baryon and lepton numbers life in the desert...1 baryon and lepton numbers: life in the desert pavel...
TRANSCRIPT
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Baryon and Lepton Numbers: Life in the Desert
Pavel Fileviez Perez
Center for Cosmology and Particle Physics (CCPP) New York University
Talk at PASCOS2012, Merida, June 6, 2012
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Collaborators:
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J. M. Arnold (Caltech)
V. Barger (UW-Madison)
B. Fornal (Caltech)
P. Nath (Northeastern Univ.)
S. Spinner (SISSA)
M. K. Trenkel (Germany)
M. B. Wise (Caltech)
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ReferencesP. F. P., S. Spinner, Phys.Lett.B673:251,2009; Phys.Rev.D83:035004,2011.
V. Barger, P. F. P., S. Spinner, Phys.Rev.Lett.102:181802,2009.
P. F. P., S. Spinner, M. K. Trenkel, Phys.Lett.B702(2011)260;Phys.Rev.D84(2011)09528.
P. F. P., M. B. Wise, Phys.Rev.D82:011901,2010.
P. F. P., M. B. Wise, Phys. Rev. D84(2011)055015.
P. F. P., M. B. Wise, JHEP1108(2011)068.
D. Feldman, P. F. P., P. Nath, JHEP 1201 (2012) 038.
P. F. P., Phys.Lett. B711 (2012) 353-359.
P. F. P., S. Spinner, JHEP 04 (2012) 118.
J. Arnold, P. F. P., B. Fornal, S. Spinner, hep-ph/1204.4458
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Standard Model
NewTheory
SUSY (RpV)
GUTs (proton decay,
neutrino masses)
Others
Very often we need to think about the B and L violationand postulate a desert between the low and high scales !
B, L and Physics beyond the SM
cL⇤2
QQQL,c�⇤LLH2
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The World Largest Deserts
Deserts take up about one third (33%) of the Earth's land surfaceThanks to Wikipedia
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The Desert Hypothesis in Particle Physics:
LOW
SCALE
HIGH
SCALE
c
�2QQQL
��p > 1032�34 years =) � > 1015 GeV
�
Standard Model GUTs, Strings ?
B and L Violation: Seesaw Camel
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The Desert Hypothesis and Supersymmetry:
LOW
SCALE
HIGH
SCALE
MSSM GUTs, Strings ?
B and L Violation:
10 TeV ? 100 TeV ? ...
c5�QQQL
��p > 1032�34 years =) � > 1016�17 GeV
�
What about the LHu, LLec, QLdc and ucdcdcinteractions?
Seesaw Camel
Unification of Gauge Couplings !
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Aim: Minimal SupersymmetricStandard Model
What is the origin of the lepton and baryon number violating interactions in the MSSM?
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LOW
SCALE
HIGH
SCALE
MSSM GUTs, Strings ?
B and L Violation:
10 TeV ? 100 TeV ? ...
c5�QQQL
��p > 1032�34 years =) � > 1016�17 GeV
�
What about the LHu, LLec, QLdc and ucdcdcinteractions?
Aim: Can we break B and L at the TeV scale?
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Outline
- Introduction
- B and L in the Super-World
- Minimal Theory for R-parity (Non) Conservation
- Life in the Desert
- Summary
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Introduction:
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�B = 1, �L = odd
Experimental Results
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- Proton Decay:
Miura, BLV2011
Generic Prediction from any GUT !
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�B = 2
�n�n > 10
8 s (free neutrons)
p p ! K+K+
�pp!K+K+ > 1032 years
- N-Nbar Oscillations:
- Di-nucleon Decays: �B = 2
Kamyshkov, Y 2012
(SK, Litos, 2010)
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�L = 2
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- Neutrinoless double beta decay
Rodejohann, 2011
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�B 6= 0nB � nB
n�⇠ 10�10
�Li 6= 0
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- Neutrino Oscillations:
Cosmology
Baryon Asymmetry: Baryon Number Violation
Sakharov’s Condition, 1967
Talks by Lindner, Valle, A. de Gouvea.
Can we expect B and L violation at the LHC ?
