Naoyuki Haba (Shimane U, Japan)èèNaoyuki Haba (Shimane U, Japan) 2 -6/5$ TeV CND yõ
Transcript of Naoyuki Haba (Shimane U, Japan)èèNaoyuki Haba (Shimane U, Japan) 2 -6/5$ TeV CND yõ
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5/15-17/2015
Naoyuki Haba (Shimane U, Japan)
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2
TeV
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Hierarchy problem
Higgs 126GeV
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Hierarchy problem
Higgs 126GeV
Higgs M φ SM
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Hierarchy problem
*φyφ yϕL
× ×M MϕR ϕR
ϕR
Higgs 126GeV
Higgs M φ SM
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Hierarchy problem
*φyφ yϕL
× ×M MϕR ϕR
ϕR
~ −y2
16π 2M 2 logΛ
d 4 p16π 2∫
ip
⎛⎝⎜
⎞⎠⎟
4
M R2
Higgs 126GeV
Higgs M φ SM
-
Hierarchy problem
*φyφ yϕL
× ×M MϕR ϕR
ϕR
~ −y2
16π 2M 2 logΛ
d 4 p16π 2∫
ip
⎛⎝⎜
⎞⎠⎟
4
M R2
2
↓ Higgs mass M
Higgs 126GeV
Higgs M φ SM
-
Hierarchy problem
*φyφ yϕL
× ×M MϕR ϕR
ϕR
~ −y2
16π 2M 2 logΛ
d 4 p16π 2∫
ip
⎛⎝⎜
⎞⎠⎟
4
M R2
2
↓ Higgs mass M
TeV (new physics)
SUSY
y2φ *φ
ϕ! R×M 2
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Hierarchy problem
*φyφ yϕL
× ×M MϕR ϕR
ϕR
~ −y2
16π 2M 2 logΛ
d 4 p16π 2∫
ip
⎛⎝⎜
⎞⎠⎟
4
M R2
2
↓ Higgs mass M
TeV (new physics)
SUSY
y2φ *φ
ϕ! R×M 2
MR TeV TeV seesaw (new physics)
classical conformal
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Hierarchy problem
*φyφ yϕL
× ×M MϕR ϕR
ϕR
~ −y2
16π 2M 2 logΛ
d 4 p16π 2∫
ip
⎛⎝⎜
⎞⎠⎟
4
M R2
2
↓ Higgs mass M
TeV (new physics)
SUSY
y2φ *φ
ϕ! R×M 2
MR TeV TeV seesaw (new physics)
classical conformal
TeV new physics
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11
TeV
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LHC results show…
126 GeV Higgs
BSM?(beyond the standard model)
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BSM
An ongoing exciting matches (experiments) are facing a tough defense, and can’t get a goal (see physics beyond the Standard Model) yet.
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ν
An ongoing exciting matches (experiments) are facing a tough defense, and can’t get a goal (see physics beyond the Standard Model) yet.
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ν
An ongoing exciting matches (experiments) are facing a tough defense, and can’t get a goal (see physics beyond the Standard Model) yet.
tiny mass
large flavor
mixings
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ν
An ongoing exciting matches (experiments) are facing a tough defense, and can’t get a goal (see physics beyond the Standard Model) yet.
