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EW interaction of the top quark is sensitive to many types of new physics. the only known way to directly measure CKM matrix element Vtb an important background to many searches for new physics & & ^+ld+f33<3=The main backgrounds&ttbar events ttbar l+jets mode ttbar2l+jets mode (with one lepton lost) W/Z + jets di-boson ( like: WWlvjj ) QCD background ( like: ppbbbar)  ?G fffff$ffffffv<X<[? XStep0: Triggers , Passed e25i or e60 or mu20i Step1: One high Pt lepton at least, with electron pt larger than 25GeV/c muon 20GeV/c Step2: Veto of any 2nd lepton with pt larger than 10GeV/c R>0.4 Step3: at least 2 high pt jets, pt larger than 30GeV/c Step4: Veto on the 5th jet with pT(jet)>15GeV/c Step5: At least 1 btagged high pt jet above 30GeV/c  less than 2.5 Step6: Missing Energy no less than 20GeVoZ&ZZ(a<2+>#\N\@Y=The s-ch cut analysis results"33Processes muon channel electron channel nEvt to L= 1 fb-1 s-channel 2.470.12% 1.490.10% 46 s-ch ()l 0.710.16% 0.640.15% t-channel 0.220.04% 0.140.03% 84 t-chan ()l 0.040.04% 0.000.00% W+t channel 0.100.03% 0.080.03% 11 W+t chan ()l 0.000.00% 0.000.00% ttl+jets 0.090.01% 0.080.01% 223 tt()l+j 0.040.01% 0.020.01% tte + e 0.340.05% tt+ 0.480.06% 150 tt+ e 0.330.04% tt+ 0.690.05% tt e + 0.540.05% 273 tt+ 0.240.04% CP !O F" 4 G3 E  .     I     $$((5((((((C((((((,,T00000044444488W888888<<S 0+_6M1 I5GT\S   Step1: two b-tagged jets with pT>30GeV/c Step2: Veto on any 3rd Jet with pT>15GeV/c --------------------------------------------------------------------------- Using MVA Events selected by steps above the line will be used as MVA input~B#%L! fA,) MultiVariate data Analysis & vMethods in MVA Rectangular cut optimisation Likelihood estimator (PDE approach) Multidimensional likelihood estimator (PDE Range Search approach) Fisher discriminant HMatrix approach (c2 estimator) Multilayer Perceptron Artificial Neural Network (three different implementations) Boosted Decision Trees RuleFit & vZ,ZZ333333     $   S     00No Single Best@  ,>MVA methods output variables ( take Likelihood as an example )"?"five main background processes ttbarlepton+jet, ttbardilepton, ttbar+lepton, W+jets, t"channel \ 3%b$ 3<&Cut value for each method:MVA method to suppress the Bkg: tt->l+jets,tt->l+l,tt->l+tau,W+jets,t-ch --- Factory : ----------------------------- --- Factory : Method: Cut value:Cut value:Cut value:Cut value:Cut value: --- Factory : --------------------------------------------------------------------- --- Factory : Likelihood: +0.538 +0.523 +0.525 +0.539 +0.525 --- Factory : LikelihoodD: +0.004 +0.223 +0.214 +0.019 +0.188 --- Factory : LikelihoodPCA: +0.592 +0.525 +0.519 +0.600 +0.576 --- Factory : HMatrix: -0.184 -0.138 -0.153 -0.183 -0.174 --- Factory : Fisher: +0.051 +0.039 +0.056 +0.057 +0.064 --- Factory : MLP: -0.242 -0.135 -0.194 -0.001 -0.179 --- Factory : CFMlpANN: +0.392 +0.379 +0.395 +0.398 +0.380 --- Factory : TMlpANN: +0.203 +0.355 +0.337 +0.214 +0.546 --- Factory : BDT: -0.069 -0.115 -0.131 -0.081 -0.093 --- Factory : BDTD: -0.141 -0.131 -0.072 -0.120 -0.105 --- Factory : RuleFit: -0.197 -0.221 -0.217 -0.187 -0.227 --- Factory : --------------------------------------------------------------------- --- Factory : which correspond to the working point: eff(signal) = 1 - eff(background)KP]P3)<GDC@JGJACJHJG&"33: Y     H K L E.F/?(B+T:='Combine two or more MVA methods --- Factory : Inter-MVA overlap matrix (signal): --- Factory : -------------------------------------------------------------------------------------------------------------------- --- Factory : Likelihood LikelihoodD LikePCA HMatrix Fisher MLP CFMlpANN TMlpANN BDT BDTD RuleFit --- Factory : Likelihood: +1.000 +0.798 +0.801 +0.763 +0.746 +0.740 +0.775 +0.771 +0.754 +0.739 +0.756 --- Factory : LikelihoodD: +0.798 +1.000 +0.862 +0.858 +0.813 +0.791 +0.719 +0.806 +0.755 +0.788 +0.763 --- Factory : LikelihoodPCA:+0.801 +0.862 +1.000 +0.882 +0.836 +0.815 +0.730 +0.817 +0.778 +0.798 +0.778 --- Factory : HMatrix: +0.763 +0.858 +0.882 +1.000 +0.887 +0.854 +0.700 +0.866 +0.820 +0.845 +0.820 --- Factory : Fisher: +0.746 +0.813 +0.836 +0.887 +1.000 +0.867 +0.699 +0.882 +0.829 +0.863 +0.818 --- Factory : MLP: +0.740 +0.791 +0.815 +0.854 +0.867 +1.000 +0.647 +0.899 +0.873 +0.900 +0.853 --- Factory : CFMlpANN: +0.775 +0.719 +0.730 +0.700 +0.699 +0.647 +1.000 +0.680 +0.649 +0.634 +0.643 --- Factory : TMlpANN: +0.771 +0.806 +0.817 +0.866 +0.882 +0.899 +0.680 +1.000 +0.873 +0.882 +0.846 --- Factory : BDT: +0.754 +0.755 +0.778 +0.820 +0.829 +0.873 +0.649 +0.873 +1.000 +0.872 +0.859 --- Factory : BDTD: +0.739 +0.788 +0.798 +0.845 +0.863 +0.900 +0.634 +0.882 +0.872 +1.000 +0.845 --- Factory : RuleFit: +0.756 +0.763 +0.778 +0.820 +0.818 +0.853 +0.643 +0.846 +0.859 +0.845 +1.000P    !   v   W     fi    ff   fc    fn    fp    fs    fh    fk    ft    fq    fo    wpG0SummaryIt is no doubt that top quark analysis can lead us to some new physics MVA methods can positively improve the cut efficiency in our analysis Now that real data is in the air, we couldn t be too prepared u3J2Thank you ! !C B Z>  Backup slides0ffA  gB  hC yA decision tree is a series of cuts that split sample set into ever smaller sets, leafs are assigned either S or B statushzld3 G]/8Ki  0` Ot{h______` M <ff33̙3` +ffO=ff̙H7` fff3f̙` Tff33ff` 0Ky{kOz` )R{f` GiIfff̙fR` ̙|̙3f` 3ff~>?" dd@'?lFd@  nK'o`P( n?" dd@   @@``PT     o (`0p>> ''(  ZB  c $D"`   6xݓ "M }  T Click to edit Master title style! !$  0d "; `  RClick to edit Master text styles Second level Third level Fourth level Fifth level!     S  00 "` `  ^*    0 "`   \*   0 "` `  \* T     "`h2   s *"`h2   s *"h2   s *"@h2   s *"0`h2   s *"0h2  s *"0@h2  s *"`0h2  s *"`h2  s *"h2  s *"@h2  s *"`n2  0" h2  s *"``h2  s *"`h2  s *"@`n2  0"``h2  s *"`h2  s *"n2  0"@n2  0"`h2  s *" h2  s *"`@n2  0"@n2   0"@@h2 ! s *"`@n2 " 0"``n2 # 0"`h2 $ s *"`@h2 % s *"``h2 & s *" h2 ' s *"` H  0޽h ? 3ff~___PPT10i. s+D=' s= @B + Network ) 0 (((  ZB  c $D"   6 "&wf  T Click to edit Master title style! !  0` "wQ   W#Click to edit Master subtitle style$ $  0, "` `  ^*    0 "`   \*   0 "` `  \* T `]   "]p h2   s *"`]h2   s *"]h2   s *"]Eh2   s *"`h2   s *"h2  s *"Eh2  s *"yh2  s *"`B h2  s *"B h2  s *"EB h2  s *"yB n2  0",B h2  s *"`u  h2  s *"u  h2  s *"u E n2  0"yu  h2  s *"`(  h2  s *"(  n2  0"( E n2  0"y(  h2  s *",(  h2  s *"` Z n2  0" Z n2   0" EZ h2 ! s *"y Z n2 " 0"`  n2 # 0"  h2 $ s *" E h2 % s *"y  h2 & s *"A  h2 ' s *"yA  `B ( s *D"H  0޽h ? 3ff~___PPT10i. s+D=' s= @B +") 0 P2(    0i P   i Z*   0"i    i \* d  c $ ?  i  0Жi  0 i RClick to edit Master text styles Second level Third level Fourth level Fifth level!     S  6ti _P  i Z*   6i _  i \* H  0޽h ? 3380___PPT10.yw p(    0j P   j Z*   0 j    j \*   60j _P  j Z*   6j _  j \* H  0޽h ? 3380___PPT10.zF* 0L0  0(  x  c $&f  x  c $wQ   H  0޽h ? 33___PPT10i.)/+D=' s= @B + ) 0L0 0 0(   x  c $ !O?}  O x  c $!OT  O H  0޽h ? 33___PPT10i.0U+D=' s= @B +r ) 0 ` r(    S .O'g O "8G  045O J Introduction" 0(2  H  0޽h ? 3ff~80___PPT10.Ѧgp) 0L0 P (  rF  /9  / 9r  F|LO?Text Box 6) 9 HFigue1. (a) t-channel (b) W+t channel (c) s-channel q2 d" 0, q2 = M2W, q2 e" (mt + mb)2. Where q is the four momentum of W bosonj 2633E33EMEMEMM EMEMEMEMEE33E!E33    RA??Picture 7 / ZB  s *DG    0QO k  Ntime 2E    0$Od  8three different single top mechanisms in Standard Model:9933 9H  0޽h ? fp=___PPT10i.>9,+D=' s= @B + ) 0L0 @-(  x  c $ԓO 9}  O x  c $LO; `V  O   0O I  EFor the lack of MC data, we are only using ttbar background till now!"F 2F FH  0޽h ? 33___PPT10i.\b+D=' s= @B +x) 0  x(  b  0  Zprocess: t-channel s-channel Wt channel ttbar (pb): 245 27 10.2 0.7 51 9 835 Decay mode and probability: tWb ~100% Wl v ~2/9 ( l = electron or muon) Wv ~1/9 ( decays into muon 17.8%, electron 17.2%) Wjj ~6/9 4.GC9GGC8G3GGG33 333+3: =8X  0\<7 v(Process cross section and decay mode (1) )0 2) )H  0޽h ? 3ff~80___PPT10.