Lecture 12: SUSY3
Department of Physics and AstronomyTexas A&M University
&Department of Physics
Kyungpook National University
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http://faculty.physics.tamu.edu/kamon/teaching/phys824wcu/
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So far …
Lec 0: IceCube (HW 01)Lec 1: Introduction – PPC, Higgs and SUSYLec 2: Higgs MechanismLec 3: Higgs production and decay at the LHCLec 4: Higgs searches at CMSLec 5: Collider detectors (and CMS)Lec 6: CMS ECALLec 7: CMS ECAL (review) (HW 02)Lec 8: InterconnectionLec 9: Direction Detection ExperimentsLec 10: SUSY (Part 1)Lec 11: SUSY (Part 2) … Bs���
Recaps
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Phys. Lett. B 505 (2001) 161 (Tevatron)Phys. Lett. B 538 (2002) 121 (Tevatron)Phys. Lett. B 611 (2005) 223 (ILC)Phys. Lett. B 618 (2005) 182 (ILC)
Eur. Phys. J. C46 (2006) 43 (LHC+ILC) “ Supersymmetry Parameter Analysis:
SPA Convention and Project ”
Phys. Lett. B 639 (2006) 46 (LHC14)Phys. Lett. B 649 (2007) 73 (LHC14)Phys. Rev. Lett. 100 (2008) 231802 (LHC14)Phys. Rev. D 79 (2009) 055002 (LHC14) Phys. Rev. D 82 (2010) 115009 (LHC14)Focus Point (unpublished) … attempted to reconstruct two topsPhys. Lett. B 703 (2011) 475 (“BEST” at LHC7)Phys. Rev. D 85 (2012) 115007 (Mirage at LHC14)Phys. Rev. D 86 (2012) 015026 (LFV at LHC14)Phys. Rev. D 86 (2012) 075004 (Stops via Tops at LHC8)arXiv:1210.0964 … VBF
Pheno Projects at A Glancehttp://faculty.physics.tamu.edu/kamon/research/TEVpheno/http://faculty.physics.tamu.edu/kamon/research/ILCpheno/http://faculty.physics.tamu.edu/kamon/research/LHCpheno/
Bs � ���CDF PRL 107 (2011) 191801
SUSY Jets+MET+Taus at LHC7CMS SUS-11-007-PASCMS SUS-12-004-Paper (in preparation)
M(top) mass (SKKU + TAMU)
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mSUGRA Overview
m1/2 = Common gaugino mass atMGUTm0 = Common scalar mass atMGUTA0 = Trilinear couping at MGUTsign(�)= sign of � in � HuHd
<Hd>
<Hu>�
2 Higgs Doublets + Supersymmetrized Standard Model + Universality
+
Minimal Supergravity (mSUGRA)
(We choose � > 0 and A0 = 0 for simplicity.)
tan� = <Hu>/<Hd> atMZ
+
(spin ½)
(spin 0)
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“Universality” allowsus to simplify theSUSY world in a 2Dplane (m0 – m1/2).
1) MHiggs > 114 GeV2) Mchargino > 104 GeV3) 2.2x10�4 <Br(b�s �) <4.5x10�4
4) (g�2)� : 3 � deviation from SM5)
?
In the SUSY World
Higgs Slepton Gluino &Squark
Neutralino& Chargino
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Power of Universality
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sleptonsandsquarksfor massesgauginofor
0
1/2
mm
sleptonsandsquarksfor massesgauginofor
0
1/2
mm
)~,~(),()~,~( 10102/111 ��� mmt
Allowed Region
CDM allowed region?
Magnetic Moment of Muon
Higgs Mass (Mh)
Branching Ratio b� s�
Excl
uded
Mas
s of
Squ
arks
and
Sle
pton
s
Mass of Gauginosm1/2
m0
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Cosmologically Allowed Region
CDM allowed region
Magnetic Moment of Muon
Higgs Mass (Mh)
Branching Ratio b� s�
Excl
ude
d
Mas
s of
Squ
arks
and
Sle
pton
s
Mass of Gauginosm1/2
m0
01~
What are the signals from the narrow co-annihilation corridor?