tiny mass
large flavor
mixings
126 GeV Higgs mass
DM
hierarchy problem
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17
Higgs mass 126 GeV
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Higgs (but still no BSM) discovery at LHC
mH=125.9±0.4 GeV, mtop=172.58~174.10 GeV in the SM
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Higgs (but still no BSM) discovery at LHC
mH=125.9±0.4 GeV, mtop=172.58~174.10 GeV in the SM
Higgs potential
〈H 〉•
V
H
V = λ(|H |2 −v)2
0.131@MZ
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Higgs (but still no BSM) discovery at LHC
mH=125.9±0.4 GeV, mtop=172.58~174.10 GeV in the SM
Higgs potential
〈H 〉•
V
H
V = λ(|H |2 −v)2
0.131@MZ
λ
H H
H† H†
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Higgs (but still no BSM) discovery at LHC
mH=125.9±0.4 GeV, mtop=172.58~174.10 GeV in the SM
Quantum corrections
λ
H H
H† H† W
t H
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Higgs (but still no BSM) discovery at LHC
mH=125.9±0.4 GeV, mtop=172.58~174.10 GeV in the SM
RGE of Higgs self coupling
G.Degrassi, S.Di Vita, J.Elias-Miro, J.R.Espinosa, G.F.Giudice, G.Isidori and A.Strumia, JHEP1208 (2012) 098
λ
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Higgs (but still no BSM) discovery at LHC
mH=125.9±0.4 GeV, mtop=172.58~174.10 GeV in the SM
RGE of Higgs self coupling
(4π )2 dλdt
= 24λ 2 +12λyt2 − 6yt
4 − 3λ(g '2+ 3g2 )+ 38[2g4 + (g '2+ g2 )2 ]
top mass
Higgs massλ
1018 E (GeV)
β
0.131@MZ
-
Higgs (but still no BSM) discovery at LHC
mH=125.9±0.4 GeV, mtop=172.58~174.10 GeV in the SM
RGE of Higgs self coupling
〈H 〉•
V
H
weak scale
(4π )2 dλdt
= 24λ 2 +12λyt2 − 6yt
4 − 3λ(g '2+ 3g2 )+ 38[2g4 + (g '2+ g2 )2 ]
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Higgs (but still no BSM) discovery at LHC
mH=125.9±0.4 GeV, mtop=172.58~174.10 GeV in the SM
RGE of Higgs self coupling
〈H 〉•
V
H
V
H
weak scale MP
(4π )2 dλdt
= 24λ 2 +12λyt2 − 6yt
4 − 3λ(g '2+ 3g2 )+ 38[2g4 + (g '2+ g2 )2 ]
Energy
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RGE of Higgs self coupling
(4π )2 dλdt
= 12λ 2 +12λyt2 −12yt
4 − 3λ(g '2+ 3g2 )+ 38[2g4 + (g '2+ g2 )2 ]
〈H 〉•
V
H
V
H
weak scale MP
Higgs (but still no BSM) discovery at LHC
mH=125.9±0.4 GeV, mtop=172.58~174.10 GeV in the SM
means SM -> Mp????
SM Mp
Energy
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(Amaldi, PLB260(1991)447)
Before this paper, SUSY is not so familiar than TC etc.
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Higgs (but still no BSM) discovery at LHC
mH=125.9±0.4 GeV, mtop=172.58~174.10 GeV in the SM
RGE of Higgs self coupling
top mass
Higgs massλ
1018 E (GeV)
β
(4π )2 dλdt
= 24λ 2 +12λyt2 − 6yt
4 − 3λ(g '2+ 3g2 )+ 38[2g4 + (g '2+ g2 )2 ]
-
