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Problems of the Standard Model
Problems of the Standard Model
Motivation for Supersymmetry
Motivation for Supersymmetry
Motivation for Supersymmetry
Motivation for Supersymmetry
Motivation for Supersymmetry
Motivation for Supersymmetry
Motivation for Supersymmetry
Motivation for Supersymmetry
Minimal SUSY Standard Model (MSSM)
Minimal SUSY Standard Model (MSSM)
Minimal SUSY Standard Model (MSSM)
Minimal SUSY Standard Model (MSSM)
Minimal SUSY Standard Model (MSSM)
Minimal SUSY Standard Model (MSSM)
Minimal SUSY Standard Model (MSSM)
Minimal SUSY Standard Model (MSSM)
Minimal SUSY Standard Model (MSSM)
Minimal SUSY Standard Model (MSSM)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Favoured regions of parameter space
Favoured regions of parameter space
Favoured regions of parameter space
Favoured regions of parameter space
Favoured regions of parameter space
Favoured regions of parameter space
Favoured regions of parameter space
Favoured regions of parameter space
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Constrained MSSM (Choice of constraints)
Favoured regions of parameter space
Favoured regions of parameter space
EGRET constraint
EGRET constraint
Superparticle spectrum
Superparticle spectrum
Favoured regions of parameter space
Favoured regions of parameter space
Prospects for SUSY searches
Prospects for SUSY searches
Constrained MSSM and recent astrophysical data

: A Gladyshev. , . , Constrained MSSM and recent astrophysical data.ppt zip- 1400 .

Constrained MSSM and recent astrophysical data

Constrained MSSM and recent astrophysical data.ppt
1CONSTRAINED MSSM AND RECENT 23with SUSY contribution, which is
ASTROPHYSICAL DATA. Alexey Gladyshev proportional to ?. This requires positive
(JINR, Dubna & ITEP, Moscow) SEMINAR sign of ? . Sleptons of the second
AT KEK THEORY GROUP November 1, 2004. generation are relatively light. A
2CMSSM and recent astrophysical data. Gladyshev (JINR/ITEP) Constrained MSSM
Various constraints, both theoretical and and recent astrophysical data.
experimental imposed on model parameters, 24Constrained MSSM (Choice of
are discussed. It is shown how each of constraints). Muon anomalous magnetic
them restrict allowed regions of the moment. Regions excluded by muon anomalous
parameter space. The most recent results magnetic moment constraint ( tan ? = 35,
include the constraints coming from 50 ). A Gladyshev (JINR/ITEP) Constrained
astrophysical data. Introduction. MSSM and recent astrophysical data.
Motivations for supersymmetry. Minimal 25Constrained MSSM (Choice of
Supersymmetric Standard Model Constraints constraints). The lightest supersymmetric
on MSSM parameters. Allowed regions of particle (LSP) is neutral. This constraint
parameter space. WMAP and EGRET is a direct consequence of R-parity
constraints Conclusions. A Gladyshev conservation and is almost automatic.
(JINR/ITEP) Constrained MSSM and recent Excluded regions are shown for tan ? =35,
astrophysical data. 50. A Gladyshev (JINR/ITEP) Constrained
3Problems of the Standard Model. MSSM and recent astrophysical data.
Problem of unification: There is no 26Constrained MSSM (Choice of
unification in the Standard Model constraints). Experimental lower limits on
Hierarchy problem: Why there are two very Higgs and superparticle masses. In MSSM
different scales: electroweak (MW? 100 GeV the couplings in the Higgs potential are
) and Grand Unification (MGUT ? 1015-16 the gauge couplings. At the tree level the
GeV ) or Plank (MPl ? 1019 GeV ) ? Even if lightest Higgs boson is lighter than Z0 !
one postulates this hierarchy it is (if mA?MZ). A Gladyshev (JINR/ITEP)
destroyed by radiative corrections (or Constrained MSSM and recent astrophysical
they must cancel with 10-14 accuracy). A data.
Gladyshev (JINR/ITEP) Constrained MSSM 27Constrained MSSM (Choice of
and recent astrophysical data. constraints). Experimental lower limits on
4Motivation for Supersymmetry. Grand Higgs and superparticle masses. However,
Unification Theories: real coupling loop corrections, especially originating
constant unification Unification of matter from top quark and stops, can increase mh
and forces Unification of particle physics considerably. 1-loop contribution is large
and gravity (supergravity) Solution to the and positive 2-loop contribution is small
hierarchy problem: add a superpartner and negative. A Gladyshev (JINR/ITEP)
and quadratic divergencies cancell. A Constrained MSSM and recent astrophysical
Gladyshev (JINR/ITEP) Constrained MSSM data.