Co-annihilation (CA) Process (Griest, Seckel ’91)
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Tevatrone.g., KIMS
3 Particle-Physics Experiments
LHC
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Excluded by1) Rare B decay b� s�2) No CDM candidate3) Muon magnetic moment
abc
CDMS II
Rouzbeh Allahverdi, Bhaskar Dutta, Yudi SantosoarXiv:0912.4329
Cosmologically Consistent Signals
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M Small
Tevatron
01 ~~ �� �
LHC
Testing the Same SUSY Model ( )
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14
Bs � ��
Bs���
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Prediction/Result in 2002/2011
First 2-side 90%CL Limit
SM Expectation
Why Bs���?This is one of interesting rare decays to test new physicssuch as SUSY:
Br(Bs���)SM ~ 3 x 10-9
Br(Bs���)SUSY ~ Br(Bs���)SM x (10 ~ 1000)
� Within the SM, we will not see any events even with 100 x 1012
collisions at the Tevatron.� In the SUSY models (large tan�), the decay can be enhanced by up
to 1,000.
But the SUSY particle masses are expected to be of orderof 1000 GeV. But the Bs mass is ~5 GeV.
How can I possibly test SUSY models using Bs mesondecays?
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Power of Quantum Fluctuation
Qhigh
Qlow
� = 1/134
� = 1/127
2)( �� �� ���� eeee
�����(Q )
��� tE
New heavy particles can be popped up in loop and this deviates from the SM expectation.
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Feynman Diagrams for Bs���
�
��
��b
s
b
s ��
��
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Cont’d
�
��
��b
sx
�
��
��b
sFCNC
b
b
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FCNC in Bs���
Br(Bs���)
2
+
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���
����
����
����
����
����
�bt
sc
du
,,
Recap: Weak Isospins in the SM
2/12/1
����
w
w
II
3/13/2
����
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Weak Interaction : Flavor Changing Interaction
Kobayashi-Maskawa Matrix
Physics 842, February 2006 Bogdan Popescu
KM is a generalization of Cabibbo-GIM for three generations of quarks.The weak interaction quark generations:
They are related to the physical quarks states by Kobayashi-Maskawa(KM) matrix:
for example :
Canonical form of Uij depend only on three generalized Cabibbo anglesand one phase factor:
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Kobayashi-Maskawa Matrix
Physics 842, February 2006 Bogdan Popescu
The full matrix :
Using the experimental values :
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CKM Matrix in Bs���
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�
31
�
32
�
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�b � t
s � t
Vtb … transition between t and bVts … transition between t and s
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Recap: “Penguin” Diagrams
Note : those types of “loop diagrams” are very important tosearch effects beyond the standard model, because anyundiscovered particles can contribute in the loop as avirtual state !
s s
gt
db
t
W�
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Amplitude of Bs(d)�����
� �
� �� �
� �� �RLbtRb
Lt
Lt
Rs
Rb
Lt
Rb
Lt
tb
Rs
Lt
ts
b
A
bsmmbmsm
bmsmbmsmtbts
bmbmVtb
smsmVts
mAbb
mAM
h
���
����
��
��
�
���
�����
�
tancossin
sincoscossin~~~~
cossin~~
cossin~~
/cos
tan
0
large
for2
cos
��
��
���
����
���
���
����
���
�
�
���
��
�
�
�����
�
�
H/A0
b
s
_
�~
t~tan6�
b
SUSY
�62 tan�Amplitude27
Recap: Fermi’s Theory
Amplitude2
Amplitude
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<4.2x10-9
CMS PAS BPH-12-009
LHCb CONF-2012-017
<8.1x10-10
Bs���
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But, on November 2012
LHCb at HCP2012
New
Bs���
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New
LHCb at HCP2012 Bs���
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NEW
(e.g.) Higgs Signal Strengths
Marcela Carena, SUSY 201234
� [Light 3rd Generation SUSY Particles] � Light stop � direct stop production� Light stau � direct EWKino production
� [Lightest SUSY Particles] � Higgsino LSP � chargino and neutralinos below 200 GeV, with mass
splittings of order 10 GeV. It is very difficult for LHC to observe theseparticles.