Higgs (but still no BSM) discovery at LHC
mH=125.9±0.4 GeV, mtop=172.58~174.10 GeV in the SM
RGE of Higgs self coupling
top mass
Higgs massλ
1018 E (GeV)
β
(4π )2 dλdt
= 24λ 2 +12λyt2 − 6yt
4 − 3λ(g '2+ 3g2 )+ 38[2g4 + (g '2+ g2 )2 ]
-
Higgs (but still no BSM) discovery at LHC
mH=125.9±0.4 GeV, mtop=172.58~174.10 GeV in the SM
RGE of Higgs self coupling
top mass
Higgs mass
< 0 > 0
λ
1017 1018 E (GeV)
(4π )2 dλdt
= 24λ 2 +12λyt2 − 6yt
4 − 3λ(g '2+ 3g2 )+ 38[2g4 + (g '2+ g2 )2 ]
1010
-
Higgs (but still no BSM) discovery at LHC
mH=125.9±0.4 GeV, mtop=172.58~174.10 GeV in the SM
RGE of Higgs self coupling
top mass
Higgs mass
< 0 > 0
λ
1017 1018 E (GeV)
(4π )2 dλdt
= 24λ 2 +12λyt2 − 6yt
4 − 3λ(g '2+ 3g2 )+ 38[2g4 + (g '2+ g2 )2 ]
1010
-
Higgs (but still no BSM) discovery at LHC
mH=125.9±0.4 GeV, mtop=172.58~174.10 GeV in the SM
RGE of Higgs self coupling
top mass
Higgs mass
< 0 > 0
λ
1017 1018 E (GeV)
171.081
(4π )2 dλdt
= 24λ 2 +12λyt2 − 6yt
4 − 3λ(g '2+ 3g2 )+ 38[2g4 + (g '2+ g2 )2 ]
-
Higgs (but still no BSM) discovery at LHC
mH=125.9±0.4 GeV, mtop=172.58~174.10 GeV in the SM
RGE of Higgs self coupling
top mass
Higgs mass
< 0 > 0
λ
1017 1018 E (GeV)
171.079
(4π )2 dλdt
= 24λ 2 +12λyt2 − 6yt
4 − 3λ(g '2+ 3g2 )+ 38[2g4 + (g '2+ g2 )2 ]
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λ(µ Mp) 0
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λ(µ Mp) 0
SM Mp
1010 GeV
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ex flat land scenario Iso et al
Higgs Mp
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ex flat land scenario Iso et al
Higgs Mp
U(1)B-L
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ex flat land scenario Iso et al
Higgs Mp
U(1)B-L
U(1)B-L νR Majorana
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ex flat land scenario Iso et al
Higgs Mp
U(1)B-L
U(1)B-L νR Majorana
→ U(1)B-L U(1)B-L Higgs Φ
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ex flat land scenario Iso et al
Higgs Mp
U(1)B-L
U(1)B-L νR Majorana
→ U(1)B-L U(1)B-L Higgs Φ
V = λ |H |4 +k |φ |2 |H |2 +λS |φ |4
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mH=125.9±0.4 GeV, mtop=172.58~174.10 GeV in the SM (4π )2 dλ
dt= 24λ 2 +12λyt
2 − 6yt4 − 3λ(g '2+ 3g2 )+ 3
8[2g4 + (g '2+ g2 )2 ]
1010
-
mH=125.9±0.4 GeV, mtop=172.58~174.10 GeV in the SM (4π )2 dλ
dt= 24λ 2 +12λyt
2 − 6yt4 − 3λ(g '2+ 3g2 )+ 3
8[2g4 + (g '2+ g2 )2 ]
(4π )2 dyt
dt= yt
92yt2 − 1720g12 − 94g22 − 8g3
2 −!g!2⎛
⎝⎜⎞⎠⎟
new gauge Yt
1010
-
mH=125.9±0.4 GeV, mtop=172.58~174.10 GeV in the SM (4π )2 dλ
dt= 24λ 2 +12λyt
2 − 6yt4 − 3λ(g '2+ 3g2 )+ 3
8[2g4 + (g '2+ g2 )2 ]
(4π )2 dyt
dt= yt
92yt2 − 1720g12 − 94g22 − 8g3
2 −!g!2⎛
⎝⎜⎞⎠⎟
new gauge Yt
λ
1010
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ex flat land scenario
