Moduli stabilization, SUS Moduli stabilization, SUS Y breaking and the Higgs Y breaking and the Higgs sector sector Tat Tat suo Kobayashi suo Kobayashi １． １． Introduction Introduction 2. KKLT scenario 2. KKLT scenario 3 3 ． ． Generalized KKLT scenario Generalized KKLT scenario 4. TeV scale mirage mediation 4. TeV scale mirage mediation 5. Summary 5. Summary based on based on Choi, Jeong, T.K., Okumura, hep-ph/0508029, 06 Choi, Jeong, T.K., Okumura, hep-ph/0508029, 06 12258 12258 Abe, Higaki, T.K., hep-th/0511160, 0512232, 07 Abe, Higaki, T.K., hep-th/0511160, 0512232, 07 07.2671 07.2671 Abe, Higaki, T.K., Omura, hep-th/0612035 Abe, Higaki, T.K., Omura, hep-th/0612035 Abe, T.K., Omura, hep-ph/0703044 Abe, T.K., Omura, hep-ph/0703044 Abe, Kim, T.K., Shimizu, 0706.4349[hep-ph] Abe, Kim, T.K., Shimizu, 0706.4349[hep-ph]
Transcript
Moduli stabilization, SUSY breakinModuli stabilization, SUSY breaking and the Higgs sector g and the Higgs sector Tatsuo KobTatsuo Kobayashiayashi１．１． IntroductionIntroduction2. KKLT scenario2. KKLT scenario33 ．． Generalized KKLT scenarioGeneralized KKLT scenario4. TeV scale mirage mediation4. TeV scale mirage mediation5. Summary5. Summary based on based on Choi, Jeong, T.K., Okumura, hep-ph/0508029, 0612258Choi, Jeong, T.K., Okumura, hep-ph/0508029, 0612258 Abe, Higaki, T.K., hep-th/0511160, 0512232, 0707.2671Abe, Higaki, T.K., hep-th/0511160, 0512232, 0707.2671 Abe, Higaki, T.K., Omura, hep-th/0612035Abe, Higaki, T.K., Omura, hep-th/0612035 Abe, T.K., Omura, hep-ph/0703044Abe, T.K., Omura, hep-ph/0703044 Abe, Kim, T.K., Shimizu, 0706.4349[hep-ph]Abe, Kim, T.K., Shimizu, 0706.4349[hep-ph]
1. Introduction1. IntroductionMotivation for low-energy SUSYMotivation for low-energy SUSY the hierarchy problem, naturalness problemthe hierarchy problem, naturalness problem gauge coupling unificationgauge coupling unification dark matterdark matter SUSY should be broken and SUSY should be broken and superpartners should have larger masses.superpartners should have larger masses. Phenomenological aspects depend on Phenomenological aspects depend on a pattern of SUSY breaking terms, a pattern of SUSY breaking terms, gaugino masses, sfermion masses, etc.gaugino masses, sfermion masses, etc. Such a pattern is determined by how SUSY Such a pattern is determined by how SUSY breaking is mediated to the visible sector.breaking is mediated to the visible sector.
SUSY breaking mediationSUSY breaking mediationSeveral mediation mechanisms of SUSY breakingSeveral mediation mechanisms of SUSY breaking Supergravity mediation (mSUGRA)Supergravity mediation (mSUGRA) (moduli-dilaton mediation)(moduli-dilaton mediation) Gauge mediationGauge mediation Anomaly mediationAnomaly mediation New type of mechanismNew type of mechanism Mirage mediation Mirage mediation This talk covers theoretical side and This talk covers theoretical side and discusses some phenomenological aspects.discusses some phenomenological aspects. Mirage mediation can be realized in Mirage mediation can be realized in string-derived supergravity.string-derived supergravity. TeV scale mirage is quite interesting, and TeV scale mirage is quite interesting, and leads to a unique pattern of s-spectrum.leads to a unique pattern of s-spectrum.
String phenomenologyString phenomenologySuperstring theory is a promising candidate Superstring theory is a promising candidate for unified theory including gravity.for unified theory including gravity.Superstring theory has several moduli fieldsSuperstring theory has several moduli fields including the dilaton. including the dilaton. Moduli correspond to the size and shape Moduli correspond to the size and shape of compact space. of compact space. VEVs of moduli fields VEVs of moduli fields couplings in low-energy effective theory, couplings in low-energy effective theory, e.g. gauge and Yukawa couplings e.g. gauge and Yukawa couplings Thus, it is important to stabilize moduli VEVs Thus, it is important to stabilize moduli VEVs at realistic values from the viewpoint of at realistic values from the viewpoint of particle physics as well as cosmologyparticle physics as well as cosmologyActually, lots of works have been done so far.Actually, lots of works have been done so far.