ԦЈ]c) 0   c(   2   0ȯF qp@ $Final state of ttbar events: ttbar: ppttbar W+ b W- b l v b j j b l+ v l- vbb +  - v v b b v b j j b "0 2 g 33333E33333332333333333RA 8X   0(zVH@8___PPT9 t-channel: ppWgtbqWbbql v b bq Wt channel: pptW WWb j j l v b S-channel: ppW*tbWbb l v b b5 3 "3 38X   0 F .Final state of the three single top channels :*/0..   0 v(Process cross section and decay mode (2) )0 2) )   0c 9 2 or 3 jets, 1 or 2 b jet, 1 lepton, with missing energy$: 2: :   0@|  %Final state of the signal s-channel :*&0%%   0 '`  y'2 b jets, 1 lepton, with missing energy$( 2( (   0<6 o Preslection cuts0 2ff    0d   w s-channel selection cuts0 2ff H   0޽h ? 3ff~80___PPT10.o ) 0L0 `](  x  c $L      0]z D a'Selection for three single top channels(0 2(  0Йq/'N [ |Preselection cuts:20lFZ33H  0޽h ? 33___PPT10i.I+D=' s= @B +) 0 _W $(  $ $ 6Tq jT w%Strategy(1): s-channel selection cuts&& $ 0X   rtStep1: two b-tagged jets with pT>30GeV/c Step2: Veto on any 3rd Jet with pT>15GeV/c Step3: Total Ht (pT combined jets only): 80<Ht<220 GeV/c Step4: Seperation between 2 btagged jets: 0.5 <R(b1,b2) < 4.0 ; Step5: Sum of missing Et and pT of leptons: 60 <mEt+pT(e,u) < 130 GeV/c; (,/#%*:"; )  / H $ 0޽h ? 3ff~80___PPT10.h) 0 ph  (  ^  C 6A/total Pt-stack} ,Z  C 2A-pjetHt-stackZ    0(ZJz z DTotal Ht 0 2 3  097- a mEt+pT(e,u) 0 2 3 9  0F  Y Discriminant variables distributions corresponding to an integrated luminosity of 1 fb-1@Z 233V M   08C $  DWe may find out the separation of the variables is not that distinct"E 2E3RB   s *D<# # & RB   s *D`JRB   s *D`JRB   s *D<pp& H  0޽h ? 3ff~80___PPT10.k ) 0   8J(  8r 8 S w'   r 8 S <9k  2 8 04 dz hS/B = 46/741 = 6.2%, S/ " S+B = 1.64<50 2(3$3 3 5f 8 0"`CSS f  8 0"` S f  8 0"`F S RB  8 s *Dv f2  8 03"`9 7  8 0,? ~ r&Not good enough Search for improvement'0 2'f 'H 8 0޽h ? 3ff~___PPT10i.F+D=' s= @B + ) 0L0  $(   ~  s *09   5  0,')s #Strategy (2): MultiVariate Analysist$0 2  )  0 kMVA uses multi-variables as input and get an output which in the most of the cases obtain better separation l0 2l3dH  0޽h ? 33___PPT10i.޲q+D=' s= @B +} ) 0 $(  r  S \   r  S ds9   H  0޽h ? 3ff~___PPT10i. d+D=' s= @B + ) 0 -%pls(  ~  s *M }   ~  s *; `  y \ s #":. 1nmnnmnmn\b  3 r_ж_ж @g ?"6@`NNN?N\ zL"#   @@``b  3 r _ж_ж @g ?"6@`NNN?NH  zK"#   @@``b  3 rP_ж_ж  @g ?"6@`NNN?N H  zK"#   @@``b  3 r _ж_ж  @g ?"6@`NNN?N4   zK"#   @@``b   3 rT(_ж_ж31 @g ?"6@`NNN?N4  zK"#   @@``b   3 r1_ж_ж31 @g ?"6@`NNN?N0 zL"#   @@``b   3 rl;_ж_жfI @g ?"6@`NNN?N0 zJ"#   @@``b   3 rD_ж_жfI @g ?"6@`NNN?N zJ"#   @@``E   3 rTM_ж_ж @g ?"6@ `NNN?N1 ]SVM   @@``b  3 r 3 r_ж_ж  @g ?"6@`NNN?N: %H  zJ"#   @@``b ? 3 rL"_ж_ж  @g ?"6@`NNN?N: 4 %  zJ"#   @@``b @ 3 rx3_ж_ж31 @g ?"6@`NNN?N: %4  zJ"#   @@``b A 3 r`$_ж_ж31 @g ?"6@`NNN?N: 0% zJ"#   @@``b B 3 rF_ж_жfI @g ?"6@`NNN?N: %0 zL"#   @@``b C 3 rP_ж_жfI @g ?"6@ NNN?N: % zJ"#   @@``F D 3 rX_ж_ж @g ?"6@ `NNN?N: 1% ^Fisher  @@``b E 3 rxb_ж_ж  @g ?"6@`NNN?N H  zL"#   @@``b F 3 rk_ж_ж  @g ?"6@ NNN?N H  zJ"#   @@``F G 3 r u_ж_ж  @g ?"6@ NNN?N H  ^J"#  @@``N H 3 rPw_ж_ж  @g ?"6@ NNN?N H  fWeak input variables  @@``b I 3 r`_ж_ж @g ?"6@`NNN?N \ zK"#   @@``b J 3 r_ж_ж @g ?"6@`NNN?N\ zJ"#   @@``b K 3 rp_ж_ж @g ?"6@`NNN?N\ zJ"#   @@``b L 3 r4_ж_ж  @g ?"6@`NNN?N4  zK"#   @@``r M 3 r_ж_ж31 @g ?"6@`NNN?N 4  L/KJ  @@``b N 3 rH_ж_ж31 @g ?"6@`NNN?N0  zJ"#   @@``F O 3 r_ж_жfI @g ?"6@`NNN?N 0 ^J"#  @@``F P 3 r_ж_жfI @g ?"6@`NNN?N  ^J"#  @@``l Q 3 rt_ж_ж @g ?"6@ `NNN?N1   PDERS/ kNN    @@``S R 3 r_ж_ж  @g ?"6@ NNN?N4   k Overtraining $   @@``B S 3 r_ж_ж31 @g ?"6@`NNN?N4  ZResponse    @@``B T 3 r_ж_ж31 @g ?"6@`NNN?N0 ZTraining    @@``P U 3 r<_ж_жfI @g ?"6@`NNN?N0 hnonlinear correlations  @@``R V 3 r_ж_жfI @g ?"6@ NNN?N jno / linear correlations  @@``F W 3 rX _ж_ж  @g ?"6@ NNN?N4   ^J"#  @@``F X 3 r_ж_ж31 @g ?"6@`NNN?N4  ^J"#  @@``b Y 3 r _ж_ж31 @g ?"6@`NNN?N0 zL"#   @@``b Z 3 r*_ж_жfI @g ?"6@`NNN?N0 zK"#   @@``F [ 3 r3_ж_жfI @g ?"6@ NNN?N ^K"#  @@``D \ 3 r=_ж_ж @g ?"6@ `NNN?N1 \Cuts  @@``b ] 3 rF_ж_ж  @g ?"6@ NNN?N4   zK"#   @@``b ^ 3 rP_ж_ж31 @g ?"6@`NNN?N4  zJ"#   @@``b _ 3 rY_ж_ж31 @g ?"6@`NNN?N0 zJ"#   @@``b ` 3 rb_ж_жfI @g ?"6@`NNN?N0 zL"#   @@``b a 3 rXl_ж_жfI @g ?"6@ NNN?N zJ"#   @@``d b 3 ru_ж_ж @g ?"6@ `NNN?N1 | Likelihood     @@``B c  `_ж_ж1 ?"0@NNN?N\B d  `_ж_ж1 ?"0@NNN?N\B e H1 ?"0@NNN?NB f H1 ?"0@NNN?N\B g  `_ж_ж1 ?"0@NNN?NB h Z_ж_ж1 ?"0@NNN?N\ \B i  `_ж_ж1 ?"0@NNN?N\\B j  `_ж_ж1 ?"0@NNN?N \\B k Z_ж_ж1 ?"0@NNN?N11B l Z_ж_ж1 ?"0@NNN?NH H  0޽h ? 