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Study of exclusive radiative Study of exclusive radiative
B decays with LHCbB decays with LHCb
Galina Pakhlova, (ITEP, Moscow)
for LHCb collaboration
Advanced Study Institute “Physics at LHC”, LHC Praha-2003,
B Physics Day, 11/07/2003
2
Physics motivationPhysics motivation
Constraint on CKM matrix elements |VConstraint on CKM matrix elements |Vtdtd/V/Vtsts|| from the ratios of decay from the ratios of decay rates rates
s
s
Search for New PhysicsSearch for New Physics Direct CP violation ACP < 1% in SM (tiny u quark contribution in loop) up to ~ 10% in SM extensions s
Mixing-induced CP violation ~0 in SM (different polarizations in and decays)
up to ~ 50% in SM extensions s
with e.g.
s (Dalitz plot
analysis of s to extract flavour blind
s ) Exotics, super rare decays
(s)l+ l-,
(s), etc
Test of QCD Test of QCD nb etc
bb s(d)s(d)
WW
t(c,u)t(c,u)
3
Experimental overviewExperimental overview
The first exclusive radiativeThe first exclusive radiativepenguin penguin was observed by was observed by CLEO CLEO inin 1993 1993
Belle Belle
Upper limit Upper limit BABAR BABAR
barionbarion
Upper Upper limit CLEO limit CLEO
Statistics at B-factories is still not sufficient for stringent Statistics at B-factories is still not sufficient for stringent test of SM in CP violation in radiative decays and for test of SM in CP violation in radiative decays and for observation of observation of b b d d
(4.3 (4.3 ± 0.4)×10± 0.4)×10-5-5 PDG PDG 20032003
(3.8 (3.8 ± 0.5)×10± 0.5)×10-5-5 PDG PDG 20032003
CPCP -0.01 -0.01 ± 0.07 ± 0.07 PDG PDG 20032003
(1.3 (1.3 ± 0.5)×10± 0.5)×10-5-5 PDG PDG
20032003
4
decaydecayvertexvertex
primaprimaryry
vertexvertex decaydecaydistancdistancee Impact Impact
Parameter (IP)Parameter (IP)
NNb hadronsb hadrons yearyear all types of b hadrons all types of b hadrons
bbbb/ / inel inel ~ ~
high charged and high charged and neutral neutral
multiplicitymultiplicity few primary verticesfew primary vertices
event at LHCbevent at LHCb
5
Challenge Challenge
Electromagnetic penguins are indeed Electromagnetic penguins are indeed rare B rare B decaysdecays
inclusive Br b s exclusive Br are ~10-100 smaller b d are further suppressed by |Vtd/Vts|2
fb Sf(b
Background sources Background sources Huge combinatorial background from generic bb events Minimum bias events X decays
separation using different shower shape
for X=V polarization can be exploited
6
Search for CP violationSearch for CP violation Direct CP violationDirect CP violation
no tag and lifetime analysis are required Systematic errors are of great importance:
fake (non-CP) asymmetries different and production rates in pp
interactions detector asymmetries
Hopefully can be calibrated with other final states
e.g. J/ Mixing-induced CP violationMixing-induced CP violation
need to tag flavour proper time resolution is critical
especially forSdue to fast oscillations (x s >19) to be
resolved
7
Can we measure radiative decays at Can we measure radiative decays at LHCb LHCb
Direct CPDirect CP
Energetic huge softandbackground can be effectively
removed dedicated trigger selects high ETphotons at Level 0
two charged tracks vertex reconstruction
S S ss decay & mixing-induced CP decay & mixing-induced CP
smallnarrowcut; small yield in decays: background conditions are more favourable
extremely small opening angle problem with
S vertex (proper time) resolution
b b dd smallnarrow cut problem with combinatorial background from
in progress (not presented here)
8
reconstructionreconstruction
SelectSelect combinations combinations Tracks are consistent with Tracks are consistent with hypothesis hypothesis RejectReject tracks from all primary vertices tracks from all primary vertices ((
IPIP
>16)>16) produce secondary vertex produce secondary vertex (( PDG PDG MeV/c MeV/c22
EETT GeV GeV (close to L0 trigger requirement)(close to L0 trigger requirement)
E*E*TT GeV GeV Select primary vertex with Select primary vertex with minimum IP of minimum IP of
