ExclusiveJetStudy < ATLAS

---+ Exclusive Jet Study With Kt, AntiKt and Cambridge Aachen Jet Finders
   * Reference used to calculate bin width with respect to Jet Energy Resoultion (Calculated using dijet sample): [[%ATTACHURL%/fig_07.eps][Jet_Energy_Resolution.eps]]
    (Jet_Energy_Resolution.eps was taken from the Jet energy Resolution Group URL https://atlas.web.cern.ch/Atlas/GROUPS/PHYSICS/CONFNOTES/ATLAS-CONF-2010-054/ )

    Legend Info:

   *  Signal - Purple
   *  NP0 - Black
   *  NP1 - Red
   *  NP2 - Green (Also Sum of the Backgrounds)
   *  NP3 - Blue
%TOC%

---++ %MAKETEXT{"Kt Jet Finder"}%
The K<sub>t</sub> jet finding algorithm can be broken down into three steps.

1) For each particle i, j in the event the K<sub>t</sub> distance is calculated d<sub>ij</sub> = min(P^2<sub>ti</sub>,P^2<sub>tj</sub>) &Delta;R ^2<sub>ij</sub> / R
 

 Where &Delta;R <sub>ij</sub>= (&Delta;eta<sub>i</sub> - &Delta;eta<sub>j</sub>)^2 + (&Delta;phi<sub>i</sub> - &Delta;phi<sub>j</sub>)^2

The Kt distance from particle i to the beam is also calculated 

d<sub>ij</sub> = P^2<sub>iB</sub>

2) The next step is to find the dmin value for all dij and diB. (Note there are differences between the Inclusive and Exclusive K<sub>t</sub> Jet algorithms)

   * INCLUSIVE K<sub>t</sub> Jet Algorithm:

If d<sub>ij</sub> is the dmin value then the i, j particles are combined ( the particles four momenta are summed together).

if d<sub>iB</sub>  is the dmin value then the particle i is a final jet and the particle i is removed from the list.


   * Exclusive K<sub>t</sub> Jet Algorithm:

If d<sub>ij</sub> is the dmin value and is less than dcut then the i, j particles are combined ( the particles four momenta are summed together).

if d<sub>iB</sub>  is the dmin value and is less than dcut then the particle i combined with the beam jet.

3) 

   * INCLUSIVE K<sub>t</sub> Jet Algorithm:

This process is repeated until no more particles are left.

   * Exclusive K<sub>t</sub> Jet Algorithm:

This process ends when all d<sub>ij</sub> and d<sub>iB</sub> are above the dcut value

---++++%MAKETEXT{"Signal and Background Comparisons (Bin Width 100 GeV^2)"}%
---++++++%MAKETEXT{"Signal and Background Comparisons Not Normalized"}%
Fig1.1 <img src="%ATTACHURLPATH%/AllDminSigBckKtUnNorm.png" alt="AllDminSigBckKtUnNorm.png" width='596' height='572' />
   * [[%ATTACHURL%/AllDminSigBckKtUnNorm.eps][AllDminSigBckKtUnNorm.eps]]: 
---++++++%MAKETEXT{"Signal and Background Comparisons Normalized (1/sigma dsigma/dDmin [GeV-2] )"}%
Fig2.1 <img src="%ATTACHURLPATH%/AllDminSigBckKtNorm.png" alt="AllDminSigBckKtNorm.png" width='596' height='572' />
   * [[%ATTACHURL%/AllDminSigBckKtNorm.eps][AllDminSigBckKtNorm.eps]]: 
---++++++%MAKETEXT{"Signal and Background Comparisons Normalized (dsigma/dDmin [pb/GeV^2] )"}%
Fig3.1 <img src="%ATTACHURLPATH%/AllDminSigBckKtNormLuminosityBinWidth.png" alt="AllDminSigBckKtNormLuminosityBinWidth.png" width='596' height='572' />
   * [[%ATTACHURL%/AllDminSigBckKtNormLuminosityBinWidth.eps][AllDminSigBckKtNormLuminosityBinWidth.eps]]: 
---++++++%MAKETEXT{"Signal and Sum of Background Comparisons Normalized (dsigma/dDmin [pb/GeV^2] )"}%
Fig4.1 <img src="%ATTACHURLPATH%/AllDminSigBckKtNormLuminosityBinWidth.png" alt="AllDminSigBckKtNormLuminosityBinWidth.png" width='596' height='572' />
   * [[%ATTACHURL%/AllDminSigBckKtSumNormLuminosityBinWidth.eps][AllDminSigBckKtSumNormLuminosityBinWidth.eps]]:
---++++%MAKETEXT{"Signal and Background Comparisons (Binned in Log(Dmin))"}%
---++++++%MAKETEXT{"Signal and Background Comparisons Not Normalized"}%
Fig5.1 <img src="%ATTACHURLPATH%/AllDminSigBckktUnNormLog10.png" alt="AllDminSigBckktUnNormLog10.png" width='596' height='572' />
   * [[%ATTACHURL%/AllDminSigBckktUnNormLog10.eps][AllDminSigBckktUnNormLog10.eps]]

