Flavour Tagging and GLoBal event cuts
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Transcript Flavour Tagging and GLoBal event cuts
1
DISCRETE '08
Symposium on Prospects in the Physics
of Discrete Symmetries
11–16 December 2008, IFIC, Valencia,
Spain
Flavour Tagging
performance in LHCb
Marc Grabalosa Gándara (14/12/08)
on behalf of the LHCb collaboration
Motivation
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LHCb is a 2nd generation
precision experiment coming
after
B-Factories
and
Tevatron
Improve precision on g and
other CKM parameters
Many measurments require
the knowledge of the initial
flavour of the B meson
Unitarity Triangles
Bd0 p+ pBd0 r p
Bd0 DK*0
BS0 DSK
Bd0 D* p, 3p
BS0 DS p
Bd0 J/y KS0
BS0 J/y f
Importance of tagging
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Bs oscillation frequency, phase and ΔΓs ( BsDsp, J/ΨΦ, J/Ψη, ηcΦ )
Measure the CKM parameters
from Bdp0p–p+
with BdJ/yKS as a proof of principle ( from bs penguin )
in various channels, with different sensitivity to new physics:
Time-dependent CP asymmetry of BsDs-K+ and Ds+K Time dependent CP asymmetries of Bd π+ π- and Bs K+K Comparison of decay rates in the BdD0(K+π-,K-π+,K+K-)K*0 system
Comparison of decay rates in the B-D0(K+π-,K+π-π+π-)K- system
Dalitz analysis of B- D0(KSπ-π+)K- and Bd D0(KSπ-π+)K*0
Rare B decays
Radiative penguin Bd K* , Bs Φ, Bd
Electroweak penguin Bd K*0 + Gluonic penguin Bs ΦΦ, Bd ΦKs
Rare box diagram Bs +Bc , b-baryon physics + unexpected !
LHCb Overview
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B flight path of the order 5-10mm
Requirements for CP measurements in
B the sector are
Good particle Id,
excellent tracking and vertexing
Tracking:
δp/p= 0.35% to 0.55%
Vertexing:
~10μm transverse plane and ~60μm in z
Expected Impact parameter resolution
σIP =14μm + 35μm/pT
Calorimeter resolution:
σE/E = 1% + 10%√E (E in GeV)
RICH:
Particle identification, important to
distinguish between Kaon and pions.
Flavour Tagging
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K+ (p)
Signal B
Same Side
p
Opposite Side
p
Opposite B
Kl-
Qvrtx
Tagging efficiency
ε tag =
Wrong tag fraction
ω=
Effective efficiency
N R + NW
N R + NW + NU
NW
N R + NW
ε
ε
1
2
ω
)2
e
ff =
ta
g(
If several candidates for the same
tagger exist Select the one with
highest Pt.
Taggers make individual
decisions about the flavour
with varying accuracy, which
is evaluated by a NNet.
Opposite-side tagger (OS)
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Tagging objects from b → c → s chain.
pT of m’s:
Kinematic and geometrical variables
(IPS, P, Pt,...) show a dependence in
purity of right vs wrong tags CUTS
IP of K’s:
OS Vertex Charge tagger
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Use long tracks to build a 2-seed vertex after some kinematic cuts
Use a NN to select good candidate (2-seed) to SV
All vtx
Good vtx
SV
Other tracks are added iteratively
Weighted charge can be used as a tagger
Typical performance: e = 43% = 42% eeff = 1.14%
All trakcs
Tracks coming from b
Same-side tagger (SS)
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Hadron from fragmentation (K )
or B** decay ()
• Particle selection cuts
• Proximity to signal b
Typical performance: e = 25.5% = 35.6%
eeff = 2.13%
K from fragmentation
Other sources
Wrong tagging
Bs → Ds K
from B*
from fragmentation
Other sources
Wrong tagging
B0 → + -
Taggers
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The tag (b or bbar) is decided by the charge of the tagging object
Combine the taggers to obtain a final decision of the tag
Sort in 5 categories depending on the probability of the tag to be
correct
Neural Net
• Obtain a wrong tag fraction ()
for each event from the NN
output
• Has a higher efficency
Combine Particle IDentification
(PID)
• Sort events based on the PID of
the track ordering them in
• NN independent. Simple method
• Has a lower efficency
Each method will give a tag and a category
(related with the reliability)
Neural Net method
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For each event, each tagger will give an as a function of the NN
output.
The wrong tag fraction is fit linearly on the Neural Net output.
Opposite kaon
Bs J/
right
wrong
tagger(K) (NNet) = a0 + a1 NNet
Combination of taggers
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Each tagger will have its own tagger (NNet).
The final probability for the event will be a combination of the tagger wrong tag
fractions:
Cat 5
Cat 4
P(B) = 1 - P(B)
Cat 3
P-1 = k (1- e) …
Cat 2
+1
P(B) = P
Cat 1
P+1 = (1-k) e …
P
+1
+ P -1
If P(B) < 0.55 events
is left untagged
To calculate the final combined
effective efficiency, we bin the
events in 5 categories (and treat
them separately in the CP fits).