V = λ |H |4 +k |φ |2 |H |2 +λS |φ |4
SM + U(1)B-L
λ
Iso et al
TeV
Mp
SM
1010
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ex flat land scenario
V = λ |H |4 +k |φ |2 |H |2 +λS |φ |4
SM + U(1)B-L
λ
Iso et al
TeV
Mp
SM
1010
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ex flat land scenario
V = λ |H |4 +k |φ |2 |H |2 +λS |φ |4
SM + U(1)B-L
λ
Iso et al
TeV
Mp1010
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ex flat land scenario
V = λ |H |4 +k |φ |2 |H |2 +λS |φ |4
SM + U(1)B-L
λ
Iso et al
TeV
Mp
-
ex flat land scenario
V = λ |H |4 +k |φ |2 |H |2 +λS |φ |4
SM + U(1)B-L
k
λ
Iso et al
TeV
MpλS
-
ex flat land scenario
V = λ |H |4 +k |φ |2 |H |2 +λS |φ |4
SM + U(1)B-L
k
λ
Iso et al
TeV
MpλS
Φ TeV
-
ex flat land scenario
V = λ |H |4 +k |φ |2 |H |2 +λS |φ |4
SM + U(1)B-L
k < 0
λ
Iso et al
TeV
MpλS
Φ TeV
-
ex flat land scenario
V = λ |H |4 +k |φ |2 |H |2 +λS |φ |4
SM + U(1)B-L
k < 0
λ
Iso et al
TeV
MpλS
Φ TeV
(origin of the wine-bottle (EWB)
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ex flat land scenario
V = λ |H |4 +k |φ |2 |H |2 +λS |φ |4
SM + U(1)B-L
k
gB-L (~O(1)) Φ TeV
νR Majorana mass TeV
-
ex flat land scenario
V = λ |H |4 +k |φ |2 |H |2 +λS |φ |4
SM + U(1)B-L
k TeV scale seesaw, (resonant) leptogenesis (anyhow, all phenomenology must be at TeV)
gB-L (~O(1)) Φ TeV
νR Majorana mass TeV
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ex2 GUT @ Mp model
GUT Mp
NH, Ishida, Takahashi, YamaguchiarXiv:1412.8230
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ex2 GUT @ Mp model
GUT Mp
NH, Ishida, Takahashi, YamaguchiarXiv:1412.8230
GUT Mp
-
ex2 GUT @ Mp model
GUT Mp
NH, Ishida, Takahashi, YamaguchiarXiv:1412.8230
GUT Mp
vector-like mattes SM GUT Mp
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mH=125.9±0.4 GeV, mtop=172.58~174.10 GeV in the SM (4π )2 dλ
dt= 24λ 2 +12λyt
2 − 6yt4 − 3λ(g '2+ 3g2 )+ 3
8[2g4 + (g '2+ g2 )2 ]
GUC gauge
-
mH=125.9±0.4 GeV, mtop=172.58~174.10 GeV in the SM (4π )2 dλ
dt= 24λ 2 +12λyt
2 − 6yt4 − 3λ(g '2+ 3g2 )+ 3
8[2g4 + (g '2+ g2 )2 ]
(4π )2 dytdt
= yt92yt2 − 1720g12 − 94g22 − 8g3
2⎛⎝⎜
⎞⎠⎟
Gauge Yt
GUC gauge
-
mH=125.9±0.4 GeV, mtop=172.58~174.10 GeV in the SM (4π )2 dλ
dt= 24λ 2 +12λyt
2 − 6yt4 − 3λ(g '2+ 3g2 )+ 3
8[2g4 + (g '2+ g2 )2 ]
(4π )2 dytdt
= yt92yt2 − 1720g12 − 94g22 − 8g3
2⎛⎝⎜
⎞⎠⎟
Gauge Yt
λ
GUC gauge
-
ex2 GUT @ Mp model
gauge-> λ
NH, Ishida, Takahashi, YamaguchiarXiv:1412.8230
GUT Mp
GUT Mp
vector-like mattes SM GUT Mp
vacuum becomes stable
-
ex2 GUT @ Mp model
gauge-> Yukawa-> λ
NH, Ishida, Takahashi, YamaguchiarXiv:1412.8230
GUT Mp
GUT Mp
vector-like mattes SM GUT Mp
vacuum becomes stable
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LHC results show…
126 GeV Higgs
BSM?
SM Mp (no intermediate scale?)