---++++++%MAKETEXT{"Signal and Background Comparisons Normalized (1/sigma dsigma/dDmin [GeV-2] )"}%
Fig6.1  <img src="%ATTACHURLPATH%/AllDminSigBckktNormLog10.png" alt="AllDminSigBckktNormLog10.png" width='596' height='572' />
   * [[%ATTACHURL%/AllDminSigBckktNormLog10.eps][AllDminSigBckktNormLog10.eps]]

---++++++%MAKETEXT{"Signal and Background Comparisons Normalized (dsigma/dDmin [pb/GeV^2] )"}%
Fig7.1 <img src="%ATTACHURLPATH%/AllDminSigBckktNormLuminosityBinWidthLog10.png" alt="AllDminSigBckktNormLuminosityBinWidthLog10.png" width='596' height='572' />
   * [[%ATTACHURL%/AllDminSigBckktNormLuminosityBinWidthLog10.eps][AllDminSigBckktNormLuminosityBinWidthLog10.eps]]
---++++++%MAKETEXT{"Signal and Sum of Background Comparisons Normalized (dsigma/dDmin [pb/GeV^2] )"}%
Fig8.1 <img src="%ATTACHURLPATH%/AllDminSigBckKtSumNormLuminosityBinWidthLog10.png" alt="AllDminSigBckKtSumNormLuminosityBinWidthLog10.png" width='596' height='572' />
   * [[%ATTACHURL%/AllDminSigBckKtSumNormLuminosityBinWidthLog10.eps][AllDminSigBckKtSumNormLuminosityBinWidthLog10.eps]]

---++++++%MAKETEXT{"Signal and Sum of Background Comparisons Normalized (1/sigma dsigma/dDmin [GeV-2] )"}%
Fig9.1 <img src="%ATTACHURLPATH%/AllDminSigBckKtSumNormUnityLog10.png" alt="AllDminSigBckKtSumNormUnityLog10.png" width='596' height='572' />
   * [[%ATTACHURL%/AllDminSigBckKtSumNormUnityLog10.eps][AllDminSigBckKtSumNormUnityLog10.eps]]

---++ %MAKETEXT{"AntiKt Jet Finder"}%
The Anti-Kt Algorithm follows the same procedure as the K<sub>t</sub> algorithm explained above. The difference between these two algorithms is the d<sub>ij</sub> and d<sub>iB</sub> definitions.

d<sub>ij</sub> = min(1/P^2<sub>ti</sub>,1/P^2<sub>tj</sub>) &Delta;R ^2<sub>ij</sub> / R