candidate candidate Require Require momentum and flight direction to be momentum and flight direction to be
consistent consistent ((mrad)mrad) helicity angle: in helicity angle: in rest frame rest frame |cos (p|cos (pBB, p, pKK)|<0.7)|<0.7
9
Background suppression (1)Background suppression (1)
No No IP IP cutcut
optimizedoptimized
IPIP> 16> 16
SSBB
c
oco
mb
mb
Require large IP of Require large IP of to all reconstructed primary vertex to all reconstructed primary vertex ((
IPIP> 16)> 16)
suppress primary tracks suppress primary tracks
especially effective background suppression in events with especially effective background suppression in events with multiple interactionsmultiple interactions
10
Background suppression (2)Background suppression (2)
Transverse energy Transverse energy E*E*TTininrest framerest framevs vs EET T in the in the lab framelab frame
EETTGeV GeV powerful against low energyand
E*E*TTGeVGeV rejects also soft candidates
EET T , GeV, GeV
E*
E* TT
G
eV
GeV
E*
E* TT
G
eV
G
eV
bb bb inclusiveinclusive
EET T , GeV, GeV
11
Background suppression (3)Background suppression (3)
reconstructed reconstructed momentummomentum
reconstructedreconstructeddecay decay vertexvertexreconstructedreconstructed
primary vertexprimary vertex
AngleAnglebetween between momentum momentum andand flight direction flight direction should be should be 0 for real 0 for real candidates (smeared by candidates (smeared by vertex resolution)vertex resolution) randomly distributed for randomly distributed for combinatorial backgroundcombinatorial background
One of the most powerful One of the most powerful cut!cut!
signalsignal ~ 60% ; ~ 60% ; bbbb < <
1%1%
12
suppressionsuppression
Significant suppression of Significant suppression of fastfastis expected after application of is expected after application of special algorithm for special algorithm for separation based on separation based on shower shape shower shape (to be implemented soon) (to be implemented soon)
Contribution from Contribution from is is small and can be further small and can be further suppressed exploiting suppressed exploiting polarization :polarization :
helicity states helicity states 0 0
helicity:helicity: ininrest frame rest frame cos (pcos (pBB, , ppKK))
13
: signal and background : signal and background summarysummary
~ 4 min LHCb~ 4 min LHCb
0 events0 events in in (4.5-6.0) GeV/c(4.5-6.0) GeV/c22 mass mass window window after trigger and off-line after trigger and off-line selectionselectionwith all available MC statistics with all available MC statistics ~ 10.3 M~ 10.3 M events events
~ 54 hours ~ 54 hours LHCbLHCb
MeV/MeV/cc22
In blue:In blue:contribution contribution fromfrom
after trigger and off-line cutsafter trigger and off-line cuts
ofofBrBrPDG PDG
20032003
14
Annual yield and CP Annual yield and CP sensitivitysensitivity
Efficiency, [%]Efficiency, [%] NNyearyear CC
PPReconstructiReconstruction on
& & acceptanceacceptance
selectioselection n
triggetriggerr
totaltotal
4.54.5 9.29.2 3838 0.160.16 35 K35 K < < 0.010.01
BACKGROUND / SIGNALBACKGROUND / SIGNAL < 0.7< 0.7 @@ 90 % CL90 % CL
Assuming:Assuming:
Br Br = ( 4.3 = ( 4.3 0.4 ) 0.4 ) × × 1010-5-5
f f b b = 0.39= 0.39
N N N N
CP CP N N N N
15
SSreconstructionreconstruction
Two different tasksTwo different tasks Branching ratio measurementBranching ratio measurement
similar to reconstruction: Tracks are consistent with hypothesis Reject tracks from all primary vertices (
IP > 4) produce secondary Vertex ( PDG MeV/c2
ET GeV (close to L0 trigger requirements) E*T GeV Select primary vertex with minimum IP of
S candidate
S momentumandflight direction to be consistent
mrad ( worse S vertex resolution)
helicity : in rest frame |cos(pB,pK)| < 0.7 Search for mixing-induced CP:Search for mixing-induced CP: selection to be re-optimizedselection to be re-optimized
16
ss background background
suppressionsuppression
narrownarrow< < MeV/cMeV/c22
Background is mainly due to real Background is mainly due to real Fortunately small Fortunately small yield from yield from decays.decays.