Moduli stabilization and SUSY breakingModuli stabilization and SUSY breakingLow-energy effective theory = supergravityLow-energy effective theory = supergravityModuli-stabilizing potential may break SUSY.Moduli-stabilizing potential may break SUSY. When When
Moduli-mediated SUSY breaking is dominant unless couplings Moduli-mediated SUSY breaking is dominant unless couplings between the visible sector and moduli fields are suppressed between the visible sector and moduli fields are suppressed by some reason. by some reason. This is the conventional approach.This is the conventional approach.Gaugino masses and sfermion masses are comparable Gaugino masses and sfermion masses are comparable with the gravitino mass. with the gravitino mass. (Ratios are fixed by supergravity Lagrangian.)(Ratios are fixed by supergravity Lagrangian.)For example, when gauge kinetic functions and Kahler For example, when gauge kinetic functions and Kahler metric are universal, that leads to the spectrum of mSUGRA.metric are universal, that leads to the spectrum of mSUGRA.
)(/ 2/3mOMF
Moduli stabilization and SUSY breakingModuli stabilization and SUSY breaking
The magnitude of moduli F-components depend on The magnitude of moduli F-components depend on moduli stabilization mechanism.moduli stabilization mechanism.
When F/M is smaller than the gravitino mass, When F/M is smaller than the gravitino mass, another contribution is also important or rather dominant.another contribution is also important or rather dominant.
⇒⇒ Different spectrum of s-particlesDifferent spectrum of s-particles
)(/ 2/3mOMF
KKLT scenarioKKLT scenario Kachru, Kallosh, Linde, Trivedi, ‘03Kachru, Kallosh, Linde, Trivedi, ‘03They have proposed a new scenario for moduli stabilization They have proposed a new scenario for moduli stabilization leading to de Sitter (or Minkowski) vacua, leading to de Sitter (or Minkowski) vacua, where all of moduli are stabilized.where all of moduli are stabilized.
Soft SUSY breaking termsSoft SUSY breaking terms Choi, Falkowski, Nilles, Olechowski, Pokorski ’04, CFNO ‘05Choi, Falkowski, Nilles, Olechowski, Pokorski ’04, CFNO ‘05 a unique patter of soft SUSY breaking termsa unique patter of soft SUSY breaking terms Modulus med. and anomaly med. are comparable.Modulus med. and anomaly med. are comparable. Mirage (unification) scale Mirage (unification) scale Mirage Mediation Mirage Mediation Choi, Jeong, Okumura, ‘05Choi, Jeong, Okumura, ‘05
2. KKLT scenario2. KKLT scenarioThis scenario consists of three steps in type IIB.This scenario consists of three steps in type IIB.1)1) Flux compactificationFlux compactification Giddings, Kachru, Polchinski, ‘01Giddings, Kachru, Polchinski, ‘01The dilaton S and complex structure moduli U areThe dilaton S and complex structure moduli U are assumed to be stabilized by assumed to be stabilized by the flux-induced superpotentialthe flux-induced superpotential
while the Kaher moduli T remain not stabilized.while the Kaher moduli T remain not stabilized. (It is stabilized in the next step.)(It is stabilized in the next step.)
),( USW flux
2) Non-perturbative effect2) Non-perturbative effectWe add T-dependent superpotential induced byWe add T-dependent superpotential induced by e.g. gaugino condensation on D7.e.g. gaugino condensation on D7.