33___PPT10i.Uࡁ`+D=' s= @B +E ) 0L0 D <  #( (  (a ( Th 1?"6@ NNN?Nz}a ACombine probability density distributions to likelihood estimator B0 )))2B$ B  ( N_ж_ж? -Projected Likelihood Estimator (PDE Approach)&.0 .G3 . n ( Tԓ 1?"6@ NNN?N G  $Assumes uncorrelated input variables0% f2$DB&    8 t (t ( # lA ?g ))?"6?@`NNN?Nt  ( B?"` lReference PDF s`B ( 0DoH8 G6 !  !(6 G!  (2  `A ?AA ?G6    D ( 66 !  Zis an output of Likelihood for every single event, 1 (signal like) , 0 ( background like)N[0 27  [ "( 3 BCDEFA>[5.[@  "` #( 0T  hOutput is a likelihood ratio0 2f H ( 0޽h ? 33___PPT10i.++D=' s= @B + ) 0 `H^(  Hr H S TA6   r H S Bq     H 0dC   XEvery event has such five MVA output value , and then we shall apply proper cuts on them&Y Z2Y! Y H 00J?  " define likelihood functions specific to suppress each background: yttbar/lepton+jets, yttbar/dilepton, yttbar/+lepton, yW+jets, yt"channelLD lFN lFB3o ,qH H 0޽h ? 3ff~___PPT10i.q+D=' s= @B +) 0  \(  \X \ 0A?MR \ 0xi 8Note: each yLh(i ) use some of the variables as input90 2 3GG 3#3 9 \ 0w"`MGW  DVariables yttbar/lepton+jets, yttbar/dilepton, yttbar/+lepton,yW+jets, yt"channelLZ lF fo "=H \ 0޽h ? 3ff~___PPT10i. e1+D=' s= @B + ) 0 H(  r  S      B }   H  0޽h ? 3ff~___PPT10i.fp5qi+D=' s= @B +) 0  (  z  C RA):5200ljetsBkg-TMplANN-noStackM/ x  C PA*85200llepBkg-TMplANN-noStackM@  ^B  6D   0t TCut here 0 2  ^B  6D]    0PIT0 DSignal events tend to be more likely in the right side of the figureE0 2E33 E   0 {+Cut on no stack histgrams of TMlpANN method",0(2,3 ,H  0޽h ? 3ff~___PPT10i.m@gg+D=' s= @B +) 0  (  b  C :A+"5200ljetsBkg-BDTwtv_`  C 8A, 5200llepBkg-BDTtp  04Ow 7 "s-ch Vs ttl+jets>0 2    0 S]  "s-ch Vs ttdi-lep>0 2  ^B  6D^B   6D jj   0dSV" r&Cut on stacked histgrams of BDT method'0 2'33 'H  0޽h ? 3ff~___PPT10i.sD9+D=' s= @B +6___PPT9 1.64 4(" d   @@`` U BP?vl +  R o(M T B?l v+ F>6___PPT9 1.75 4(" d   @@``M S B?]l + F>6___PPT9 2.21 4(" d   @@``M R BH? l ]+ F>6___PPT9 1.99 4(" d   @@``M Q BE? l + F>6___PPT9 1.99 4(" d   @@``M P B?gl  + F>6___PPT9 1.87 4(" d   @@``Y O B]?l g+ F>6___PPT9  S/sqrt(S+B): " d    @@``L N B]? l F>6___PPT9 6.2%4(" d   @@`` M B ]?v l  R o(L L B#]? vl F>6___PPT9 9.4%4(" d   @@``M K B-]?] l F>6___PPT9 13.4%4(" d   @@``M J B8]? ]l F>6___PPT9 11.2%4(" d   @@``M I B9]? l F>6___PPT9 11.0%4(" d   @@``L H B$M]?g  l F>6___PPT9 8.5%4(" d   @@``Q G BO]? gl F>6___PPT9 S/B: " d   @@``L F B(a]?  F>6___PPT9 741 4(" d   @@`` E Bk]?v   R o(N D Btt]? v F>6___PPT9 381.0 4(" d   @@``N C B4]?]  F>6___PPT9 307.9 4(" d   @@``N B B]? ] F>6___PPT9 351.7 4(" d   @@``N A B]? F>6___PPT9 364.5 4(" d   @@``N @ B$]?g  F>6___PPT9 526.6 4(" d   @@``U ? B]? g F>6___PPT9 all BKG: " d   @@``L > B]?/  F>6___PPT9 273 4(" d   @@`` = Bl]?v/   R o(N < B]?/ v F>6___PPT9 129.5 4(" d   @@``N ; B]?]/  F>6___PPT9 119.3 4(" d   @@``N : B]? / ] F>6___PPT9 135.7 4(" d   @@``N 9 Bl]? / F>6___PPT9 141.2 4(" d   @@``N 8 B]?g/  F>6___PPT9 198.1 4(" d   @@``X 7 B]?/ g F>6___PPT9  tt-->l+tau: " d    @@``L 6 B^?p/ F>6___PPT9 150 4(" d   @@`` 5 B ^?vp/  R o(M 4 B0^?pv/ F>6___PPT9 62.4 4(" d   @@``M 3 BL^?]p/ F>6___PPT9 55.4 4(" d   @@``M 2 B -^? p]/ F>6___PPT9 67.9 4(" d   @@``M 1 B6^? p / F>6___PPT9 67.1 4(" d   @@``M 0 BB^?gp / F>6___PPT9 92.0 4(" d   @@``Y / BLC^?pg/ F>6___PPT9  tt-->di-lep: " d    @@``L . B4E^?pF>6___PPT9 223 4(" d   @@`` - B`^?vp R o(N , Bj^?vpF>6___PPT9 137.3 4(" d   @@``M + Bl^?]pF>6___PPT9 93.6 4(" d   @@``N * B|o^? ]pF>6___PPT9 112.3 4(" d   @@``N ) By^?  pF>6___PPT9 114.7 4(" d   @@``N ( B^?g pF>6___PPT9 174.7 4(" d   @@``Y ' B^?gpF>6___PPT9  tt-->l+jets: " d    @@``K & B,8^?F>6___PPT9 11 4(" d   @@`` % B^?v R o(M $ B\^?vF>6___PPT9 10.5 4(" d   @@``L # Bh^?]F>6___PPT9 9.4 4(" d   @@``L " B^? ]F>6___PPT9 7.2 4(" d   @@``L ! B^?  