relaxation of the electro-weak...
TRANSCRIPT
![Page 1: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/1.jpg)
Relaxation of
the Electro-Weak Fine-Tuning
Bumseok KYAE
(Pusan Nat’l Univ.)
1. arXiv: 1502.02311
2. arXiv: 1507.07611 collaborated with Doyoun Kim (CTPU)
May 3 (2016) @ SNU,
IBS-SNU Joint Workshop
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• The naturalness problem of EW scale and Higgs boson mass
has been the most important issue for last four decades.
• The MSSM has been the most promising BSM candidate.
• No obvious evidence of BSM has been observed yet at LHC.
→ Theoretical puzzles raised in the SM still remain UNsolved.
• A barometer of the solution to the naturalness problem is
the stop mass .
The stop mass bound has been already > 700 GeV.
(The gluino mass bound has exceeded > 1.7 TeV.)
→ They start threatening the traditional status of SUSY as a
solution to the naturalness problem of the EW phase transition.
![Page 3: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/3.jpg)
• ATLAS and CMS have discovered the SM(-like) Higgs
with 125-126 GeV mass, which is too heavy as a SUSY Higgs.
• According to the recent analysis based on 3-loop calculation,
3-4 TeV stop mass is necessary for the 125 GeV Higgs mass
(without a large stop mixing).
[Feng, etal. PRL (2013)]
![Page 4: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/4.jpg)
• ATLAS and CMS have discovered the SM(-like) Higgs
with 125-126 GeV mass, which is too heavy as a SUSY Higgs.
• According to the recent analysis based on 3-loop calculation,
3-4 TeV stop mass is necessary for the 125 GeV Higgs mass
(without a large stop mixing).
[Feng, etal. PRL (2013)]
A fine-tuning of 10-3 – 10-4
seems to be unavoidable !! ??
![Page 5: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/5.jpg)
Can mhu2 be insensitive to the stop mass ??
We need such a model for naturalness of the EW scale.
![Page 6: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/6.jpg)
Can mhu2 be insensitive to the stop mass ??
We need such a model for naturalness of the EW scale.
We will propose a scenario, in which
the Gluino Mass is more closely
associated with the Naturalness.
![Page 7: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/7.jpg)
Focus Point scenario
Suppose that
1. Universal soft mass : mq32 = mu3
2 = mhu2 = … ≡ m0
2
at the GUT scale
2. Small enough gaugino mass : m1/22 << m0
2, and A0 << m0
Then, the Higgs mass parameter mhu2 becomes
insensitive to m02 or stop mass squared.
[Feng, Matchev, Moroi (2000)]
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With the Minimal Gravity Mediation , i.e. with the Universal soft masses
Cs happens to be
small.
Focus Point scenario
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Focus Point scenario
[ Feng, Matchev, Moroi, PRL, PRD (2000) ]
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Focus Point scenario
Then, the Higgs mass parameter mhu2 becomes
insensitive to m02 or stop mass squared.
![Page 11: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/11.jpg)
Challenges from experiments
1. The gluino mass bound has already exceeded
M3 > 1.7 TeV. m1/2 should NOT be small any longer.
→ mhu2 < − (1 TeV)2
2. The stop mass bound has exceeded 700 GeV.
If stop masses > 1 TeV, then ???
![Page 12: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/12.jpg)
In the Minimal Gravity Mediation,
m1/2 can NOT
be small.
Since M3 > 1.7 TeV ,
Challenges from experiments
![Page 13: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/13.jpg)
In the Minimal Gravity Mediation,
m1/2 can NOT
be small.
Since M3 > 1.4 TeV ,
μ should be
LARGE → Fine-tuning
if stop mass < 1 TeV
Challenges from experiments
![Page 14: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/14.jpg)
Challenges from theory
1. 3-4 TeV stop masses are necessary
for 125 GeV Higgs mass without At at 3-loop level.
The needed 3-4 TeV stop decoupling scale
is too high from the FP scale.
2. How to get the almost vanishing A-term?
[Feng, etal., PRL (2013)]
![Page 15: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/15.jpg)
In the Minimal Gravity Mediation,
Cs becomes
sizable.
For stop mass = 3-4 TeV ,
Challenges from theory
![Page 16: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/16.jpg)
In the Minimal Gravity Mediation,
Cs becomes
sizable.
For stop mass = 3-4 TeV ,
The FP behavior
becomes seriously
spoiled for stop mass =3--4 TeV
Challenges from theory
![Page 17: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/17.jpg)
In the Minimal Gravity Mediation,
Cs becomes
sizable.
For stop mass = 3-4 TeV ,
Cgm1/22
should also be large
for EW sym.
breaking .
Challenges from theory
![Page 18: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/18.jpg)
stop mass scale
stop mass scale
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∼ O(102-3)
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In the Minimal Gravity Mediation,
Cs needs to be made
SMAll enough
before stop decoupled.