Scalar potentialScalar potential
T is stabilized at DT is stabilized at DTTW=0W=0 SUSY Anti de Sitter vacuum V < 0 SUSY Anti de Sitter vacuum V < 0
Unit :Unit :
)1(,),( OAAeUSWW aTflux
)ln(3 TTK
TTT
TTTT
KF
WWKWD
WKWDWDeV
]||3)([ 2
1PM
Stabilization of TStabilization of T
gravitino mass gravitino mass Scalar potentialScalar potential
T is stabilized at DT is stabilized at DTTW=0W=0 SUSY Anti de Sitter vacuum V < 0 SUSY Anti de Sitter vacuum V < 0
Moduli massModuli mass
aTflux AeW
)/ln(),10(
0
flux
aTaTfluxTT
WAaTOa
aAeAeWKWD
]||3)([ 2WKWDWDeV TTTT
KF
2/3
22/3
)(
3
maTm
mV
T
F
fluxWm 2/3
3) Uplifting3) UpliftingWe add uplifting potential generated by We add uplifting potential generated by e.g. anti-D3 brane at the tip of warp throate.g. anti-D3 brane at the tip of warp throat
The value of D can be suppressed by the warp factor.The value of D can be suppressed by the warp factor.We fine-tune such that We fine-tune such that VVFF+V+VL L = 0 (or slightly positive)= 0 (or slightly positive) SUSY breaking de Sitter/Minkowski vacuumSUSY breaking de Sitter/Minkowski vacuumT is shifted slightly from the point DT is shifted slightly from the point DTTW=0W=0
mSnL eDTTDV p
216,)/(
,Re)(
,0 2/3
Ta
m
TT
FF
TT
14)/ln(Re 22/3 mMTa P
Configuration in compact Configuration in compact spacespace
T T anti D3 anti D3 (SUSY breaking s(SUSY breaking s
ource)ource) visible sectorvisible sector
UpliftingUplifting VV
SUSY breakingSUSY breaking
total potential total potential
TT
before upliftingbefore uplifting
SUSY pointSUSY point
Mirage mediationMirage mediation
If aT = O(1), moduli-mediation is dominant If aT = O(1), moduli-mediation is dominant However, when aT=O(10), moduli mediation and However, when aT=O(10), moduli mediation and anomaly mediation are comparable, that is, anomaly mediation are comparable, that is, Mirage mediation.Mirage mediation. Choi, Jeong, Okumura, ‘05Choi, Jeong, Okumura, ‘05
For scalar masses, we can obtain the same For scalar masses, we can obtain the same behavior.behavior. Scalar masses (Mx) = mixture of Scalar masses (Mx) = mixture of (modulus med.) and (Anomaly med.).(modulus med.) and (Anomaly med.).
However, at the mirage scale, However, at the mirage scale, RG effect and Anomaly med. are cancelled each RG effect and Anomaly med. are cancelled each
other.other.
Scalar mass due to modulus Scalar mass due to modulus med.med.Kahler metricKahler metric
Scalar mass due to modulus mediation Scalar mass due to modulus mediation
metricKahler matter :
potentialKahler modulus:
)(3/
i
ni
K
Z
K
TTZe i
22 || Tii Fnm
Soft SUSY breakingSoft SUSY breakingModulus med. and anomaly med. are comparable.Modulus med. and anomaly med. are comparable.It is useful to define the ratio, AM/modulus med.It is useful to define the ratio, AM/modulus med.
An interesting aspect is the mirage scale, where An interesting aspect is the mirage scale, where anomaly med. at the cut-off scale and RG effects anomaly med. at the cut-off scale and RG effects between the cut-off scale and the mirage scale between the cut-off scale and the mirage scale cancel each other.cancel each other.
Original KKLT Original KKLT α=1 α=1 Mirage scale = intermediate scaleMirage scale = intermediate scaleα=2 ⇒ TeV scale mirageα=2 ⇒ TeV scale mirage
)/ln( 2/30
2/3
mMM
m
P
2/2/3 )/(
PXmirage
v
MmMM
Tf
example example
Suppose that the modulus mediation leads to Suppose that the modulus mediation leads to the s-spectrum of mSUGRA.the s-spectrum of mSUGRA.
α=0 ⇒α=0 ⇒ usual mSUGRA usual mSUGRA
α=2 ⇒ TeV scale mirageα=2 ⇒ TeV scale mirage
6:2:1:: 321 MMM
1:1:1:: 321 MMM
3. Generalized KKLT 3. Generalized KKLT 3.1 questions and generalization3.1 questions and generalization Each step has further question and generalization. Each step has further question and generalization.
1) Are S and U stabilized really ? 1) Are S and U stabilized really ? What happens if they are not stabilized ?What happens if they are not stabilized ? Is two-step stabilization reliable ?Is two-step stabilization reliable ? If S and U have SUSY masses much larger If S and U have SUSY masses much larger than the gravitino mass, S and U are stabilized. than the gravitino mass, S and U are stabilized.