See, for example, Papucci, Ruderman, Weiler, arXiv:1110.6926; Baer,Barger, Huang, Tata, arXiv:1203.5539� Mixed bino-axion DM; Mixied higgsino-axion DM; Flavor DM
� [Testing Minimal Models] � mGMSB and mAMSB are ruled out; � mSUGRA : A0 = 0 is ruled out; stau-neutralino is mostly ruled out.See, for example, Howard Baer, Vernon Barger, Azar Mustafayev, “Neutralino dark matter in mSUGRA/CMSSM with a 125 GeV light Higgs scalar”, JHEP 1205 (2012) 091, DOI: 10.1007/JHEP05(2012)091, e-Print: arXiv:1202.4038 [hep-ph]
� [Moving to Non-minimal Models]
Where We Stand …
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SUSY Probe Metric at LHC
Minimal SUGRA
Non-Universal SUGRA
),tan,,( 01/202
~01
Ammh �
D��
),,tan,,( 01/202
~01
��
Ammh D��
July 4, 2012
E
Dec 13, 2011
Tevatron
Precision
We test a minimal casefirst, followed by “non-minimal” cases.
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�����
�
�
�����
�
�
����
��
�
00
00
2
1
0
��
��
��
��
��
scMssMccMcsM
scMccMMssMcsMM
WZWZ
WZWZ
WZWZ
WZWZ
~�
New to Probe �h2
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Phys. Lett. B 505 (2001) 161 (Tevatron)Phys. Lett. B 538 (2002) 121 (Tevatron)Phys. Lett. B 611 (2005) 223 (ILC)Phys. Lett. B 618 (2005) 182 (ILC)
Eur. Phys. J. C46 (2006) 43 (LHC+ILC) “ Supersymmetry Parameter Analysis:
SPA Convention and Project ”
[1] Phys. Lett. B 639 (2006) 46 (LHC14)[2] Phys. Lett. B 649 (2007) 73 (LHC14)[3] Phys. Rev. Lett. 100 (2008) 231802 (LHC14)[4] Phys. Rev. D 79 (2009) 055002 (LHC14) [5] Phys. Rev. D 82 (2010) 115009 (LHC14)[6] Focus Point (unpublished) … attempted to reconstruct two tops[7] Phys. Lett. B 703 (2011) 475 (“BEST” at LHC7)[8] Phys. Rev. D 85 (2012) 115007 (Mirage at LHC14)[9] Phys. Rev. D 86 (2012) 015026 (LFV at LHC14)[10] Phys. Rev. D 86 (2012) 075004 (Stops via Tops at LHC8)[11] arXiv:1210.0964 … VBF
Pheno Projects: Precision Cosmolgyhttp://faculty.physics.tamu.edu/kamon/research/TEVpheno/http://faculty.physics.tamu.edu/kamon/research/ILCpheno/http://faculty.physics.tamu.edu/kamon/research/LHCpheno/
Bs � ���CDF PRL 107 (2011) 191801
SUSY Jets+MET+Taus at LHC7CMS SUS-11-007-PASCMS SUS-12-004-Paper (in preparation)
M(top) mass (SKKU + TAMU)
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Pheno #10: Stop with M3
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Pheno #11: VBF
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Pheno #12: Stop w/ Higgsino DM
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�Introduction
�Prospects for SUSY Searches via VBF (8 TeV � 14 TeV)
�Summary
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VBF as Colorless SUSY Probe
� SUSY World with Lighter 3rd Generation SUSY Particles? � Light stop � direct stop production� Light stau � direct EWKino production
� How to Probe Colorless SUSY Sector?1) Tagging energetic jets (+ MET) from cascade decays2) Tagging leptons
Introduction
� What to do with (i) heavy1st/2nd generation squarksand gluino, and (ii) small M?