For predictively small EW scale
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In the Minimal Gravity Mediation,
Cg m1/22 needs to
be SMAll enough
for a small μ.
For predictively small EW scale
![Page 22: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/22.jpg)
mhu2 further decreases by ∼(550 GeV)2
from Q = 3-4 TeV to Q = MZ .
Below the stop mass scale
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For predictively small EW scale
FP needs to appear around stop mass scale (3-4 TeV),
and |mhu2 |< (1 TeV)2 there.
X
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How can we shift the Focus Point of mhu2
upto the desired stop mass scale (3-4 TeV) ??
![Page 25: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/25.jpg)
How can we shift the Focus Point of mhu2
upto the desired stop mass scale (3-4 TeV) ??
minimal Gravity mediation
+
minimal Gauge mediation
![Page 26: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/26.jpg)
How can we shift the Focus Point of mhu2
upto the desired stop mass scale (3-4 TeV) ??
minimal Gravity mediation
+
minimal Gauge mediation
“Minimal
Mixed
Medation ”
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Minimal Gravity Mediation
With the minimal Kahler pot. K, and superpot. W,
where the Hidden and Observ. Sectors are separated,
![Page 28: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/28.jpg)
Minimal Gravity Mediation
With the minimal Kahler pot. K, and superpot. W,
where the Hidden and Observ. Sectors are separated,
![Page 29: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/29.jpg)
Minimal Gravity Mediation
With the minimal Kahler pot. K, and superpot. W,
where the Hidden and Observ. Sectors are separated,
<Fzi > ∼ O(mMP)
![Page 30: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/30.jpg)
Minimal Gravity Mediation
With the minimal Kahler pot. K, and superpot. W,
where the Hidden and Observ. Sectors are separated,
![Page 31: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/31.jpg)
Minimal Gravity Mediation
With the minimal Kahler pot. K, and superpot. W,
where the Hidden and Observ. Sectors are separated,
For the vanishing Cosmological Constant,
![Page 32: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/32.jpg)
Minimal Gravity Mediation
With the minimal Kahler pot. K, and superpot. W,
where the Hidden and Observ. Sectors are separated,
![Page 33: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/33.jpg)
Minimal Gravity Mediation
With the minimal Kahler pot. K, and superpot. W,
where the Hidden and Observ. Sectors are separated,
Universal Soft Masses: A-terms ∝ m0
![Page 34: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/34.jpg)
Minimal Gravity Mediation
With the minimal Kahler pot. K, and superpot. W,
where the Hidden and Observ. Sectors are separated,
Universal Soft Masses: A-terms ∝ m0
We set
A0 ≡ aY m0
![Page 35: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/35.jpg)
Minimal Gravity Mediation
With the minimal Kahler pot. K, and superpot. W,
where the Hidden and Observ. Sectors are separated,
A-terms ∝ m0
Assume
fab = δab So Ma = 0 at tree level.
Universal Soft Masses: A-terms ∝ m0
![Page 36: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/36.jpg)
Minimal Gravity Mediation
With the minimal Kahler pot. K, and superpot. W,
where the Hidden and Observ. Sectors are separated,
fab = δab
![Page 37: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/37.jpg)
Wm = ySS 5 5*
Minimal Gauge Mediation
With ONE pair of messenger fields {5 , 5* } ,
![Page 38: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/38.jpg)
Wm = yS 5 5*
Minimal Gauge Mediation
With ONE pair of messenger fields {5 , 5* } ,
Non-universal (dep. on flavors)
Soft Mass corrections !!
![Page 39: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/39.jpg)
Wm = yS 5 5*
Minimal Gauge Mediation
With ONE pair of messenger fields {5 , 5* } ,
![Page 40: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/40.jpg)
Wm = yS 5 5*
Minimal Gauge Mediation
With ONE pair of messenger fields {5 , 5* } ,
![Page 41: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/41.jpg)
Wm = yS 5 5*
Minimal Gauge Mediation
With ONE pair of messenger fields {5 , 5* } , ONE SUSY
breaking source
but
TWO mediations
![Page 42: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/42.jpg)
Wm = yS 5 5*
Minimal Gauge Mediation
With ONE pair of messenger fields {5 , 5* } ,
![Page 43: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/43.jpg)
Wm = yS 5 5*
Minimal Gauge Mediation
With ONE pair of messenger fields {5 , 5* } , Assoc. w/ C.C. prob.
Possible by a GUT Model
MG ≈ 1.3 x 1016 GeV
![Page 44: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/44.jpg)
Wm = yS 5 5*
Minimal Gauge Mediation
With ONE pair of messenger fields {5 , 5* } ,
<FS>/16π2<S> ≡ fS m0
![Page 45: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/45.jpg)
Wm = yS 5 5*
Minimal Gauge Mediation
With ONE pair of messenger fields {5 , 5* } ,
![Page 46: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/46.jpg)
Minimal Mixed Mediation
In the Minimal Mixed Mediation,
As Cg is converted to a Cs , making Cs smaller ,
Fine-Tuning is improved,
until the FP reaches the stop decoupling scale.