Abe, Higaki, T.K., ‘06Abe, Higaki, T.K., ‘06
2) Moduli mixing superpotential2) Moduli mixing superpotentialIn several string models, gauge kinetic function f isIn several string models, gauge kinetic function f is obtained as a linear combination of two or moreobtained as a linear combination of two or more fields.fields.Weakly coupled hetero. /heterotic MWeakly coupled hetero. /heterotic M Similarly, Similarly, IIA intersecting D-branes/IIB magnetized D-branesIIA intersecting D-branes/IIB magnetized D-branes Lust, et. al. ’04Lust, et. al. ’04Gaugino condensation Gaugino condensation exp[-a f] exp[-a f]Moduli mixing superpotentialModuli mixing superpotentialWhat happens with moduli-mixing superpotential ?What happens with moduli-mixing superpotential ?
TSf
wTmSf
3) F-term uplifting3) F-term upliftingCan anti-D3 brane (explicit breaking) be replaced Can anti-D3 brane (explicit breaking) be replaced by spontaneous SUSY breaking sector ?by spontaneous SUSY breaking sector ?
Dudas, Papineau, Pokorski,’06Dudas, Papineau, Pokorski,’06 Abe, Higaki, T.K., Omura, ’06Abe, Higaki, T.K., Omura, ’06 Kallosh, Linde, ’06Kallosh, Linde, ’06 Abe, Higaki, T.K., ‘07Abe, Higaki, T.K., ‘07Yes, that is possible in a simple model.Yes, that is possible in a simple model.
3-2. moduli-mixing superpotential3-2. moduli-mixing superpotential In several string models, gauge kinetic function f isIn several string models, gauge kinetic function f is obtained as a linear combination of two or more obtained as a linear combination of two or more fields.fields.
⇒⇒ change F-term of T after upliftingchange F-term of T after uplifting
Gauge kinetic function of the visible sector Gauge kinetic function of the visible sector ⇒ ⇒ change ratio of gaugino mass to F-termchange ratio of gaugino mass to F-termBoth change a value of αBoth change a value of α
)(81
2 nSkTeAcW
nSmTfv
Our model Our model Choi, Jeong, T.K. Okumura, ‘06Choi, Jeong, T.K. Okumura, ‘06
m,n,k,p are discrete.m,n,k,p are discrete.S is replace by its VEV.S is replace by its VEV.We also add the same uplifting potential.We also add the same uplifting potential.
pSTf
eAeAW
TTK
v
nSkTmS
)(8
18
0
22
)ln(3
mkpnm /)(
Generic results Generic results T is stabilized at the AdS SUSY point T is stabilized at the AdS SUSY point before uplifting.before uplifting.
After adding the uplifting potential, After adding the uplifting potential, the minimum shifts slightly and the F-term of T the minimum shifts slightly and the F-term of T becomes non-vanishing.becomes non-vanishing. The size of F-term depends on m and n.The size of F-term depends on m and n.That leads to a rich structure of SUSY breaking termThat leads to a rich structure of SUSY breaking term
s, e.g. different patterns of s-particle masses.s, e.g. different patterns of s-particle masses.
Cosmological implications Cosmological implications Moduli fields are also important from Moduli fields are also important from the viewpoint of cosmology, e.g. inflation. the viewpoint of cosmology, e.g. inflation. Some moduli fields may be a candidate for Some moduli fields may be a candidate for inflaton.inflaton. Moduli-mixing superpotential has interesting Moduli-mixing superpotential has interesting aspects for cosmology.aspects for cosmology.
CosmologyCosmology
Original KKLTOriginal KKLT Height of bump is Height of bump is determined by determined by gravitino massgravitino mass
Overshooting problem Overshooting problem Brustein, Steinhardt, ‘93Brustein, Steinhardt, ‘93 Inflation ? Inflation ? destabilization due to finite temperature effectsdestabilization due to finite temperature effects Buchmuller, et. al. ‘04Buchmuller, et. al. ‘04
Racetrack modelRacetrack model The above problems may The above problems may be avoided. be avoided.
bbb NTwSmeCW /)(8 2
420
ˆ)]/([ TwTmSV
bbbbaa NTwSmNTwSm eeW /)(8/)(8 22
3.2 F-term uplifting3.2 F-term uplifting Dudas, et. al. ’06, Dudas, et. al. ’06, Abe, Higaki, T.K., Omura ’06Abe, Higaki, T.K., Omura ’06 Kallosh, Linde, ‘06Kallosh, Linde, ‘06 Abe, Higaki, T.K., ‘07Abe, Higaki, T.K., ‘07 Can we realize uplifting by a spontaneous SUSY breaking ?Can we realize uplifting by a spontaneous SUSY breaking ?