After After L0xL1L0xL1 trigger & off-line trigger & off-line cutscuts
bb inclusive:bb inclusive: 00 event event in mass window in mass window GeV/cGeV/c22
from from ~ ~ 10.3 M10.3 M events ( events ( ~ ~ 4 min4 min LHCbLHCb))
ss
ssassumingassumingBrBrBrBr
ss
17
s s after trigger and off-line cutsafter trigger and off-line cuts
Efficiency [%]Efficiency [%] NNyearyear reconstrreconstr
. & . & accept.accept.
selectiselection on
triggetriggerr
totaltotal
4.34.3 1515 3434 0.20.222
9.4 K9.4 K
BACKGROUND / SIGNALBACKGROUND / SIGNAL < 2.4 < 2.4 90 % CL90 % CL
limited by MC statistics, expected to be limited by MC statistics, expected to be betterbetter
Assuming:Assuming:
Br Br ss
= ( 4.3 = ( 4.3 0.4 ) 0.4 ) × × 1010-5-5
f f b b SS= 0.10= 0.10
MeV/cMeV/c22
~ 87 hours LHCb~ 87 hours LHCb
18
Search forSearch formixing induced CP mixing induced CP inin
SS
simplesimplevertex fitvertex fitfsfs
fsfs
““direction”direction”vertex fitvertex fitfs fs fs fs
S S proper time proper time
resolutionresolutionMain problem:Main problem:Proper time resolution is Proper time resolution is critical:critical: dominated by dominated by poor poor vertex resolutionvertex resolution kaons kaons are almost collinear are almost collinear no extrano extrainformation on information on
s s
vertex fromvertex from
Improvement can be Improvement can be achieved:achieved: Constrain the Constrain the
ss flight direction flight direction to to
ss momentum: ( momentum: (“direction” “direction” vertex fitvertex fit) ) Improve vertex resolution Improve vertex resolution by factor by factor >> 2.52.5
Select kinematical region with Select kinematical region with the better vertex (proper time) the better vertex (proper time) resolution: (resolution: (slow slow larger larger opening angle)opening angle)
19
sslifetime resolutionlifetime resolution
cuts re-optimizationcuts re-optimization for CP violation studyfor CP violation study
Achieved lifetime resolution isAchieved lifetime resolution is closeclose
to those forto those for charged modes charged modes..Estimation ofEstimation of CP violation CP violation
sensitivities sensitivities is in progressis in progress
Require:Require: cos cos , ,
EETT GeVGeV, , tighter tighter
cutcutNo cut No cut E*E*TT
SS
pro
per
tim
e r
esolu
tion
, p
rop
er
tim
e r
esolu
tion
, p
sp
s
cos cos
SSproper time proper time
resolution, psresolution, ps
Decay angle Decay angle (between(betweenmomentummomentumin rest frame ofin rest frame of
ss and and ss flight direction) is convenient variable to select flight direction) is convenient variable to select
the kinematical region that provides the betterthe kinematical region that provides the betterproper proper time resolutiontime resolution
fsfs
fsfs
20
ConclusionConclusion
record statistical sensitivity in direct CP violation(ACP )< 0.01 for one year LHCb. Stringent test of SM
extensions! systematic errors to be studied carefully
S S
precise measurement of the branching fraction with ~2% accuracy for one year LHCb For indirect CP violation
S proper time resolution is critical advanced fit vertex procedure and dedicated cut optimization allow
to hope on reasonable sensitivity Others channels of interest
|Vtd/Vts| direct CP
violation
s mixing-induced CP violation
why not under study