F>6___PPT9 5.0 4(" d   @@``L   B^?g F>6___PPT9 9.4 4(" d   @@``Y  B^?gF>6___PPT9  W+t channel: " d    @@``K  BX^?3F>6___PPT9 84 4(" d   @@``  B`?v3 R o(M  B8^?3vF>6___PPT9 41.3 4(" d   @@``M  B`?]3F>6___PPT9 30.2 4(" d   @@``M  B `? 3]F>6___PPT9 28.6 4(" d   @@``M  B"`? 3 F>6___PPT9 36.5 4(" d   @@``M  B@5`?g3 F>6___PPT9 52.4 4(" d   @@``W  B?`?3gF>6___PPT9  t-channel: " d    @@``K  BI`?t3F>6___PPT9 46 4(" d   @@``  BU`?vt3 R o(M  B$N`?tv3F>6___PPT9 35.8 4(" d   @@``M  BN`?]t3F>6___PPT9 41.2 4(" d   @@``M  Br`? t]3F>6___PPT9 39.4 4(" d   @@``M  B}`? t 3F>6___PPT9 40.1 4(" d   @@``M  B`?gt 3F>6___PPT9 44.7 4(" d   @@``W  Bn`?tg3F>6___PPT9  s-channel: " d    @@``U  B`?/tF>6___PPT9 sch-cut: " d   @@``   B`?v/t V o(V   BX`?/vtF>6___PPT9 Fisher<(" d   @@``W   BP`?]/tF>6___PPT9 HMatrix<(" d   @@``]   B`? /]tF>6___PPT9  LikelihoodPCA<(" d    @@``[   B`? / tF>6___PPT9  LikelihoodD< (" d    @@``Z  B`?g/ tF>6___PPT9  Likelihood< (" d    @@``a  B`?/gtF>6___PPT9 channel\classifiers: " d   @@```B W 01 ?//ZB m s *1 ?ttZB w s *1 ?33ZB  s *1 ?  ZB  s *1 ?  ZB  s *1 ?l l `B X 01 ?+ + `B   01 ?/+ `B Z 01 ?/+ `B ' 01 ?g/g+ `B Y 01 ?/+  > 0`< } \ hMVA output cut results (1) 0 2  ? 0 ` 9  *Number of events are normalized to L=1fb-1,+0 2(f f +l2 @ 6jJ"`c :9 l2 A 633jJ"` )  B 0` i y!see:MVA do bring some improvement*"0 23 "H  0޽h ? 3ff~___PPT10i.|0&+D=' s= @B +{) 0 zz@k_z(  w 'w[   #":. 'w[ M  Bxa?d w[ F>6___PPT9 1.64 4(" d   @@``   Ba? d[  R o(M   B<.a? [ F>6___PPT9 1.94 4(" d   @@``M   B8a? [ F>6___PPT9 2.91 4(" d   @@``M   BBa? [ F>6___PPT9 0.47 4(" d   @@``M   B:a? [ F>6___PPT9 2.32 4(" d   @@``M  BDa?  [ F>6___PPT9 2.98 4(" d   @@``M  B4Ya?D [ F>6___PPT9 2.74 4(" d   @@``K  Bja?' D[ F>6___PPT9  S/sqrt(S+B), " d    @@``L  B6___PPT9 6.2%4(" d   @@``  Bxa? d  R o(M  B`a?  F>6___PPT9 12.1%4(" d   @@``M  Ba?  F>6___PPT9 26.8%4(" d   @@``L  B`a? F>6___PPT9 6.3%4(" d   @@``M  Ba? F>6___PPT9 17.6%4(" d   @@``M  Ba?  F>6___PPT9 23.9%4(" d   @@``M  Ba?D  F>6___PPT9 17.5%4(" d   @@``C  Ba?' D F>6___PPT9 {S/B, " d   @@``L  BLa?d w F>6___PPT9 741 4(" d   @@``  Ba? d  R o(N  Ba?  F>6___PPT9 290.3 4(" d   @@``N  Ba?   F>6___PPT9 149.0 4(" d   @@``M  BXa?  F>6___PPT9 58.4 4(" d   @@``N  Bb?  F>6___PPT9 205.0 4(" d   @@``N  Ba?  F>6___PPT9 192.5 4(" d   @@``N  Bxb?D  F>6___PPT9 287.6 4(" d   @@``G  Bb?' D F>6___PPT9 all BKG, " d   @@``L  Bb?d_ w F>6___PPT9 273 4(" d   @@``  B "b?_ d  R o(M  B$=b?_  F>6___PPT9 97.5 4(" d   @@``M  Bb? _  F>6___PPT9 60.1 4(" d   @@``M  BQb? _  F>6___PPT9 23.4 4(" d   @@``M  Bh\b? _  F>6___PPT9 74.1 4(" d   @@``M  B5b? _  F>6___PPT9 75.7 4(" d   @@``N  Bpb?D_  F>6___PPT9 104.5 4(" d   @@``J  Brb?'_ D F>6___PPT9  tt-->l+tau, " d    @@``L  Bb?dw_ F>6___PPT9 150 4(" d   @@``  B@b?d_  R o(M  BXb?_ F>6___PPT9 48.4 4(" d   @@``M  BЙb? _ F>6___PPT9 23.4 4(" d   @@``L  Bb?  _ F>6___PPT9 5.5 4(" d   @@``M  Bb?  _ F>6___PPT9 35.1 4(" d   @@``M  Bb?  _ F>6___PPT9 29.6 4(" d   @@``M  Bb?D _ F>6___PPT9 48.4 4(" d   @@``K  Bpb?'D_ F>6___PPT9  tt-->di-lep, " d    @@``L  Bb?dwF>6___PPT9 223 4(" d   @@``  BXb?d R o(N ߢ B b?F>6___PPT9 104.5 4(" d   @@``M ޢ BXb? F>6___PPT9 45.2 4(" d   @@``M ݢ Bc?  F>6___PPT9 15.6 4(" d   @@``M ܢ Bc?  F>6___PPT9 70.2 4(" d   @@``M ۢ B c?  F>6___PPT9 64.7 4(" d   @@``M ڢ B$c?D F>6___PPT9 88.9 4(" d   @@``K ٢ BT/c?'DF>6___PPT9  tt-->l+jets, " d    @@``K آ BL9c?d"wF>6___PPT9 11 4(" d   @@`` ע BP(c?"d R o(L ֢ BKc?"F>6___PPT9 8.2 4(" d   @@``L բ BLc? "F>6___PPT9 3.3 4(" d   @@``L Ԣ B_c? " F>6___PPT9 4.4 4(" d   @@``L Ӣ B,jc? " F>6___PPT9 6.6 4(" d   @@``L Ң Btc? " F>6___PPT9 6.6 4(" d   @@``L Ѣ B~c?D" F>6___PPT9 6.1 4(" d   @@``K Т Blc?'"DF>6___PPT9  W+t channel, " d    @@``K Ϣ Bc?dcw"F>6___PPT9 84 4(" d   @@`` ΢ Bc?cd" R o(M ͢ BЦc?c"F>6___PPT9 31.7 4(" d   @@``M ̢ B c? c"F>6___PPT9 17.0 4(" d   @@``L ˢ BTc? c "F>6___PPT9 9.5 4(" d   @@``M ʢ Bc? c "F>6___PPT9 19.0 4(" d   @@``M ɢ B|c? c "F>6___PPT9 15.9 4(" d   @@``M Ȣ Bc?Dc "F>6___PPT9 39.7 4(" d   @@``I Ǣ Bc?'cD"F>6___PPT9  t-channel, " d    @@``K Ƣ B@c?dwcF>6___PPT9 46 4(" d   @@`` Ţ BTc?dc R o(M Ģ Bd?cF>6___PPT9 35.0 4(" d   @@``M â Bd? cF>6___PPT9 40.0 4(" d   @@``L ¢ Bd?  cF>6___PPT9 3.7 4(" d   @@``M  B d?  cF>6___PPT9 36.0 4(" d   @@``M  Btd?  cF>6___PPT9 46.0 4(" d   @@``M  B3d?D cF>6___PPT9 50.3 4(" d   @@``I  B|=d?'DcF>6___PPT9  s-channel, " d    @@``G  BFd?dwF>6___PPT9 sch-cut, " d   @@``  BPd?d Z o(I  B4Yd?F>6___PPT9 RuleFit.