If the potential minimum corresponds to If the potential minimum corresponds to non-vanishing Dnon-vanishing DXXW, F-term of X uplifts the vacuum energy.W, F-term of X uplifts the vacuum energy.
Any g(x) is OK, e.g. the Intriligator-Seiberg-Shih model.Any g(x) is OK, e.g. the Intriligator-Seiberg-Shih model.
)(XgAecW aT
Simple modelSimple modelFor g(X), we use e.g. the ISS model.For g(X), we use e.g. the ISS model. Intriligator, Seiberg, Shih, ‘06Intriligator, Seiberg, Shih, ‘06 The ISS model itself is the global SUSY model.The ISS model itself is the global SUSY model.After integrating out heavy modes, we have After integrating out heavy modes, we have That breaks SUSY spontaneouslyThat breaks SUSY spontaneously
One-loop effective potential induces the mass term One-loop effective potential induces the mass term
XXg 2)(
22XmX
2XF
Simple modelSimple modelOur modelOur model
When A=0, SUSY is broken.When A=0, SUSY is broken.
We can fine-tune c and μ such that V=0. We can fine-tune c and μ such that V=0.
When μ=0, T is stabilized at the SUSY point, When μ=0, T is stabilized at the SUSY point,
XAecW aT 2
0WDT
2XF
222
2
0
)/(3/213/
2
X
X
mc
cm
x
Simple modelSimple modelAround the reference point, Around the reference point, we search the true minimum, where we search the true minimum, where We can do a similar analysis for different g(X).We can do a similar analysis for different g(X).
We can also analyze the T-X mixing caseWe can also analyze the T-X mixing case
0,0 WDxX T
cTbTaT CeBXeAewW 0
])/ln[/()/( 2/32/3 mMmOTTF PT
Stringy origin for ISSStringy origin for ISSISS = dual of SU(N) theory with NISS = dual of SU(N) theory with Nff flavor quarks, flavor quarks, ⇒ ⇒ Stringy origin Stringy origin
Non-perturbative effectNon-perturbative effect
qmqW
aTcT
aTcS
AeeqCqwW
AeeqCqwW
0
0
XW 2
F-term uplifting F-term uplifting Three sources of SUSY breakingThree sources of SUSY breaking
Modulus mediation and anomaly mediation Modulus mediation and anomaly mediation are are
comparable.comparable.
)mediationanomaly (,, CTX FFF
2/32
2/3
)4/1( mMOF
mMF
PT
PX
Spectra in F-term upliftingSpectra in F-term uplifting 1) When Fx is sequestered from the visible sector 1) When Fx is sequestered from the visible sector
like anti-D3 brane in the original KKLT, like anti-D3 brane in the original KKLT, modulus mediation and anomaly mediation are modulus mediation and anomaly mediation are comparable, i.e. mirage mediation.comparable, i.e. mirage mediation.
2) When contact terms between the visible matter 2) When contact terms between the visible matter fields and X are not suppressedfields and X are not suppressed sfermion masses ←sfermion masses ← Fx Fx gaugino masses ←gaugino masses ← mirage mediationmirage mediation
sfermion masses >> gaugino masses by O(10)sfermion masses >> gaugino masses by O(10)
4.TeV-scale mirage mediation:4.TeV-scale mirage mediation: solution for the fine-tuning solution for the fine-tuning problemproblemTeV scale mirage mediation leads to the unique TeV scale mirage mediation leads to the unique pattern of s-particle spectrum, pattern of s-particle spectrum, gaugino masses degenerate around 1 TeVgaugino masses degenerate around 1 TeV sfermion masses degenerate around 1 TeV sfermion masses degenerate around 1 TeV
the little hierarchy between the stop massthe little hierarchy between the stop mass and the Higgs soft mass is naturally realized and the Higgs soft mass is naturally realized at TeV scale.at TeV scale.
In this type of models, there is no fine-tuning probleIn this type of models, there is no fine-tuning problem.m.
4.1 the fine-tuning problem4.1 the fine-tuning problem Higgs sector Higgs sector
Supersymmetric mass terms in superpotentialSupersymmetric mass terms in superpotential
Favored pattern of mass parametersFavored pattern of mass parameters
If we can realize “naturally” the following If we can realize “naturally” the following little hierarchylittle hierarchy
that would be favorable from a simple that would be favorable from a simple
bottom-up viewpoint to avoid the fine-bottom-up viewpoint to avoid the fine-tuning tuning
problem. problem.