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B and L in the Super-World
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M = (�1)3(B�L)M = �1 for
ˆ
Q, uc, ˆdc, ˆL, ec, �c
M = +1 for Hu, Hd, Vi
B and L Violation in the MSSM
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Majorana Neutrino Masses
Example:
e.g. Hirsch, Diaz, Porod, Romao, Valle, 2000
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Proton Decay and R-Parity
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MGUT ⇠ 1016 GeV
d=5 operators
Example:
Dimopoulos, Raby, Wilczek,
P. Nath, Chamseddine,Bajc, P.F.P., Senjanovic
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What is the origin of the lepton and baryon number violating interactions in the MSSM?
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B-L Symmetry and R-parity
Aulakh, Mohapatra, 1982; Hayashi, A. Murayama, 1985; Mohapatra, 1986; Krauss, Wilczek, 1988;Font, Ibanez, Quevedo, 1989; Masiero, Valle’90Martin, 1992;Aulakh, Bajc, Melfo, Senjanovic, 2001P. F. P., S. Spinner, 2008-2012V. Barger, P. F. P., S. Spinner, 2008
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SU(2)LO
SU(2)RO
U(1)B�L
L =
✓�e
◆⇠ (2, 1,�1)
� =
✓H0
d H+u
H�d H0
u
◆⇠ (2, 2, 0)
SU(2)RO
U(1)B�L U(1)Y
h⌫ci 6= 0
Lc =
✓�c
ec
◆⇠ (1, 2, 1)
Which is the minimal SUSY Left-Right Theory ?
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Minimal Theory for R-parity Violation
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The Minimal B-L Model predicts
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- R-parity must be spontaneously broken !
- The B-L and R-parity breaking scales are defined by the SUSY scale.
- Lepton number violating signals at the LHC !
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Scalar Potential and Symmetry Breaking
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B-L Breaking and SUSY Scales
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Realistic Spectrum
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Mohapatra’86; Ghosh, Senjanovic, Zhang’10
Barger, P.F.P., Spinner’10
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Talk by Hannestad
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The Desert Again !
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P. F. P., Spinner, 2010
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Signatures at the LHC- Gluino as the LSP
- Squark as the LSP
- Charged Slepton as the LSP
- Neutral Slepton as the LSP
- Chargino as the LSP
- Neutralino as the LSP
P. F. P., S. Spinner, JHEP 04 (2012) 118
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P. F. P., S. Spinner, JHEP 04 (2012) 118Neutralino as the LSP
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Decay Length P. F. P., S. Spinner, JHEP 04 (2012) 118
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Branching Ratios
P. F. P., S. Spinner, JHEP 04 (2012) 118
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Number of Events
P. F. P., S. Spinner, JHEP 04 (2012) 118
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Discovery Reach at the LHC
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Model III: Stueckelberg B-L Model (Feldman, P.F.P., Nath’11)
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�SU(5)
WRpV = ✏iˆ5i5H + �ijk10iˆ5j ˆ5k + ⌘iˆ5i24H 5H
�SO(10)45H , 54H , ˆ126H , ˆ126H
F�c = ⇥ h�ci = 0 (SUSY Limit)
(210H)
R-parity and Grand Unification in 4D
Enforce Matter Parity Conservation
e.g. Aulakh, Bajc, Melfo, Senjanovic‘2000
Remark: We need to enforce the conservation of a discrete symmetry in models with 16_H Higgses
NO “simple” GUT which predicts R-parity Conservation !46
Talk by S. Raby
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Life in the Desert
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LOW
SCALE
HIGH
SCALE
MSSM GUTs, Strings ?
B and L Violation:
10 TeV ? 100 TeV ? ...
c5�QQQL
��p > 1032�34 years =) � > 1016�17 GeV
�
What about the LHu, LLec, QLdc and ucdcdcinteractions?
Aim: Can we break B and L at the TeV scale?
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B and L as Local Symmetries
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E. P. Wigner, 1952
S. Rajpoot, 1987
Foot, Joshi, Lew, 1989
Carone, Murayama, 1995
P. F. P., M.B. Wise, 2010
Breaking Local Baryon and Lepton Number at the TeV Scale (NO Desert !!)