(" d   @@``I  Bbd? F>6___PPT9 TMlpANN.(" d   @@``J  Bld?  F>6___PPT9 CFMlpANN. (" d    @@``E  B\d?  F>6___PPT9 }MLP.(" d   @@``F  Bpd?  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F}F>6___PPT9 0.05%4(" d    @@``M  Be?* F F>6___PPT9 0.03%4(" d    @@``M  B4e?|F* F>6___PPT9 0.07%4(" d    @@``T  B|e?F|F>6___PPT9 W-tchan efficiency.(" d   @@``M  Be?FF>6___PPT9 0.16%4(" d    @@``M  Be?2FF>6___PPT9 0.08%4(" d    @@``M  Be?}2FF>6___PPT9 0.06%4(" d    @@``M  Be? }FF>6___PPT9 0.05%4(" d    @@``M  Be?*  FF>6___PPT9 0.07%4(" d    @@``M  Bf?|* FF>6___PPT9 0.10%4(" d    @@``S  Bf?|FF>6___PPT9 t-chan efficiency.(" d   @@``M  Bf?F>6___PPT9 1.79%4(" d    @@``M  B f?2F>6___PPT9 1.39%4(" d    @@``M  Bl!f?}2F>6___PPT9 1.60%4(" d    @@``M  B4f? }F>6___PPT9 1.53%4(" d    @@``M  Bf?*  F>6___PPT9 1.56%4(" d    @@``M  B Bf?|* F>6___PPT9 1.74%4(" d    @@``S  B Sf?|F>6___PPT9 signal efficiency.(" d   @@``I  B(Kf?<F>6___PPT9 sch-cut.(" d3   @@``H  B]f?2<F>6___PPT9 Fisher.(" d3   @@``I  B$pf?}<2F>6___PPT9 HMatrix.(" d3   @@``O  Byf? <}F>6___PPT9  LikelihoodPCA.(" d3   @@``M  B|f?* < F>6___PPT9  LikelihoodD. (" d 3   @@``L  BЌf?|<* F>6___PPT9  Likelihood. 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ZB  s *1 ?f f ZB  s *1 ?% % `B  01 ?`B  01 ?ZB ! s *1 ?  `B  01 ?`B R 01 ?ww 2 0ip y-TMVA cut efficiency for signal and background.0 2. .l2 n 6jJ"`= l2 o 6jJ"`<pH  0޽h ? 3ff~___PPT10i.9+D=' s= @B +v ) 0 (  r  S i }  i r  S (oi  i   0 hs   If two classifiers have similar performance, but significant non-overlapping classifications check if they can be combinedf}!13333 }  0\i z MThe combining job is kind of trivial: do cuts on different classifier output!"N !2N3 NH  0޽h ? 3ff~___PPT10i.hP +D=' s= @B +} ) 0  $(  r  S |M }   r  S `; `)   H  0޽h ? 3ff~___PPT10i.v07+D=' s= @B + ) 0 &@(    0Li'  i   # BCDE4FA33  "D-[Kr=jj[ @    "`cw   BCDE4FAAjJ -D[M-7< @    "`H  0޽h ? 3ff~___PPT10i.xi+D=' s= @B + ) 0  (  r  S (i  i H  0޽h ? 3ff~___PPT10i.`+D=' s= @B +8 ) 0 OG ((  ( ( Tg ))?"`  ( NH6_ж_ж? {)Fisher Linear Discriminant Analysis (LDA)"*0 *f * [ ( N? 1?"6@ NNN?N>q8 )Well known, simple and elegant classifier8* n2)F33&33 *  ( NXE 1?"6@ NNN?NzTt LDA determines axis in the input variable hyperspace such that a projection of events onto this axis pushes signal and background as far away from each other as possible$ nP2 ( bA))?linearjYL ( N\V 1?"6@ NNN?N"q VClassifier computation couldn t be simpler:8, n2+F33&33 , n ( c $A ??"`CR  0  ( Na g ?"6@ NNN?N} Q t* Fisher coefficients F  R  ( # lGOH~IOjJ?"0@NNN?N 2  ( N 1?"6@ NNN?N J  ( Nl 1?"6@ NNN?NF T  `Fisher coefficients given by: , where W is sum CS + CB a nP2On  ( c $A ??"` Mr   ( Ny 1?"6@ NNN?N)   Fisher requires distinct sample means between signal and background Optimal classifier for linearly correlated Gaussian-distributed variablesDE K2J0K2b ( # lZG*H I1?"0@NNN?N d ( 0   <F0 centers the sample mean yFi of all NS + NB events at zero=0 2       =H ( 0޽h ?/@ ( ( (( ̙33___PPT10i.W+D=' s= @B +3 ) 0 22 >>,1(  , , N`_ж_ж?wI .Nonlinear Analysis: Artificial Neural Networks"/0 /f /  , hA ))?nonlinear , N 1?"6@ NNN?N>q ,Achieve nonlinear classifier response by  activating output nodes using nonlinear weights 8\ n332[F33&33 \  , N  1?"6@ NNN?Nq `Call nodes  neurons and arrange them in series:81 n3320F33&33 1  , Tg ?"6@ NNN?Nn6 F ` , rL  , <A ?jJ?S"`?  2  , B"`2 312  , <"`2^ 5i  ,B 6D"`2} 7. . .2  , <"`2: 5N  , 6T"`J > 1 input layer  , 6"`r  Kk hidden layers    , 6"`z &  _ 1 ouput layer 2 , <L "`  312 , <\"` ^ 3j2 , <"` : LM1.  ,B 6'"`} 7. . .t2 , 6"`0  t2 , 6"`0  a ,B 61"`Wy a. . .@(  2 , <d?"`k 31 ,B 6tH"`t 7. . .2 , <Q"`k_ PMk2 t , 6)))"`  r , 6\"` M3 ^.2 output classes (signal and background)// t ,B 6)))"`!Q , 6g"`^s $Nvar discriminating input variables ,%  ! !fB , 6D1mCkC , <A ?jJ?S"`?FC fB  , 6D1q.o. !, <A ?jJ?S"`?> fB ", 6D1qCo #, <A ?jJ?S"`?CF  $,B 6x"`2 7. . . %,B 6<"`  7. . .lB &, <DMMM1qolB ', <DMMM1q~olB (, <DMMM1MKlB ), <DMMM1MKlB *, <DMMM1 A lB +, <DMMM1 C ClB ,, <DMMM1 c lB -, <DMMM1 C  ., <A ?jJ?S"`?O  z /, <Z)))"`[  0, <A ?jJ?S"`?_ z 1, <Z)))"`[= 2, <A ?jJ?S"`?!   z 3, <Z)))"`'   4, 6`"` `` b.( Activation function)  5, 6Ĝ"` C  5with: z 6, <Z)))"` z 7, <Z)))"`=z 8, <Z)))"`-  R 9,  `4g ?"6@`NNN?Nmd  "Feed-forward Multilayer Perceptron##B&    P :, C (AsigmoidC~   ;,  f_ж_ж g ?"6@ NNN?NG  Weierstrass theorem: can approximate any continuous functions to arbitrary precision with a single hidden layer and an infinite number of neurons 80  B    <, N 1?"6@ NNN?N TI  lAdjust weights (=training) using  back-propagation : @7 nP2"3; =, # l_ж_ж g ?"6@ NNN?Ns 6%  a9Three different MultiLayer Per-ceptrons available in TMVA:0        8   \ >, # lD_ж_ж g ?"6@ NNN?N 7?`XP___PPT92* " For each training event compare received and desired MLP outputs {0,1}:  = d  r Correct weights, depending on  and a  learning rate tW10Z2;10F2#,,,,,,,,,,,, ,,,,,,,,,,,,,,,&,,,,,,F!`  ;H , 0޽h ? ̙33___PPT10i.nTP5y+D=' = @B + ) 0 0 4m(  4 4 c $<   ( @`\ 4 S 4kABDTsketch V 4 C .ABDTsketch V 4 0G6 jBoosted Decision Trees (BDT) 0 2  4 0#T \ NLike this phase space is split into regions classified as signal or background$O U2O O 4 0-q   HEach split uses the variable that at this node gives the best separation$I uZ2I3 I 4 07 qI  ISome variables may be used at several node, others may not be used at all$J uZ2J3 JH 4 0޽h ? 33___PPT10i.V`AG-+D=' = @B + 2 0 `(  X  C    i  S i 0  i  H  0޽h ? 3380___PPT10.y=B 0  0((  0^ 0 S     0 c $ 0    H 0 0޽h ? 3380___PPT10.}S"x]LUQ~-1ƠcnB6n/lͱd2K](Z`͜X1dq>,&.=h$7E\$fY&^}_Ђ{9s=s wwi A"iR]C(Qd$d NA]aUS7! ^_2,nj>MsAFԯ'1O!V6  >8ŀU0ŝx]*5׮xֱ~:7Ҧ~/*:uQ[va-K 65o׿/+}L|_?klqb\`xʒPzNw١p$t {p@K(vDy-s &oy{*ݥ &˷>mkWvmm1I{"Nc:d> fC aU{;C,^Hߍ>&/ kd'e1LbB|Jl$sv~"Q­ōAb̋8T>>D?bF_@]e<K~]}o|'Q2JP!QXiZS窼8V|4RINc+y,dp shQԤpev?ݕA*\=!yU%ݱ/Gl;:o9.^gm4)KG_+EYSvWSUsұ*Rq!^A~ȔB&ǯ^Y8fsK֕e|??NC?9y ~]o' Fqs>EjHѿ?ݩғҌMϟFf#gC=bz~?#2`,@]<2(7K J 8㼱;C}xG K!=G]雋O^gvwjNwQ+ӏ4|UBjϊ|ד\I/櫇+ʹwT̪z<*Hšw,Di|DgYOʶUטPGT{@-DKǝFO:Ye eKBs*,nJ=n#ȷuݮ^'f#T1X8~hA-~8?Zg?5wIs"S-CϿ/]ҳzwע翶u.;h_{O~oL/ B=]{xWkQi5H>)R-ࡊcm 9D6`5aoi+"Aē=*'OJ/B1BTvKy3;oO͗oa1%D4@Lھ"8PIo#7̡FWfP]x8g>̜vqaU^ /?b=辸cO6-+HdG(J!;TV(M 㚗Z,y:C=u8Bn3ij~M80t|{&Dqptޛb]^F^rE5*8Zr#%. 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EW interaction of the top quark is sensitive to many types of new physics. the only known way to directly measure CKM matrix element Vtb an important background to many searches for new physics & & ^+ld+f33<3=The main backgrounds&ttbar events ttbar l+jets mode ttbar2l+jets mode (with one lepton lost) W/Z + jets di-boson ( like: WWlvjj ) QCD background ( like: ppbbbar)  ?G fffff$ffffffv<X<[? XStep0: Triggers , Passed e25i or e60 or mu20i Step1: One high Pt lepton at least, with electron pt larger than 25GeV/c muon 20GeV/c Step2: Veto of any 2nd lepton with pt larger than 10GeV/c R>0.4 Step3: at least 2 high pt jets, pt larger than 30GeV/c Step4: Veto on the 5th jet with pT(jet)>15GeV/c Step5: At least 1 btagged high pt jet above 30GeV/c  less than 2.5 Step6: Missing Energy no less than 20GeVoZ&ZZ(a<2+>#\N\@Y=The s-ch cut analysis results"33Processes muon channel electron channel nEvt to L= 1 fb-1 s-channel 2.470.12% 1.490.10% 46 s-ch ()l 0.710.16% 0.640.15% t-channel 0.220.04% 0.140.03% 84 t-chan ()l 0.040.04% 0.000.00% W+t channel 0.100.03% 0.080.03% 11 W+t chan ()l 0.000.00% 0.000.00% ttl+jets 0.090.01% 0.080.01% 223 tt()l+j 0.040.01% 0.020.01% tte + e 0.340.05% tt+ 0.480.06% 150 tt+ e 0.330.04% tt+ 0.690.05% tt e + 0.540.05% 273 tt+ 0.240.04% CP !O F" 4 G3 E  .     