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Radiative B-L symmetry Radiative B-L symmetry breaking and the Z' mediated breaking and the Z' mediated
SUSY breakingSUSY breaking
Takayuki Kubo (KEK)Takayuki Kubo (KEK)arXiv:0804.3933 [hep-ph]
work in collaboration with Tatsuru Kikuchi (KEK)
SUSY 08, Korea June 17, 20081
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Outline
June 17, 2008SUSY 08, Korea2
Introduction Review of the U(1)B-L extended MSSM Review of the Z’-mediated SUSY
breaking Results Summary
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Introduction (1)
June 17, 2008SUSY 08, Korea3
The U(1)B-L extended MSSM has fascinating features.
Right-handed neutrinos are naturally introduced in order to cancel the anomalies.
B and L violating interactions are forbidden. Discrete symmetries (e.g. R-parity) are not
needed !
Seesaw scale can be understood as a breaking scale of the U(1)B-L symmetry.
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Introduction (2)
June 17, 2008SUSY 08, Korea4
Z’-mediated SUSY breaking need only an extra U(1)’ gauge multiplet. P. Langacker et.al., Phys. Rev. Lett. 100 (2008)
041802 We can identify U(1)B-L as U(1)’
We treat the U(1)B-L extended MSSM in a framework of the Z’-mediated SUSY breaking. Radiative B-L symmetry breaking is achieved. Obtained mass spectra are much different from
mSUGRA.
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Review of the U(1)B-L extended MSSM (1)
June 17, 2008SUSY 08, Korea5
SM and MSSM have a global U(1)B-L symmetry.
But it can not be a local one, since Tr(B-L)3≠0. Q : -1/3, Uc : 1/3, Dc : 1/3, L : -1, Ec : +1, H1 : 0, H2
: 0
Now, add the right-handed neutrinos Nc : +1 .
Tr(B-L)3=0 and U(1)B-L can be a local symmetry !
Right-handed neutrinos are naturally introduced.
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Review of the U(1)B-L extended MSSM (2)
June 17, 2008SUSY 08, Korea6
U(1)B-L symmetry forbids B and L violating terms! UcDcDc : -1/3-1/3-1/3≠0, LQDc : -1+1/3-1/3≠0, LLEc : -1-1+1≠0, etc.
U(1)B-L symmetry forbids B and L violating terms! Discrete symmetries (e.g. R-parity) are not
needed !
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Review of the U(1)B-L extended MSSM (3)
June 17, 2008SUSY 08, Korea7
Superpotential
∆1 and ∆2 are MSSM siglets with B-L charges ∆1 : -2 and ∆2 : +2.
(∆2 is necessary to cancel the anomaly produced by the fermionic component of ∆1.)
U(1)B-L symmetry forbids MNNcNc term !
Instead, ‹∆1› gives the seesaw scale.
Seesaw scale can be understood as the breaking scale of the U(1)B-L symmetry.
2112 ')( cj
ciij
cjiij NNfNLHYWW MSSM
new comers
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Review of the Z’-mediated SUSY breaking (1)
June 17, 2008SUSY 08, Korea8
Extra gauge multiplet U(1)’ couples to both visible and hidden sectors.
U(1)’ gaugino acquires its mass at a scale Λs by a dynamics in the hidden sector.
All the soft-terms are induced by the U(1)’ gaugino mass through the RGE.
VisibleDynamicalSUSYBreaking'
~Z
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Review of the Z’-mediated SUSY breaking (2)
June 17, 2008SUSY 08, Korea9
At the scale Λs, only the U(1)’ gaugino acquires its mass. MSSM gauginos and scalars acquire their masses through
the RGE.
Taking Ma≈100GeV, we have the U(1)’ gaugino mass≈106GeV.
Scalar masses ≈105GeV. At low energy, all the scalars decouple (split SUSY). There is no SUSY flavor & CP problems in this model.
LB
LB
LB
ZZ
sZLBa
a MM
MggM
~
4
~22
~22
10log)16(
LBZ ~
2~
2
~2
2~
2
2~ 10log
16 LB
LB
LB
ZZ
sZLB
fM
M
Mgm
LBZ ~
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Setup
June 17, 2008SUSY 08, Korea10
Superpotential (I have already shown):
SUSY breaking terms: We adopt the “Z’-mediated SUSY breaking”. Z’ is identified as ZB-L in this work. Only four input parameters !
2112 ')( cj
ciij
cjiij NNfNLHYWW MSSM
ssLBsZs fgMLB
at , at , at , ~
=106GeV
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Radiative B-L breaking
June 17, 2008SUSY 08, Korea11
Running behavior for the soft-mass of the ∆1 is shown below.
m2△ 1 goes into the negative region and develops a VEV.
Seesaw scale MN≈‹∆1› are generated dynamically.
≈ 105GeV~106GeV
221 /
1 LBN gmM
Only the B-L gaugino acquires its mass≈106GeV at Λs=109GeVf=5
f=4
f=6f=7
∆1 scalar acquire its mass through the RGE.
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Gaugino Masses
June 17, 2008SUSY 08, Korea12
Running behavior is shown below, where Λs=109GeV and gB-
L=0.5 at μ=Λs.
Mass spectra are much different from mSUGRA (1:2:7) !
The signals at the LHC experiments are rather exotic and interesting.
Only the B-L gaugino acquires its mass≈106GeV at Λs=109GeV
gluinowino
bino
B-L gaugino and all scalars decouples here!
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Summary
June 17, 2008SUSY 08, Korea13
Radiative B-L symmetry breaking works in a framework of Z’-mediation.
The mass spectra for gauginos are much different from mSUGRA.
U(1)B-L extension is fascinating.
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June 17, 2008SUSY 08, Korea14
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Back up
June 17, 2008SUSY 08, Korea15
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Gaugino Masses
June 17, 2008SUSY 08, Korea16
Running behavior is shown below, where Λs=109GeV and gB-L=0.5 at μ=Λs.
Mass spectra are much different from mSUGRA (1:2:7) !
The signals at the LHC experiments are rather exotic and interesting.
Only the B-L gaugino acquires its mass≈106GeV at Λs=109GeV
gluinowino
bino
B-L gaugino and all scalars decouples here!
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Gaugino Masses (2)
June 17, 2008SUSY 08, Korea17
Gaugino masses as a function of the boundary value of gB-L.
Gaugino masses as a function of Λs.
gluinowino
bino
gB-L is set to 0.5 at μ=Λs.
gluinowino
bino
Λs is set to109GeV.
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Summary
SUSY 08, Korea
U(1)B-L extension is fascinating. Existence of RH neutrinos makes U(1)B-L gaugeable. U(1)B-L symmetry forbids B and L violating terms. Seesaw scale can be understood as the breaking
scale of U(1)B-L.
U(1)B-L extended MSSM with Z’-mediation gives characteristic mass spectra. All the sfermion masses become very heavy (~105
GeV). The mass spectra for gauginos are much different
from mSUGRA.
Radiative B-L symmetry breaking works in a framework of Z’-mediation.
June 17, 200818
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Brief Review of the U(1)B-L extended MSSM(4)
June 17, 2008SUSY 08, Korea19
Three features which I have shown Existence of RH neutrinos makes U(1)B-L gaugeable.
U(1)B-L symmetry forbids B and L violating terms. Seesaw scale can be understood as the breaking
scale of U(1)B-L
are enough reason to study the gauged U(1)B-L.
I will show the radiative U(1)B-L symmetry breaking works and the mass spectra is characteristic in a framework of “Z’-mediated SUSY breaking”.