P. F. P., M. B. Wise, JHEP 1108(2011) 068
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Q4, uc4, d
c4, L4, e
c4, �
c4
Qc5, u5, d5, L
c5, e5, �5
BQ4 + BQc5= �1,
LL4 + LLc5= �3
Breaking B and L at the TeV Scale
MSSM Matter
Extra Vector-like family
Anomaly free theory
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P. F. P., M.B. Wise, JHEP 1108(2011)068
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WQ = �QQ4Qc5SB + �uu
c4u5
ˆSB + �ddc4d5
ˆSB
WL = Ye4L4Hdec4 + Ye5L
c5Hue5 + Y�4L4Hu⇥
c4
+ Y�5Lc5Hd⇥5 + Y�LHu⇥
c + ��c ⇥c⇥c ˆSL
WX = �1QQc5X + �2u
cu5ˆX + �3d
cd5ˆX + µXX ˆX
W5 =a1�ucdcdcSB
P. F. P., M.B. Wise, JHEP 1108(2011)068
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The BLMSSM
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GSM
OU(1)B
OU(1)L GSM
OML
�B = 1,�L = 2
hSLi 6= 0, hSBi 6= 0
ML = (�1)L
a1�ucdcdcSB
a1 hSBi�
ucdcsc, ....
Symmetry Breaking
Symmetry Breaking at TeV and NO proton decay
P. F. P., M.B. Wise, JHEP 1108(2011)068
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mSB ,mSL ,mSBand mSL
are soft masses.
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Local B and L are broken at the TeV Scale
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- No Landau poles at the low scale.
- The LHC bounds from SUSY searches could be avoided due to B violation.
- The Higgs boson mass can be large without assuming a large stop mass and left-right mixing.
Main Features:
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- Local B and L can be spontaneously broken at the TeV scale.
- The Proton is stable.
- No Flavour Violation at Tree Level.
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115� 122 GeV
122� 128 GeV
M⌫4 = M⌫5 = 90 GeV
Me4 = Me5 = 100 GeVMh
P.F.P., Phys.Lett. B711 (2012) 353; J.M.Arnold, P.F.P., B. Fornal, S. Spinner, hep-ph/1204.4458
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Predictions for the Light Higgs Boson Mass
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2�00
ijkucid
cj d
ck, �
00
ijkucid
cjd
ck
�00
ijk = aijk1
vBp2�
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Stop as the LSP and BNV:
J.M.Arnold, P.F.P., B. Fornal, S. Spinner, hep-ph/1204.4458
a1�ucdcdcSB
Form bounded states and give rise to displaced vertices !
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Summary- The Minimal B-L Theories predict that R-parity should be spontaneously broken and one expects Lepton Number Violation at the LHC.
- There is no “simple” grand unified theory in 4D for R-parity conservation.
- There is no need for a desert if B and L are gauged and broken at the low scale.
- A simple theory where B and L are local gauge symmetries spontaneously broken at the SUSY scale was presented. This theory predicts B and L violation at the LHC !
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Muchas Gracias !
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MSSM Interactions
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RpCRpC
RpV
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p p ! X1
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SignalsattheLHC
SingleProduction: pp� X1 � NN � e±i e±j 4j
BenchmarkI:
mABL = 1 TeV, mX1 = 300 GeV, mZBL = 1.5 TeV,
mt1 = 150 GeV, mq,l = 1 TeV, mNi = 95 GeV,
�pp�X1 = 16.3 fb
L = 100 fb�1
Leptonnumberviolationplustwodisplacedvertices64
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P. F. P., M.B. Wise, JHEP 1108(2011)068
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pp ! gg ! tt bb e�i e�j , tt tt ��
pp ! gg ! 4j e�i e�j , 4j ��
�(µ±µ±) < 58 fb
Mg > 1 TeV
Gluino as the LSP
Inclusive study by ATLAS: arXiv:1201.1091
Heavy Spectrum !
P. F. P., S. Spinner, hep-ph/1201.5923
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pp ! t�t ! bb e±i e⇥j , tt ��
pp ! q�q ! 2j e±i e⇥j , 2j ��
pp ! e⇤i ei ! tt bb, e+i e�i ��
pp ! �⇤i �i ! bb bb, ����
Squark as the LSP
Charged Slepton as the LSP
Neutral Slepton as the LSP
P. F. P., S. Spinner, hep-ph/1201.5923
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pp ! ⇥+⇥� ! e+i e�j ZZ, �� W+W�
pp ! Z� ! �01�
01 ! 4j e±i e
±j
pp ! ⇥01⇥
±1 ! 4j � e±i e
±j e
±k
Chargino as the LSP
Neutralino as the LSP
(Higgssino Case)
The Most Interesting Signals !
P. F. P., S. Spinner, hep-ph/1201.5923
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P. F. P., S. Spinner, JHEP 04 (2012) 118
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