TeV scale seesaw (inverse seesaw? generation structure? same sign di-lepton event? 0νββ? other observations?)
leptogenesis/bariyogenesis? (resonant leptogenesis? quantum effects? New
mechanism )
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λ(µ Mp) 0
µ 1010GeV BSM
1010 GeV Higgs
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Higgs= gauge (Gauge-Higgs Unification) AM = Aµ + A5 (scalar @ 4D)
massless
mass
loop factor (1/16π2 tree ← finite
λ
1/R~1010 GeV!
G.Degrassi, S.Di Vita, J.Elias-Miro, J.R.Espinosa, G.F.Giudice, G.Isidori and A.Strumia, JHEP1208 (2012) 098
N. Okada, Q. Shafi, et al
SM with top mass (173 GeV)
For this meta-stability, GHU says
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65
TeV
-
H HQuark charged Lepton y (g)
H
y y
origin of tiny Dirac mass
Standard Model H =(0, 250GeV)mass hierarchy = Yukawa hierarchy (yt 1, y 10-12)
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another possibility: How about tiny H only for ν?
H HQuark charged Lepton y (g)
H
y y
origin of tiny Dirac mass
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another possibility: How about tiny H only for ν?
H HQuark charged Lepton y (g)
H
y y
Hνν
yν
Hν
Hν
yν yν
origin of tiny Dirac massneutrinophilic Higgs
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neutrinophilic Higgsorigin of tiny Dirac mass
another possibility: How about tiny H only for ν?
H HQuark charged Lepton y (g)
H
y y
Hνν
yν
Hν
Hν
yν yν
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LYukawa = yuQHU + ydQHD + yeLHE + yνLHννR
origin of tiny Dirac mass
L = (νL ,eL )
neutrinophilic Higgs
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LYukawa = yuQHU + ydQHD + yeLHE + yνLHννR
origin of tiny Dirac mass
L = (νL ,eL )fields Z2-charge
SM fields (SM Higgs: H)
R
Higgs doublet: H
neutrinophilic Higgs
-
LYukawa = yuQHU + ydQHD + yeLHE + yνLHννR
origin of tiny Dirac mass
L = (νL ,eL )fields Z2-charge
SM fields (SM Higgs: H)
R
Higgs doublet: H
〈Hν 〉〈H 〉
H 0
A0
H ±
h0
Hν
H
• •• •
⎛⎝⎜
⎞⎠⎟
• •• •
⎛⎝⎜
⎞⎠⎟
neutrinophilic Higgs
-
LYukawa = yuQHU + ydQHD + yeLHE + yνLHννR
origin of tiny Dirac mass
L = (νL ,eL )fields Z2-charge
SM fields (SM Higgs: H)
R
Higgs doublet: H
〈Hν 〉〈H 〉
H 0
A0
H ±
h0
Hν
H
• •• •
⎛⎝⎜
⎞⎠⎟
• •• •
⎛⎝⎜
⎞⎠⎟
neutrinophilic Higgs
-
LYukawa = yuQHU + ydQHD + yeLHE + yνLHννR
origin of tiny Dirac mass