and recent astrophysical data. 28Constrained MSSM (Choice of
5Motivation for Supersymmetry. Upper constraints). Experimental lower limits on
bound on the Higgs boson Radiative Higgs and superparticle masses. Masses of
electroweak symmetry breaking Solution to other Higgses are always much larger than
the Dark Matter problem in the Universe mh and thus they decouple. The lightest
(neutralino) Superstrings SUSY is the most Higgs has the couplings of the SM Higgs
popular idea beyond the SM. Baryonic within a few per cent. The experimental
matter All matter Dark energy. A Gladyshev limits on the SM Higgs MH >114 GeV can
(JINR/ITEP) Constrained MSSM and recent be taken. Fit of electroweak data. A
astrophysical data. Gladyshev (JINR/ITEP) Constrained MSSM
6Minimal SUSY Standard Model (MSSM). and recent astrophysical data.
Particle content of the Minimal 29Constrained MSSM (Choice of
Supersymmetric Standard Model: A Gladyshev constraints). Experimental lower limits on
(JINR/ITEP) Constrained MSSM and recent Higgs and superparticle masses. Regions
astrophysical data. excluded by Higgs experimental limits
7Minimal SUSY Standard Model (MSSM). provided by LEP2 for tan ? = 35, 50. A
Lagrangian of the Minimal Supersymmetric Gladyshev (JINR/ITEP) Constrained MSSM
Standard Model: Yukawa interactions. A and recent astrophysical data.
Gladyshev (JINR/ITEP) Constrained MSSM 30Constrained MSSM (Choice of
and recent astrophysical data. constraints). Experimental lower limits on
8Minimal SUSY Standard Model (MSSM). Higgs and superparticle masses. LEP2
Supersymmetry is a broken symmetry. collaborations have finished taking data
Breaking takes place in a hidden sector. and collected the rich statistics for e+e?
Messengers to the visible sector can be CM energies up to ?s ? 208 GeV. Searches
gravitino, gauge bosons, gauginos, for superpartners at LEP2 gave negative
Breaking must be soft (dimension of soft results. A Gladyshev (JINR/ITEP)
SUSY breaking operators ? 3). A Gladyshev Constrained MSSM and recent astrophysical
(JINR/ITEP) Constrained MSSM and recent data.
astrophysical data. 31Constrained MSSM (Choice of
9Constrained MSSM. Free parameters of constraints). Cold Dark Matter Constraint.
the Minimal Supersymmetric Standard Model The evidence for the Dark Matter: Flat
Gauge and Yukawa coupling constants Higgs rotation curves of spiral galaxies
mixing parameter Soft supersymmetry Gravitational lensing Motion of galaxies
breaking parameters Higgs self-interaction within clusters Large scale structure
coupling constant is not a free parameter, formation Flat rotation curves tell that
but is fixed by supersymmetry. A Gladyshev there exist about ten times more mass in
(JINR/ITEP) Constrained MSSM and recent the halo around galaxies than in the stars
astrophysical data. of the disc. The rotation curve of the
10Constrained MSSM. In total one has Milky Way confirms the usual picture. A
about a hundred parameters Main Gladyshev (JINR/ITEP) Constrained MSSM
uncertainties come from soft supersymmetry and recent astrophysical data.
breaking parameters. Universality 32Constrained MSSM (Choice of
hypothesis: soft supersymmetry breaking constraints). Cold Dark Matter Constraint.
parameters unify at the scale of Grand Types of the Dark Matter: Baryonic dark
Unification. A Gladyshev (JINR/ITEP) matter (ten times more than visible matter
Constrained MSSM and recent astrophysical 4 %, estimation comes from primordial
data. deuterium abundance) . Candidates: MACHOs
11Constrained MSSM. As a result one has (whita dwarfs, brown dwarfs, planets)
only 5 free parameters instead of 2 in the Non-baryonic hot dark matter.
Standard Model Further limitations in Candidates: massive neutrinos.
parameter space come from constraints both Contribution is comparable with the one of
theoretical and experimental Gauge luminous matter. Non-baryonic cold dark
coupling constants unification Radiative matter. Candidates: weakly interacting
electroweak symmetry breaking Yukawa massive particles (WIMPs) ? Particle
coupling unification Data on rare Physics and Supersymmetry. A Gladyshev
processes Muon anomalous magnetic moment (JINR/ITEP) Constrained MSSM and recent
Neutrality of lightest supersymmetric astrophysical data.
particle Dark matter constraint. A 33Constrained MSSM (Choice of
Gladyshev (JINR/ITEP) Constrained MSSM constraints). Cold Dark Matter Constraint.