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Introduction
� What to do with (i) heavy1st/2nd generation squarksand gluino, and (ii) small M?3) VBF (
Bhaskar Dutta, Alfredo Gurrola,Will Johns, Teruki Kamon, Paul Sheldon, Kuver Sinha
� SUSY World with Lighter 3rd Generation SUSY Particles? � Light stop � direct stop production� Light stau � direct EWKino production
� How to Probe Colorless SUSY Sector?1) Tagging energetic jets (+ MET) from cascade decays2) Tagging leptons
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Higgs Signal Strengths
Production and decay rates could bedeviated from the SM expectationthrough SUSY particles in loop-induced processes
Could be …
SUSY
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SUSY VBF at the LHC))((pp 0
10111 ���� ���� ~~jj~~jj
decay products
2 fb
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VBF Diagrams��� WjjWpp ��� 11pp ~~jj
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VBF Kinematics
� Large MET, large M(jj), large pT jets
)( 21 j,jM TE
)( 1jpT
GeV30)()(
GeV90)(
GeV180)()(
011
01
021
��
�
�
�
�
~M~M
~M
~M~~MBenchmark Point:
Baseline “VBF + MET” Selection:See the next page …
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Baseline VBF+MET Selection
GeV75METGeV;650)(0;24
GeV75)(jpGeV;50(j)pwithjets2
21
21
1TT
!!
"#�#!#
!!
j,jM.
2 Scenarios
30 GeV 30 GeV
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Case 1: Taus via VBF))((pp 0
10111 ���� ���� ~~jj~~jj ))((pp 0
101
021
���� ��� ~~jj~~jj
50
Tau Selection
-1fb25
20 GeV
Benchmark Point
1%f55%;)12(20/20pwithtaus2 T
��$
"#!
.
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Tau Trigger20 GeV
30 GeV
25 GeV
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2Taus+2Jets+MET
2.41
1.77
1.66
BS/S �
BS/S �
BS/S �
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Case 2: Muons in VBF))((pp 0
10111 ������ ���� ~~jj~~jj
)12(20/15pwithmuonsisolated2 T ."#!
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2Muons+2Jets+MET
BS/S �
BS/S �
BS/S �
6.05
4.46
4.15
55
Case 1 vs. Case 2)12(20/15)(pT ."#!�
1%f55%;)12(20/20)(pT
��$
"#!
.
Lower pT cuts help..
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Sleptons via VBF (at 14 TeV)
Z/�
�~
�~
~
[Taken from Fig. 2 of arXiv:9912232]slepton production cross sections at 14TeV. They are pointing out that sleptonpairs produced via VBF in anomalymediated supersymmetry breaking(AMSB) model have very characteristicand almost clean signal at the LHC.
2 fb
�~~
Z/�
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(e.g.) Light Stau PhenomenologyarXiv:1205.5842
Marcela Carena, Stefania Gori, Nausheen R. Shah, Carlos E. M. Wagner, Lian-Tao Wang
Complementary Slepton Searches via VBF
~10 fb (VBF)
14 TeV LHC
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(e.g.) Higgs in pMSSMarXiv:1206.5800
Matthew W. Cahill-Rowley, JoAnne L. Hewett, Ahmed Ismail, Thomas G. Rizzo
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Complementary Charginos/Neutralinos Searches via VBF59
Summary� Difficult to detect charginos, neutralinos, sleptons with mass splitting
of order 10-20 GeV at the LHC.
� VBF trigger: two forward jets with pT>~50 GeV, | #| >~4 and M(jj) >~700 GeV.
� VBF processes: a complementary way to probe low mass colorlessSUSY states at the LHC even at 8 TeV (14 TeV). We could probecharginos (sleptons) directly up to 200 GeV (~500 GeV) with 20-25 fb-1
(100 fb-1).
decay products
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