I     $$((5((((((C((((((,,T00000044444488W888888<<S 0+_6M1 I5GT\S   Step1: two b-tagged jets with pT>30GeV/c Step2: Veto on any 3rd Jet with pT>15GeV/c --------------------------------------------------------------------------- Using MVA Events selected by steps above the line will be used as MVA input~B#%L! fA,) MultiVariate data Analysis & vMethods in MVA Rectangular cut optimisation Likelihood estimator (PDE approach) Multidimensional likelihood estimator (PDE Range Search approach) Fisher discriminant HMatrix approach (c2 estimator) Multilayer Perceptron Artificial Neural Network (three different implementations) Boosted Decision Trees RuleFit & vZ,ZZ333333     $   S     00No Single Best@  ,>MVA methods output variables ( take Likelihood as an example )"?"five main background processes ttbarlepton+jet, ttbardilepton, ttbar+lepton, W+jets, t"channel \ 3%b$ 3<&Cut value for each method:MVA method to suppress the Bkg: tt->l+jets,tt->l+l,tt->l+tau,W+jets,t-ch --- Factory : ----------------------------- --- Factory : Method: Cut value:Cut value:Cut value:Cut value:Cut value: --- Factory : --------------------------------------------------------------------- --- Factory : Likelihood: +0.538 +0.523 +0.525 +0.539 +0.525 --- Factory : LikelihoodD: +0.004 +0.223 +0.214 +0.019 +0.188 --- Factory : LikelihoodPCA: +0.592 +0.525 +0.519 +0.600 +0.576 --- Factory : HMatrix: -0.184 -0.138 -0.153 -0.183 -0.174 --- Factory : Fisher: +0.051 +0.039 +0.056 +0.057 +0.064 --- Factory : MLP: -0.242 -0.135 -0.194 -0.001 -0.179 --- Factory : CFMlpANN: +0.392 +0.379 +0.395 +0.398 +0.380 --- Factory : TMlpANN: +0.203 +0.355 +0.337 +0.214 +0.546 --- Factory : BDT: -0.069 -0.115 -0.131 -0.081 -0.093 --- Factory : BDTD: -0.141 -0.131 -0.072 -0.120 -0.105 --- Factory : RuleFit: -0.197 -0.221 -0.217 -0.187 -0.227 --- Factory : --------------------------------------------------------------------- --- Factory : which correspond to the working point: eff(signal) = 1 - eff(background)KP]P3)<GDC@JGJACJHJG&"33: Y     H K L E.F/?(B+T:='Combine two or more MVA methods --- Factory : Inter-MVA overlap matrix (signal): --- Factory : -------------------------------------------------------------------------------------------------------------------- --- Factory : Likelihood LikelihoodD LikePCA HMatrix Fisher MLP CFMlpANN TMlpANN BDT BDTD RuleFit --- Factory : Likelihood: +1.000 +0.798 +0.801 +0.763 +0.746 +0.740 +0.775 +0.771 +0.754 +0.739 +0.756 --- Factory : LikelihoodD: +0.798 +1.000 +0.862 +0.858 +0.813 +0.791 +0.719 +0.806 +0.755 +0.788 +0.763 --- Factory : LikelihoodPCA:+0.801 +0.862 +1.000 +0.882 +0.836 +0.815 +0.730 +0.817 +0.778 +0.798 +0.778 --- Factory : HMatrix: +0.763 +0.858 +0.882 +1.000 +0.887 +0.854 +0.700 +0.866 +0.820 +0.845 +0.820 --- Factory : Fisher: +0.746 +0.813 +0.836 +0.887 +1.000 +0.867 +0.699 +0.882 +0.829 +0.863 +0.818 --- Factory : MLP: +0.740 +0.791 +0.815 +0.854 +0.867 +1.000 +0.647 +0.899 +0.873 +0.900 +0.853 --- Factory : CFMlpANN: +0.775 +0.719 +0.730 +0.700 +0.699 +0.647 +1.000 +0.680 +0.649 +0.634 +0.643 --- Factory : TMlpANN: +0.771 +0.806 +0.817 +0.866 +0.882 +0.899 +0.680 +1.000 +0.873 +0.882 +0.846 --- Factory : BDT: +0.754 +0.755 +0.778 +0.820 +0.829 +0.873 +0.649 +0.873 +1.000 +0.872 +0.859 --- Factory : BDTD: +0.739 +0.788 +0.798 +0.845 +0.863 +0.900 +0.634 +0.882 +0.872 +1.000 +0.845 --- Factory : RuleFit: +0.756 +0.763 +0.778 +0.820 +0.818 +0.853 +0.643 +0.846 +0.859 +0.845 +1.000P    !   v   W     fi    ff   fc    fn    fp    fs    fh    fk    ft    fq    fo    wpG0SummaryIt is no doubt that top quark analysis can lead us to some new physics MVA methods can positively improve the cut efficiency in our analysis Now that real data is in the air, we couldn t be too prepared u3J2Thank you ! !C B Z>  Backup slides0ffA  gB  hC yA decision tree is a series of cuts that split sample set into ever smaller sets, leafs are assigned either S or B statushzld3 G]/8Ki{) 0 zz@k_z(  w 'w[   #":. 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