and recent astrophysical data. Supersymmetry provide a perfect candidate
12Constrained MSSM. ?1,?2,?3 mt,mb,m? MZ for dark matter the neutralino the
BR(b?s?) ? MGUT,?GUT Yt0,Yb0,Y?0 m0,m1/2 mixture of superpartners of photon Z-boson
tan ? ? A0. MGUT,?GUT Yt0,Yb0,Y?0 m0,m1/2 and neutral Higgs bosons Neutral particle
tan ? ? A0. Constraints are used to The lightest supersymmetric particle (LSP)
determine allowed regions in the parameter Stable !!! Experimental lower mass limit
space by minimizing the ?2-function. m? > 45 GeV. A Gladyshev (JINR/ITEP)
Experimental data (input). Experimental Constrained MSSM and recent astrophysical
data (input). Fit parameters. Fit data.
parameters. low tan? high tan? A Gladyshev 34Favoured regions of parameter space.
(JINR/ITEP) Constrained MSSM and recent Pre-WMAP allowed regions in the parameter
astrophysical data. space. From the Higgs searches tan ?
13Constrained MSSM. Fitted parameters m0 >4, from a? measurements ?>0. tan
but large m1/2 and A0 are initial ?=35 Fit to all constraints tan ? =50. A
conditions for the renormalization group Gladyshev (JINR/ITEP) Constrained MSSM
equations for superparticle masses The and recent astrophysical data.
ratio of v.e.v.s tan ? is highly 35Favoured regions of parameter space.
constrained Higgs mixing parameter ? can tan ?=35 Fit to Dark Matter constraint tan
be related to other parameters The role of ? =50. Pre-WMAP allowed regions in the
A is not significant, one cane safely put parameter space. Inclusion of dark matter
A0 =0 In fact one has only a pair (m0 , constraint strongly limit the parameter
m1/2 ) as independent parameters. A space (the neutralino relic density must
Gladyshev (JINR/ITEP) Constrained MSSM fall in the allowed range). A Gladyshev
and recent astrophysical data. (JINR/ITEP) Constrained MSSM and recent
14Constrained MSSM (Choice of astrophysical data.
constraints). MSUSY ~ 1 TeV. Unification 36Constrained MSSM (Choice of
of gauge coupling constants. This strict constraints). Cold Dark Matter Constraint.
constraint fixes the threshold of SUSY Recent WMAP data (2003) on termal
breaking MSUSY ~ 1 TeV. Sparticle masses fluctuations of CMBR Combination with
should lie in the TeV range. This fact other cosmic experiments gives. A
finds also an indirect support in the high Gladyshev (JINR/ITEP) Constrained MSSM
precision LEP data. A Gladyshev and recent astrophysical data.
(JINR/ITEP) Constrained MSSM and recent 37Favoured regions of parameter space.
astrophysical data. WMAP data leave only very small allowed
15Constrained MSSM (Choice of region as shown by the thin blue line
constraints). Unification of Yukawa which give acceptable neutralino relic
coupling constants. The b-? unification density Excluded by LSP Excluded by Higgs
along with the value of the top mass leads searches at LEP2 Excluded by REWSB. A
to two possible scenarios determined by Gladyshev (JINR/ITEP) Constrained MSSM
the value of tan ? Small (low) tan ? ? 1 - and recent astrophysical data.
3 Large (high) tan ? ? 50. Small (low) 38Favoured regions of parameter space.
Large (high) tan ? (1-3) tan ? (~50). A Bulk region The region is characterized by
Gladyshev (JINR/ITEP) Constrained MSSM low m0 and low m1/2 Typical processes:
and recent astrophysical data. annihilation of neutralinos through
16Constrained MSSM (Choice of t-channel slepton exchange: The bulk
constraints). Unification of Yukawa region is practically excluded by LEP2. A
coupling constants. However, the Gladyshev (JINR/ITEP) Constrained MSSM
non-observation of the Higgs boson up to and recent astrophysical data.
114 GeV practically exclude the low tan ? 39Favoured regions of parameter space.
scenario. The modern limit tan ? > 3 - Stau-coannihilation region The region is
4 The high tan ? scenario still survives characterized by low m0 but large m1/2
and has got another independent Masses of tau-slepton and neutralino
confirmation from the Dark Matter problem. (which has large higgsino component there)
Small (low) Large (high) tan ? (1-5) tan ? almost degenerate Typical processes:
(~50). A Gladyshev (JINR/ITEP) neutralino-stau co-annililation: A
Constrained MSSM and recent astrophysical Gladyshev (JINR/ITEP) Constrained MSSM
data. and recent astrophysical data.