That is possible in the mirage mediation.That is possible in the mirage mediation.
2222 ||, ZHutstop MmAm
4.2 TeV-scale mirage mediation4.2 TeV-scale mirage mediationBy choosing discrete values, n,m,p,k, we can obtain By choosing discrete values, n,m,p,k, we can obtain α=2 ⇒α=2 ⇒ Mirage scale = TeV scale Mirage scale = TeV scale If the modulus mediation leads to If the modulus mediation leads to
the little hierarchy between the stop massthe little hierarchy between the stop mass and the Higgs soft mass is naturally realized and the Higgs soft mass is naturally realized at TeV scale.at TeV scale. at higher loop levelat higher loop level
In this type of models, there is no fine-tuningIn this type of models, there is no fine-tuning proproblem.blem.
They can relax the fine-tuning problem.They can relax the fine-tuning problem.They have unique patterns.They have unique patterns.It is interesting to study more their It is interesting to study more their
Higgsisno << bino, winoHiggsisno << bino, wino LSP = Higgsino-likeLSP = Higgsino-like Dark matter ???Dark matter ??? Thermal relic density is rather smallThermal relic density is rather small
ZstopZ MmMM 22/1 8,
4.3 More about fine-tuning:4.3 More about fine-tuning: bottom-up approach bottom-up approach
Abe, T.K.,Omura, ‘07Abe, T.K.,Omura, ‘07Soft Higgs mass Soft Higgs mass
Cancellation between gluino mass and Cancellation between gluino mass and wino mass is important, but bino mass is not so wino mass is important, but bino mass is not so important.important.
gluino and wino masses are comparable at Mz.gluino and wino masses are comparable at Mz.
r2 = M2/M3, r1= M1/M3 at Mxr2 = M2/M3, r1= M1/M3 at MxFavorable region r2=4 , -3 < r1 < 10Favorable region r2=4 , -3 < r1 < 10
partial TeV scale mirage unificationpartial TeV scale mirage unification Abe, Kim, T.K.,Shimizu, ‘07Abe, Kim, T.K.,Shimizu, ‘07
Everything is the same as the previous one, Everything is the same as the previous one, except U(1) gauge kinetic function. except U(1) gauge kinetic function. We take U(1) gauge kinetic function different We take U(1) gauge kinetic function different from SU(3) and SU(2) ones such that they lead from SU(3) and SU(2) ones such that they lead to the gauge coupling unification. to the gauge coupling unification.
pSTf
eAeAW
TTK
v
nSkTmS
)(8
18
0
22
)ln(3
2/)( mkpnm
Extended model Extended model LSP = mixture between higgsino and bino LSP = mixture between higgsino and bino
⇒ ⇒ different phenomenology, different phenomenology, e.g. dark mattere.g. dark matter can lead to a right amount of thermal relic densican lead to a right amount of thermal relic densi
ty as a dark matter ty as a dark matter Further study would be interestingFurther study would be interesting
SummarySummaryWe have studied KKLT type models with We have studied KKLT type models with moduli-mixing superpotential.moduli-mixing superpotential.
Soft SUSY breaking terms in generalized modelsSoft SUSY breaking terms in generalized models have a rich structure. have a rich structure. in general mixture of modulus mediation and anomaly mediin general mixture of modulus mediation and anomaly medi
ation ation with a certain ratio, i.e. mirage mediationwith a certain ratio, i.e. mirage mediation sometimes modulus med. >> anomaly med. sometimes modulus med. >> anomaly med. or modulus med. << anomaly med.or modulus med. << anomaly med. further studyfurther study
TeV scale partial mirage model TeV scale partial mirage model also important, e.g. for the fine-tuning problemalso important, e.g. for the fine-tuning problem and dark matter physics and dark matter physics
SummarySummaryWe have also studied on the F-term uplifting scenario,We have also studied on the F-term uplifting scenario, that is, spontaneous SUSY breaking.that is, spontaneous SUSY breaking.
Soft SUSY breaking terms in generalized modelsSoft SUSY breaking terms in generalized models have a rich structure. have a rich structure. Sfermion masses would be heavier than gaugino masses. Sfermion masses would be heavier than gaugino masses. Sequestering is quite important.Sequestering is quite important. further study further study Abe, Higaki, T.K. Omura, in progressAbe, Higaki, T.K. Omura, in progress
