probing the r-parity violating supersymmetry effects in
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llKBllBs
(*)& Decays
Ru-Min WangRu-Min Wang
Henan Normal University
Huazhong Normal University
In collaboration with:Yuan-Guo Xu & Ya-Dong Yang
Oct 28, 2006, Guilin
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Motivation
Theoretical input
summary
Outline
NEXT
llKBllsB (*)& in effectsSUSY RPV
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Motivation
FCNC transitions are sensitive to NP contr-i
butions, especially in b->s transitions
New physics will be chased at LHC in loop
B decays.
.,, s
Blslbsb
.running of year1 within observe willLHCb s
B
year.per events 4400 :LHCb - 0*0 KB
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The two-Higgs doublet model (2HDM) Yuan-Ben Dai et al, Phys.Lett.B390,257(1997). Chao-Shang Huang et al., Phys.Rev.D63,114021(2001). C. Bobeth et al, Phys.Rev.D64,074014(2001). G. Erkol and G. Turan, Nucl.Phys.B635,286(2002). S. Schilling et al., Phys.Lett.B616,93(2005).
The supersymmetric model (SUSY) A. Ali et al., Phys.RevD61,074024(2000). E. Lunghi et al., Nucl.Phys. B568,120(2000). D. A. Demir et al, Phys.Rev. D66,034015(2002). Chao-Shang Huang and Xiao-Hong Wu, Nucl.Phys.B657,304(2003). S. R. Choudhury et al, Phys.Rev. D69,054018(2004).
The top quark two-Higgs doublet model (T2HDM) Zhen-jun Xiao and Lin-xia Lu, Phys. Rev.D74,034016(2006).
We try to calculate RPV SUSY effects .
Previous analysis of NP
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Using the latest data to obtain
the new upper limits on the
relevant RPV couplings.
Using the constrained RPV
couplings to examine the RPV
effects on
Comparing the SM predictions
with the RPV predictions about
).(
&)((*)
llKBA
llBBr
FB
s
.ˆ
)(&
ˆ)( (*)(*)
sd
llKBdA
sd
llKBdBrFB
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Motivation
Theoretical input
Summary
Outline
llKBllsB (*)& in effectsSUSY RPV
NEXT
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llKBllBqs
(*) in Diagrams in Diagrams
EM,Z0 penguins
W box
=u,d
The Standard Model The Standard Model
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SM in for amplitudesDecay llBs
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SM in for amplitudes Decays llKBq
(*)
A.Ali et al., Phys.Rev.D61,074024(2000).
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: Yukawa couplings
i, j,k : generation indices
C : charge conjugate field
)1(23 SLB
pR :parity-R
1B1L
DDUDQLELLHLWc
k
c
j
c
ijki
c
kjiijk
c
kjikijuiiR ˆˆˆˆˆˆˆˆˆˆˆ ][][ 2
1
2
1
R-parity violating superpotential:
R-parity Violating SUSY R-parity Violating SUSY
S is the particle spin
B is the baryon number
L is the lepton number
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sneutrino exchange squark exchange s-channel t-channel
: llBs
:(*) llKBq
Feynman diagrams in RPV SUSY
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2
1&
2
155
RLPP
squark exchange
sneutrino exchange
sneutrino exchange
Effective Hamiltonian in RPV SUSY
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llBs
in amplitudesRPV
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lKlBq
in aplitudesRPV
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llKBq
* in amplitudesRPV
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2(*)
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(*)2
2
2
)(2ˆˆ
)(
)(8
||)(
llKBMm
udsd
llKBBd
llBMm
pllBB
BB
s
B
cB
s
s
ratios Branching
~~~ MMMMMuSM
amplitudeDecay
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)( (*) llKBAqFB
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Motivation
Theoretical input
Summary
Outline
llKBllsB (*)& in effectsSUSY RPV NEXT
hep-ph/0610338
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Experimental dataExperimental data
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con
strain
To constrain RPV couplingsTo constrain RPV couplings
The experimental data of the branching ratios
The relevant RPV coupling products
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Constraned parameter spacesConstraned parameter spaces
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Upper limitsUpper limits
from RPV mSUGRA
at MGUT scale
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pred
ict
.parameters input the on scan a Perform
spaces. couplingRPV dconstrainenew The
(*)FB
(*)(*)
RPV effects on ( )& A ( )
( )( ) RPV effects on &
ˆ ˆ
s
FB
Br B l l B K l l
dA B K l ldBr B K l l
ds ds
RPV SUSY predictions RPV SUSY predictions
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Regions of predictionsRegions of predictions
squark exchange sneutrino exchange
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Features of the numerical resultsFeatures of the numerical results
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Phys.Rev.D73,092001(2006).
Phys.Rev.Lett.96,092001(2006).
l=e [0.00,0.29] , l=mu [0.02,0.76]
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eeBeeKBs
ii
&(*)
*
2131in of Effects
s
ii
BKB &(*)
*
2232in of Effects
<=0.76<
=0.
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eeBeeKBs
ii
&(*)
*
3211in of Effects
s
ii
BKB &(*)
*
3222in of Effects
2x10^-7 10^-
7
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eeBeeKBs
ii
&(*)
23
*
11in of Effects
s
ii
BKB &(*)
23
*
22in of Effects
2x10^-7 10^-
7
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Motivation
Theoretical input
Summary
Outline
llKBllsB (*)& in effectsSUSY RPV
NEXT
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Summary
Derived new upper bounds on relevant RPV couplings with
the latest experimental data of their branching ratios.
These predictions could be tested at LHC.
.& (*) llKBllBs
four two in
onscontributiSUSY RPV the calculated have We
. in on effectsRPV the Shown
on effectsRPV the Predicted
llKBsddAsddB
llK(BAllBB
FB
FBs
(*)
(*)
ˆ/&ˆ/
).&)(
NP. and SM the between ndistinctio theallow
decays. the of dynamics thestudy
year.per events 4400 :LHCb -
FBA
σ(B)
KB
%2~
0*0
LHCb. at running of year1 withinobserved be will
year.per events 17 :LHCb -
s
s
B
B
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