17Constrained MSSM (Choice of 40Favoured regions of parameter space.
constraints). Radiative electroweak Focus point region The region is
symmetry breaking and Z0 mass. characterized by large m0 and low to large
Minimization conditions for the Higgs m1/2 At the boundary of REWSB excluded
potential relate the Z0-boson mass to region ? becomes smaller and neutralino is
model parameters. The sign of ? remains almost higgsino Typical processes:
undetermined. For large values of tan? annihilation of neutralinos to gauge
This can only take place if m2H2 is bosons: A Gladyshev (JINR/ITEP)
negative. A Gladyshev (JINR/ITEP) Constrained MSSM and recent astrophysical
Constrained MSSM and recent astrophysical data.
data. 41Favoured regions of parameter space.
18Constrained MSSM (Choice of A-annihilation funnel region The region
constraints). Radiative electroweak where Typical processes: resonance
symmetry breaking and Z0 mass. This annihilation of neutralinos to fermion
happens at some low energy due to large pairs through exchange of heavy Higgses A
top Yukawa coupling. The Higgs scalar (and/or H): The region reguires large tan
fields gain non-zero vacuum expectation ? A Gladyshev (JINR/ITEP) Constrained
values and the electroweak symmetry is MSSM and recent astrophysical data.
broken. A Gladyshev (JINR/ITEP) 42EGRET constraint. EGRET data on
Constrained MSSM and recent astrophysical diffuse galactic gamma ray flux show a
data. clear excess for energies above 1 GeV in
19Constrained MSSM (Choice of comparison with the expectations coming
constraints). Radiative electroweak from conventional models The excess is
symmetry breaking and Z0 mass. The seen with the same spectrum in all sky
requirement of radiative electroweak directions Blue dots EGRET data Yellow
symmetry breaking adjust the initial value area theoretical expectations. A
m0 In the case of large tan ? the Gladyshev (JINR/ITEP) Constrained MSSM
situation is even more difficult. A and recent astrophysical data.
Gladyshev (JINR/ITEP) Constrained MSSM 43EGRET constraint. Possible
and recent astrophysical data. explanation: the excess is due to
20Constrained MSSM (Choice of neutralino (Dark Matter) annihilation An
constraints). Data on rare processes additional contridution from Thi limits
branching ratios. Flavour changing the neutralino mass to the 50-100 GeV
processes like responsible for the rare range, thus put limits on the m1/2
B-meson decays can occur at the one-loop parameter. A Gladyshev (JINR/ITEP)
level due to virtual W-top pair. In SUSY Constrained MSSM and recent astrophysical
models there are additional contributing data.
diagrams. In the leading order, 44Favoured regions of parameter space.
contribution from superpartners to the The region compatible with all electroweak
branching ratio may be rather big, constraints as well as with WMAP and EGRET
exceeding the experimental value by constraints are rather small It
several standard deviations. A Gladyshev corresponds to the best fit values of
(JINR/ITEP) Constrained MSSM and recent parameters tan ? = 51 m0 = 1400 GeV m1/2 =
astrophysical data. 180 GeV A0 = 0.5 m0. A Gladyshev
21Constrained MSSM (Choice of (JINR/ITEP) Constrained MSSM and recent
constraints). Data on rare processes astrophysical data.
branching ratios. The next-to-leading 45Superparticle spectrum. Superparticle
order corrections are essential and spectrum for m0=1400 GeV, m1/2=180 GeV
improve the situation. The 95% CL range (region where electroweak, WMAP and EGRET
corresponds to 2? deviation away from the constraints are fulfilled) Squarks and
mean value. A Gladyshev (JINR/ITEP) sleptons have masses in TeV range Gluinos,
Constrained MSSM and recent astrophysical charginos and neutralinos are relatively
data. light. A Gladyshev (JINR/ITEP)
22Constrained MSSM (Choice of Constrained MSSM and recent astrophysical
constraints). Data on rare processes data.
branching ratios. The parameter space is 46Favoured regions of parameter space.
restricted, especially for large tan ?. Allowed regions in mSUGRA parameter space
Exclusion plots for tan ? =35 and 50. A for tan ? = 35, 55. A Gladyshev
Gladyshev (JINR/ITEP) Constrained MSSM (JINR/ITEP) Constrained MSSM and recent
and recent astrophysical data. astrophysical data.
23Constrained MSSM (Choice of 47Prospects for SUSY searches. The reach
constraints). Muon anomalous magnetic of Fermilab TEVATRON, CERN LHC, and 500
moment. Recent measurement of the and 1000 GeV linear electron-positron
anomalous magnetic moment indicates small colliders for supersymmetry discovery. A
deviation from the SM of the order of Gladyshev (JINR/ITEP) Constrained MSSM
2-3?. The deficiency may be easily filled and recent astrophysical data.
Constrained MSSM and recent astrophysical data.ppt
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Constrained MSSM and recent astrophysical data

Constrained MSSM and recent astrophysical data

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