P(B)
PID based combination of taggers
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Form possible combinations according:
• Particle Identification (PID)
Muons, electrons , kaons, kaons
or pions SS , vertex charge
Untagged
= 43.0%
Smaller
• Sum of the individual tagger
decisions (sum of charges)
abs(sum) > 1
Cat 1
Cat 2
Bin events in 5 categories
Cat 3
Cat 4
Sort all possible combinations, including the
case when abs(sum)>1, according to the
estimated on a control channel (62 possible
combinations, but only 41 non empty)
Cat 5
= 32.3%
PID combination
Results, ex. Bs J/
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Performance of taggers:
εtag
muons
electrons
kaons
SS kaons
vtx charge
6,15 ± 0,08
2,78 ± 0,05
15,33 ± 0,12
25,56 ± 0,14
32,79 ± 015
32,5 ± 0,6
29,9 ± 0,9
34,4 ± 0,4
35,6 ±0,3
40,8 ± 0,3
εeff
0,76 ± 0,05
0,45 ± 0,04
1,49 ± 0,07
2,13 ± 0,09
1,11 ± 0,07
Combine all taggers to obtain the global effective efficency, which is
the direct sum of εeff in the 5 tagging categories.
εtag
Using Nnet
PID combination
εeff
53,96 ± 0,16 33,13 ± 0,21 6,14 ± 0,14
56,65 ± 0,17 35,33 ± 0,22 4,89 ± 0,14
NNet εeff increases by ~20%
Performances for a few channels
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eeff %
e%
%
8.85 ± 0.18
60.7
30.9
Bd→ J/ψ K* 4.29 ± 0.09
53.2
35.8
5.52 ± 0.16
56.8
34.4
Bu→ J/ψ K+ 4.11 ± 0.11
53.1
36.1
Bs→ Dsp
Bd→ pp
Differences can be due to different signal B spectra, trigger…
Control channels
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Accumulate high statistics in various flavour-specific modes
can be extracted by:
B±: just comparing tagging with observed flavour
Bd and Bs need fit of oscillation
Channel
Yield/2 fb-1
B/S
d / ( 2fb-1 )
estimate
B+J/y(mm)K+
1.7 M
0.4
0.15%
B+D0p+
0.7 M
0.8
0.25%
B0J/y(mm)K*0(K+-)
0.7 M
0.2
0.2%
Bs Ds+ p-
0.08 M
0.3
0.7%
Bd0 D* - m+ n
9M
0.4
0.05%
B+ D0 (*) m + n
3.5 M
0.6
0.1%
Bs Ds(*) m + n
2M
0.1
0. 5%
Taggers can be calibrated using these control channels.
Topology close
to that of signal
channels
Semileptonics:
• High statistics
• More difficult
topology
Use of control channels
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B+ J/ K+ is a flavour specific channel
No true MC information needed
The obtained in a given tagger for B+ J/ K+ can be used the same
taggers in other channels
B+ J/ K+
Opposite kaon
right
wrong
Bd J/ Ks
right
wrong
tagger(K) (NNet)=a0 + a1 NNet
Control channels will allow to measure directly from data, with the
statistical accuracy required for physics measurements
Mistag extraction for
0
B
→ J/ Ks
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One of the first measurements requiring flavour tagging of the B will be
sin 2 from B0J/ymmKS as a benchmark to demonstrate LHCb
capability in CP-asymmetry measurements
For the evaluation of the mistag rate, the following strategy, using B+J/ymmK+
and B0J/ymmK*0 as control channels, is foreseen:
•
With B+J/ymmK+ events determine for each tagger the dependence of the
mistag rate on the kinematical properties of the tagger.
Combine these probabilities into a single probability per event.
•
Use this function to subdivide B0J/ymmK*0 and B0J/ymmKS events into
5 samples of decreasing mistag-rate (tag categories).
•
Fit to flavour oscillations of B0J/ymmK*0 events, as a function of propertime,
in each of the 5 samples, to measure the mistag rate per category. Use these 5
mistag rates in the CP fit of B0J/ymmKS events, also subdivided into 5
categories.
Fit to flavour oscillations of B0 J/ K*0
in 5 categories
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Cat 5
Cat 4
Only signal events
considered here
Cat 3
Cat 2
Cat 1
Control channel check
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from MC truth from propertime fit
Results from propertime fit are compatible to MC truth.
In one year, 2/fb, with 215k events, s(sin2)~0.02
Background on control channels
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Control channels will be used with data events, where full account of
background has to be taken.
We have devised the strategies to cope with it.
For Bd+ J/ K*
Conclusions
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Flavour tagging is a fundamental ingredient for
B physics measurements in LHCb.
Control channels will allow to measure directly
from data, with the required statistical accuracy,
taking into account many possible effects
(backgrounds, trigger, etc.)
Expected effective tagging efficiency at LHCb is
~ 6 – 9 % for Bs and ~ 4 – 5 % for Bd,u channels