Naoyuki Haba (Shimane U, Japan)èèNaoyuki Haba (Shimane U, Japan) 2 -6/5$ TeV CND yõ

5/15-17/2015

Naoyuki Haba (Shimane U, Japan)

2

TeV

Hierarchy problem

Higgs 126GeV

Hierarchy problem

Higgs 126GeV

Higgs M φ SM

Hierarchy problem

*φyφ yϕL

× ×M MϕR ϕR

ϕR

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

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

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

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

11

TeV

LHC results show…

126 GeV Higgs

BSM?(beyond the standard model)

BSM

An ongoing exciting matches (experiments) are facing a tough defense, and can’t get a goal (see physics beyond the Standard Model) yet.

ν


ν


tiny mass

large flavor

mixings

ν


tiny mass

large flavor

mixings

126 GeV Higgs mass

DM

hierarchy problem

17

Higgs mass 126 GeV

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



Higgs potential

〈H 〉•

V

H

V = λ(|H |2 −v)2

0.131@MZ

λ

H H

H† H†



Quantum corrections

λ

H H

H† H† W

t H



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




(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




〈H 〉•

V

H

weak scale

(4π )2 dλdt

= 24λ 2 +12λyt2 − 6yt

4 − 3λ(g '2+ 3g2 )+ 38[2g4 + (g '2+ g2 )2 ]




〈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


(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



means SM -> Mp????

SM Mp

Energy

(Amaldi, PLB260(1991)447)

Before this paper, SUSY is not so familiar than TC etc.




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 ]




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




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 ]




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 ]

λ(µ Mp) 0

λ(µ Mp) 0

SM Mp

1010 GeV

ex flat land scenario Iso et al

Higgs Mp


Higgs Mp

U(1)B-L


Higgs Mp

U(1)B-L

U(1)B-L νR Majorana


Higgs Mp

U(1)B-L


→ U(1)B-L U(1)B-L Higgs Φ


Higgs Mp

U(1)B-L


→ U(1)B-L U(1)B-L Higgs Φ

V = λ |H |4 +k |φ |2 |H |2 +λS |φ |4

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


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


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

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


V = λ |H |4 +k |φ |2 |H |2 +λS |φ |4

SM + U(1)B-L

λ

Iso et al

TeV

Mp1010


V = λ |H |4 +k |φ |2 |H |2 +λS |φ |4

SM + U(1)B-L

λ

Iso et al

TeV

Mp


V = λ |H |4 +k |φ |2 |H |2 +λS |φ |4

SM + U(1)B-L

k

λ

Iso et al

TeV

MpλS


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


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


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)


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


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

ex2 GUT @ Mp model

GUT Mp

NH, Ishida, Takahashi, YamaguchiarXiv:1412.8230

ex2 GUT @ Mp model

GUT Mp


GUT Mp

ex2 GUT @ Mp model

GUT Mp


GUT Mp

vector-like mattes SM GUT Mp


dt= 24λ 2 +12λyt

2 − 6yt4 − 3λ(g '2+ 3g2 )+ 3

8[2g4 + (g '2+ g2 )2 ]

GUC gauge


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


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


GUT Mp

GUT Mp


vacuum becomes stable

ex2 GUT @ Mp model

gauge-> Yukawa-> λ


GUT Mp

GUT Mp


vacuum becomes stable

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 )

λ(µ Mp) 0

µ 1010GeV BSM

1010 GeV Higgs

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

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)

another possibility: How about tiny H only for ν?


H

y y




H

y y

Hνν

yν

Hν

Hν

yν yν

origin of tiny Dirac massneutrinophilic Higgs

neutrinophilic Higgsorigin of tiny Dirac mass



H

y y

Hνν

yν

Hν

Hν

yν yν

LYukawa = yuQHU + ydQHD + yeLHE + yνLHννR


L = (νL ,eL )

neutrinophilic Higgs



L = (νL ,eL )fields Z2-charge

SM fields (SM Higgs: H)

R

Higgs doublet: H




L = (νL ,eL )fields Z2-charge

SM fields (SM Higgs: H)

R

Higgs doublet: H

〈Hν 〉〈H 〉

H 0

A0

H ±

h0

Hν

H

• •• •

⎛⎝⎜

⎞⎠⎟

• •• •

⎛⎝⎜

⎞⎠⎟


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 ≡ 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

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 )

For a goal !(discover BSM), strong cooperation between ! experiment & theory is needed. !

experiment

theory

λ(µ Mp) 0

EW Mp

1010 GeV


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

Documents

Naoyuki Haba (Shimane U, Japan)èèNaoyuki Haba (Shimane U, Japan) 2 -6/5$ TeV CND yõ