L = (νL ,eL )fields Z2-charge
SM fields (SM Higgs: H)
R
Higgs doublet: H
〈Hν 〉〈H 〉
H 0
A0
H ±
h0
Hν
H
• •• •
⎛⎝⎜
⎞⎠⎟
• •• •
⎛⎝⎜
⎞⎠⎟
neutrinophilic Higgs
-
LYukawa = yuQHU + ydQHD + yeLHE + yνLHννR
origin of tiny Dirac mass
L = (νL ,eL )fields Z2-charge
SM fields (SM Higgs: H)
R
Higgs doublet: H
〈Hν 〉〈H 〉
H 0
A0
H ±
h0
Hν
H
• •• •
⎛⎝⎜
⎞⎠⎟
• •• •
⎛⎝⎜
⎞⎠⎟
neutrinophilic Higgs
-
yq ×〈Φν 〉〈Φ〉
Γ(H ± → l±νL ) GFmH ±mν
2 〈Φ〉2
〈Φν 〉2
Γ(H ± → qq) m
H ±yq2 〈Φν 〉
2
〈Φ〉2
-
ε ≡Γ(νR1 →Φ + l j ) − Γ(νR1 →Φ
* + l j )Γ(νR1 →Φ + l j ) + Γ(νR1 →Φ
* + l j )
! −38π
1(yνyν
† )11Im
i=2,3∑ (yνyν† )1i2 M1Mi
, (Mi ≫ M1)
!38π
M1mν 3〈Φ〉2
sinδ ! 10−6 M11010GeV
⎛⎝⎜
⎞⎠⎟
mν 30.05eV
⎛⎝⎜
⎞⎠⎟sinδ
nbs! Cκ ε
g*
-
ε − 38π
1(yνyν
† )11Im
i=2,3∑ (yνyν† )1i2 M1Mi
−38π
M1mν 3〈Φν 〉
2 sinδ
−316π
10−6 0.1GeV〈Φν 〉
⎛⎝⎜
⎞⎠⎟
2M1
100GeV⎛⎝⎜
⎞⎠⎟
mν0.05eV
⎛⎝⎜
⎞⎠⎟sinδ
nbs Cκ ε
g*
-
ε − 38π
1(yνyν
† )11Im
i=2,3∑ (yνyν† )1i2 M1Mi
−38π
M1mν 3〈Φν 〉
2 sinδ
−316π
10−6 0.1GeV〈Φν 〉
⎛⎝⎜
⎞⎠⎟
2M1
100GeV⎛⎝⎜
⎞⎠⎟
mν0.05eV
⎛⎝⎜
⎞⎠⎟sinδ
nbs Cκ ε
g*
-
ε − 38π
1(yνyν
† )11Im
i=2,3∑ (yνyν† )1i2 M1Mi
−38π
M1mν 3〈Φν 〉
2 sinδ
−316π
10−6 0.1GeV〈Φν 〉
⎛⎝⎜
⎞⎠⎟
2M1
100GeV⎛⎝⎜
⎞⎠⎟
mν0.05eV
⎛⎝⎜
⎞⎠⎟sinδ
nbs Cκ ε
g*
-
ε ≡ ε(νR → lH ) + ε(νR → lH) + ε(νR→ lH) + ε(νR→ lH )
−316π
10−5 0.1GeV〈Φν 〉
⎛⎝⎜
⎞⎠⎟
2M1
103GeV⎛⎝⎜
⎞⎠⎟
mν0.05eV
⎛⎝⎜
⎞⎠⎟sinδ
nbs Cκ ε
g*
-
flavor symmetry: !!tri-bi-maximal mixing [sin2 12=1/3, sin2 23=1/2] + deviation, !
seems good!-> find flavor symmetry (S3, S4, A4, ) !-> phenomenology ! ex) mass sum rule !
S. F. King, A. Merle, S. Morisi, Y. Shimizu and M. Tanimoto, New J. Phys.16 (2014) 045018
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summary of research plan!
TeV scale seesaw (inverse seesaw? generation structure? same sign di-lepton event? 0νββ? other observations?)
leptogenesis/bariyogenesis? (resonant leptogenesis? quantum effects? New mechanism )
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For a goal !(discover BSM), strong cooperation between ! experiment & theory is needed. !
experiment
theory
-
λ(µ Mp) 0
EW Mp
1010 GeV
-
mH=125.9±0.4 GeV, mtop=172.58~174.10 GeV in the SM (4π )2 dλ
dt= 24λ 2 +12λyt
2 − 6yt4 − 3λ(g '2+ 3g2 )+ 3
8[2g4 + (g '2+ g2 )2 ]
stable stable
top scalar vector gravity gauge running
!
-
SM center
Mp
Higgs mass & top mass dependence for λ β
Higgs mass & top mass are uniquely determined by MPCP @ Mp
(128.6,!172.6)
(126,!171.2)1017 GeV < Mp