susy higgs with non-perturbative effects
DESCRIPTION
SUSY Higgs with Non-perturbative effects. Yukihiro Mimura (National Taiwan University) . Based on PLB718 (2013) 1441 . Collaboration with N. Haba , K. Kaneta , and R. Takahashi Work in progress. Seminar at Academia Sinica ( 2013.5.10). Menu. - PowerPoint PPT PresentationTRANSCRIPT
![Page 1: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/1.jpg)
SUSY Higgs with Non-perturbative effects
Yukihiro Mimura (National Taiwan University)
Based on PLB718 (2013) 1441. Collaboration with N. Haba, K. Kaneta, and R. Takahashi Work in progress.
Seminar at Academia Sinica (2013.5.10)
![Page 2: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/2.jpg)
2
Menu Higgs discovery and Higgs puzzle
SUSY Higgs
Non-perturbative Higgs model in SUSY QCD
Feature of the model (Higgs to diphoton decay)
Summary
![Page 3: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/3.jpg)
3
We’ve found you,
Higgs!
Discovery of the Higgs(-like) boson in July, 2012
![Page 4: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/4.jpg)
4
Higgs? or Higgs-like?
We need to look at it carefully.
SM Higgs?
![Page 5: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/5.jpg)
5
Higgs Puzzle
(20.7 fb-1, new)
![Page 6: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/6.jpg)
6
![Page 7: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/7.jpg)
7
Unknown “Higgs Forces”
1. Higgs self-coupling
How does the Higgs field acquire a VEV ?
2. Couplings to fermion (Yukawa coupling)
How does the Higgs VEV give masses to fermions?
SM?
SM?
![Page 8: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/8.jpg)
8Ex.
![Page 9: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/9.jpg)
9
The lightest Higgs mass in MSSM
Maximized at
Higgs mass is predictive in MSSM.
![Page 10: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/10.jpg)
10
The lightest Higgs mass in MSSM
Maximized at
(Hall-Pinner-Ruderman, 1112.2703)
![Page 11: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/11.jpg)
11
(tree level)
How about minimization condition?
![Page 12: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/12.jpg)
12
RGE solution:(tree level)
Cancellation sensitivity
![Page 13: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/13.jpg)
13
However, in Radiative EWSB scenario, becomes zero at a scale.
(Note : RGEs are homogeneous equation, and thus, the solution is overall-scale invariant.)
![Page 14: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/14.jpg)
14
Sensitive to the stop mass parameters
RGEs
Hypercharge weightedTrace of scalar masses
![Page 15: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/15.jpg)
15
![Page 16: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/16.jpg)
16
Good news & Bad news for 125 GeV Higgs
Good news :
Consistent with no sign in direct search
Bad news: Stop mass and/or mixing have to be large, and radiative EWSB breaking is sensitive to them.
![Page 17: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/17.jpg)
17
Good news & Bad news for 125 GeV Higgs
Good news :
Consistent with no sign in direct search
Bad news: Stop mass and/or mixing have to be large, and radiative EWSB breaking is sensitive to them.
No EWSB
![Page 18: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/18.jpg)
18
One may extend the SUSY SM.
1. NMSSM
2. Add vector-like matter which couples to the Higgs field.
Coleman-Weinberg potential can enhance the Higgs mass (via VEV-dependent masses).
![Page 19: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/19.jpg)
19
3. BMSSM (Beyond MSSM)
4. Non-perturbative Higgs model
![Page 20: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/20.jpg)
20
Non-perturbative Higgs model
Higgs fields are moduli of SUSY QCD.
(Haba-Okada)
Hypercolor
![Page 21: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/21.jpg)
21
SUSY QCD (Seiberg et al, 90’s)
![Page 22: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/22.jpg)
22
Effective Lagrangian
![Page 23: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/23.jpg)
23
SUSY QCD version
Integrating S out
![Page 24: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/24.jpg)
24
Dynamical Higgsino mass term(VEV-dependent)
![Page 25: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/25.jpg)
25
(Carena-Low-Wagner)
(W loop) (Top loop)
For chiral fermions:
Higgs to diphoton decay width
![Page 26: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/26.jpg)
26
Constructive contribution to W loop is needed.
VEV-dependent contribution to the new particle mass must reduce its mass.
A sizable contribution is needed to enhancethe diphoton decay rate largely.
Unstable solution
The coupling may blow upjust above the weak scale.
![Page 27: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/27.jpg)
27
Sketch of the issue
![Page 28: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/28.jpg)
28
Sketch of the issue
For a < 0 (non-perturbatively) and M=0,it always provides a constructive contribution to W loop.
![Page 29: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/29.jpg)
29
Dynamical Higgsino mass term(VEV-dependent)
![Page 30: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/30.jpg)
30
Suppose that Higgsino loop is the only additional source.
Ratio of the decay amplitude from top quark loop and Higgsino loop
The decay amplitude is about 40% up!
Decay width can be twice as the one in SM.
![Page 31: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/31.jpg)
31
Charged Higgs boson loop contribution :
Destructive contribution
There is VEV-independent mass (decoupling).
It does not destabilize the Higgs potential.
![Page 32: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/32.jpg)
32
NP potential SUSY breaking
![Page 33: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/33.jpg)
33
Merit:
In MSSM,
Demerit:
![Page 34: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/34.jpg)
34
Work in progress :
Pair production of Higgsino is enhanced.
Pair production of the Higgs boson is enhanced.
![Page 35: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/35.jpg)
35
![Page 36: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/36.jpg)
36
![Page 37: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/37.jpg)
37
Summary
There are missing pieces for the “Higgs forces”.
SUSY Higgs is discussed.
Non-perturbative Higgs model in SUSY QCD is proposed.
It can enhance the Higgs to diphoton decay width.
We look forward to more data to specify the “Higgs forces”.
![Page 38: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/38.jpg)
38
Possible extension of the modelThird generation can be also moduli of SUSY QCD.
Left-handed matter
Right-handed matter
![Page 39: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/39.jpg)
39
![Page 40: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/40.jpg)
40
minimal Supergravity (mSUGRA)/Constrained MSSM (CMSSM)
1. Unified Gaugino masses at GUT scale
2. Universal scalar mass (at Planck/GUT scale)
3. Scalar trilinear coupling (A-term)
4. Ratio of up- and down-type Higgs vev
5. Higgsino mass
( is fixed by the minimization of Higgs potential.)
![Page 41: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/41.jpg)
41
tree
averaged stop mass
Little hierarchy
by definition
(Giudice-Rattazzi, Dutta-YM)
![Page 42: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/42.jpg)
42
Distribution of Little hierarchy
Probability is not 1% yet.
![Page 43: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/43.jpg)
43(Carena-Gori-Shah-Wagner, 1112.3336)
![Page 44: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/44.jpg)
44
![Page 45: SUSY Higgs with Non-perturbative effects](https://reader035.vdocuments.net/reader035/viewer/2022062501/568166ce550346895ddadcc3/html5/thumbnails/45.jpg)
45
Good news & Bad news for 125 GeV Higgs
Good news :
Consistent with no sign in direct search
Bad news: Stop mass and/or mixing have to be large, and radiative EWSB breaking is sensitive to them.
No EWSB
We are OK!
You look uncomfortable.