![Page 47: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/47.jpg)
![Page 48: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/48.jpg)
messenger scale
= ys<S>
![Page 49: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/49.jpg)
stop mass scale
messenger scales
![Page 50: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/50.jpg)
stop mass scale
messenger scales
Grav.+Gauge Medi. effects
w/o {5,5*}
Grav. Medi. effects with
{5,5*}
![Page 51: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/51.jpg)
Regardless of the Messenger Scales,
a Focus Point appears at 3-4 TeV.
![Page 52: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/52.jpg)
at
QT = 3.5 TeV
for various
trial m02 s
when QM ≈
1.3x1016 GeV
![Page 53: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/53.jpg)
at
QT = 3.5 TeV
for various
trial m02 s
when QM ≈
1.3x1016 GeV
![Page 54: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/54.jpg)
at
QT = 3.5 TeV
for various
trial m02 s
when QM ≈
1.3x1016 GeV
![Page 55: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/55.jpg)
at
QT = 3.5 TeV
for various
trial m02 s
when QM ≈
1.3x1016 GeV
![Page 56: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/56.jpg)
at
QT = 3.5 TeV
for various
trial m02 s
when QM ≈
1.3x1016 GeV
![Page 57: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/57.jpg)
at
QT = 3.5 TeV
for various
trial m02 s
when QM ≈
1.3x1016 GeV
For Case I, II, III, IV,
ΔAt≈{0, 10, 118, 0} |μ|/GeV≈{480, 390, 510, 580}
![Page 58: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/58.jpg)
at
QT = 3.5 TeV
for various
trial m02 s
when QM ≈
1.3x1016 GeV
For At/m0 = +0.1,
{Δm02, ΔAt, |μ|/GeV}≈{22,33,570}
![Page 59: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/59.jpg)
![Page 60: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/60.jpg)
![Page 61: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/61.jpg)
For Δs’ < 100, μ < 600 GeV
- 0.7 < aY < 0.5
![Page 62: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/62.jpg)
For Δs’ < 100, μ < 600 GeV
0.3 < fG < 0.4
![Page 63: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/63.jpg)
For Δs’ < 100, μ < 600 GeV
0.3 < fG < 0.4
Once fG is fixed (by a model),
ΔfG can NOT be discussed, because it changes the C.C.
![Page 64: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/64.jpg)
For Δs’ < 100, μ < 600 GeV
1.6 TeV < M3 < 2.2 TeV
![Page 65: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/65.jpg)
• minimal Gravity medi. + minimal Gauge medi.
at the GUT scale
= precise focusing of mhu2 around stop mass scale.
• mhu2 is insensitive to trial m0
2 or heavy stop masses.
• m02 happens to be ≈ (4-5 TeV)2, which yields
3-4 TeV stop and 125 GeV Higgs masses.
Conclusion
![Page 66: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/66.jpg)
• The fine-tuning measures significantly decrease
well-below 100 even for 3-4 TeV stop masses.
→ predictively small EW scale
• The fine-tuning associated with zero C.C.
would be responsible for the fine-tuning required
in the little hierarchy problem (FS= m0MP).
• Gluino mass is predicted to be about
1.6 TeV – 2.2 TeV.
→ It could readily tested at LHC run2.
Conclusion
![Page 67: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/67.jpg)
SUSY particle masses
For
, ,
,
both and
and
![Page 68: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/68.jpg)
SUSY particle masses
For
, ,
,
both and
and Even for
3 – 4 TeV
![Page 69: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/69.jpg)
SUSY particle masses
For and
3 – 4 TeV 126 GeV Higgs mass
responsible for
, ,
,
![Page 70: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/70.jpg)
SUSY particle masses
For and
3 – 4 TeV 126 GeV Higgs mass
responsible for
, ,
,
![Page 71: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/71.jpg)
SUSY particle masses
For and
3 – 4 TeV 125 GeV Higgs mass
responsible for
, ,
,
sleptons , sbottom masses > 3 – 4 TeV
![Page 72: Relaxation of the Electro-Weak Fine-Tuningindico.ibs.re.kr/event/43/contribution/10/material/slides/0.pdf · • The MSSM has been the most promising BSM candidate. • No obvious](https://reader033.vdocuments.net/reader033/viewer/2022060712/607854c30d1ec04b1a6d42e2/html5/thumbnails/72.jpg)
SUSY particle masses
For and
3 – 4 TeV 125 GeV Higgs mass
responsible for
|μ| = 390 GeV – 590 GeV for mZ = 91 GeV
, ,
,