from A. Spencer-Smith, 1405.1975
Instability of Higgs potential
µd�
dµ=
1
16⇡2
�24�2 � 6y4t + · · ·
�
Bosonic Fermionic
yt =Mtp2v
� =M2
h
2v2
Instability of Higgs potential
120 122 124 126 128 130 132168
170
172
174
176
178
180
MH HGeVL
MtHGe
VL
from A. Spencer-Smith, 1405.1975
HJ He, ZZ Xianyu, JCAP 1410 (2014) 019
Higgs inflation with TeV New Physics
Simplest extension: 1 boson + 1 fermion @ TeV scale
V (H,S) = � µ21H
†H � 12µ
22S
2 + �1(H†H)2
+ 14�2S
4 + 12�3S
2H†H + S
LY =� y1Q̄3LH̃tR � y2Q̄3LH̃TR
� 1p2y3ST̄LTR � 1p
2y4ST̄LtR + h.c.
HJ He, ZZ Xianyu, JCAP 1410 (2014) 019
Higgs inflation with TeV New Physics
Simplest extension: 1 boson + 1 fermion @ TeV scale
103 106 109 1012 1015 1018
0
0.05
0.10
0.15
m HGeVL
l il HSML l1
l2
l3Sample A��1 =1
16⇡2
�24�2
1 � 6y4t
+ 12�3 + 12�1y
22
� 6y42 � 12y21y22
+ · · ·�
HJ He, ZZ Xianyu, JCAP 1410 (2014) 019
Higgs inflation with TeV New Physics
Inflation potential
0.93 0.94 0.95 0.96 0.97 0.98 0.99 1.000.0
0.1
0.2
0.3
0.4
ns
rPlanck+WP+highLPlanck+WP+highL+BICEP2
HJ He, ZZ Xianyu, JCAP 1410 (2014) 019
Higgs inflation with TeV New Physics
Nearly critical
Large ⇠
ZZ Xianyu, HJ He, JCAP 1410 (2014) 083
Asymptotically Safe Higgs inflation
Unknown Theory
SM+GR+…
Conformal field theory?
Criticality in Higgs+top sector?
106 108 1010 1012
0
0.02
0.04
0.06
0.01
0.03
0.05
m HGeVL
l
Gaussian fixed point
106 108 1010 1012
0
0.02
0.04
0.06
0.01
0.03
0.05
m HGeVL
l
1015 1016 1017 10181014
1015
1016
h HGeVLV1ê4 HG
eVL
mh=125GeV
mh=126GeV
mh=127GeV
ZZ Xianyu, HJ He, JCAP 1410 (2014) 083
Asymptotically Safe Higgs inflation
3M2P (H)H2 = V = 1
4�(H)�4 -minimally coupled
ZZ Xianyu, HJ He, JCAP 1410 (2014) 083
Asymptotically Safe Higgs inflation
125.0 125.5 126.0 126.5172.0
172.5
173.0
173.5
174.0
174.5
mh HGeVL
m tHGeV
L
0.93 0.94 0.95 0.96 0.97 0.98 0.99 1.000.0
0.1
0.2
0.3
0.4
ns
r
Planck+WP+highLPlanck+WP+highL+BICEP2
Planck+WP+BICEP2 Hdust amp. unfixedLCollider
CMB
• (In)equivalence of Jordan and Einstein frame at quantum level?
• Higgs inflation in more complete new physics models. Supersymmetry? Supergravity?
• Enhanced tensor-to-scalar ratio without critical point (fine-tuning)?
Outlook
Thank you