and

d<sub>ij</sub> = 1/P^2<sub>iB</sub>


---++++%MAKETEXT{"Signal and Background Comparisons (Bin Width 100 GeV^2)"}%
---++++++%MAKETEXT{"Signal and Background Comparisons Not Normalized "}%
Fig10.1 <img src="%ATTACHURLPATH%/AllDminSigBckAntktUnNorm.png" alt="AllDminSigBckAntktUnNorm.png" width='596' height='572' />
   * [[%ATTACHURL%/AllDminSigBckAntktUnNorm.eps][AllDminSigBckAntktUnNorm.eps]]:
---++++++%MAKETEXT{"Signal and Background Comparisons Normalized (1/sigma dsigma/dDmin [GeV-2] )"}%
Fig11.1 <img src="%ATTACHURLPATH%/AllDminSigBckAntktNorm.png" alt="AllDminSigBckAntktNorm.png" width='596' height='572' />
   * [[%ATTACHURL%/AllDminSigBckAntktNorm.eps][AllDminSigBckAntktNorm.eps]]:
---++++++%MAKETEXT{"Signal and Background Comparisons Normalized (dsigma/dDmin [pb/GeV^2] )"}%
Fig12.1 <img src="%ATTACHURLPATH%/AllDminSigBckAntktNormLuminosityBinWidth.png" alt="AllDminSigBckAntktNormLuminosityBinWidth.png" width='596' height='572' />
   * [[%ATTACHURL%/AllDminSigBckAntktNormLuminosityBinWidth.eps][AllDminSigBckAntktNormLuminosityBinWidth.eps]]:
---++++++%MAKETEXT{"Signal and Sum of Background Comparisons Normalized (dsigma/dDmin [pb/GeV^2] )"}%
Fig13.1 <img src="%ATTACHURLPATH%/AllDminSigBckAntktSumNormLuminosityBinWidth.png" alt="AllDminSigBckAntktSumNormLuminosityBinWidth.png" width='596' height='572' />
   * [[%ATTACHURL%/AllDminSigBckAntktSumNormLuminosityBinWidth.eps][AllDminSigBckAntktSumNormLuminosityBinWidth.eps]]:
---++++%MAKETEXT{"Signal and Background Comparisons (Binned in Log(Dmin))"}%
---++++++%MAKETEXT{"Signal and Background Comparisons Not Normalized"}%
Fig14.1 <img src="%ATTACHURLPATH%/AllDminSigBckKtAntUnNormLog10.png" alt="AllDminSigBckKtAntUnNormLog10.png" width='596' height='572' />
   * [[%ATTACHURL%/AllDminSigBckKtAntUnNormLog10.eps][AllDminSigBckKtAntUnNormLog10.eps]]
---++++++%MAKETEXT{"Signal and Background Comparisons Normalized (1/sigma dsigma/dDmin [GeV-2] )"}%
Fig15.1 <img src="%ATTACHURLPATH%/AllDminSigBckAntKtNormLog10.png" alt="AllDminSigBckAntKtNormLog10.png" width='596' height='572' />
   * [[%ATTACHURL%/AllDminSigBckAntKtNormLog10.eps][AllDminSigBckAntKtNormLog10.eps]]
---++++++%MAKETEXT{"Signal and Background Comparisons Normalized (dsigma/dDmin [pb/GeV^2] )"}%
Fig16.1 <img src="%ATTACHURLPATH%/AllDminSigBckAntktNormLuminosityBinWidthLog10.png" alt="AllDminSigBckAntktNormLuminosityBinWidthLog10.png" width='596' height='572' />
   * [[%ATTACHURL%/AllDminSigBckAntktNormLuminosityBinWidthLog10.eps][AllDminSigBckAntktNormLuminosityBinWidthLog10.eps]]
---++++++%MAKETEXT{"Signal and Sum of Background Comparisons Normalized (dsigma/dDmin [pb/GeV^2] )"}%
Fig17.1 <img src="%ATTACHURLPATH%/AllDminSigBckAntktSumNormLuminosityBinWidthLog10.png" alt="AllDminSigBckAntktSumNormLuminosityBinWidthLog10.png" width='596' height='572' />
   * [[%ATTACHURL%/AllDminSigBckAntktSumNormLuminosityBinWidthLog10.eps][AllDminSigBckAntktSumNormLuminosityBinWidthLog10.eps]]

---++++++%MAKETEXT{"Signal and Sum of Background Comparisons Normalized (1/sigma dsigma/dDmin [GeV-2] )"}%
Fig18.1 <img src="%ATTACHURLPATH%/AllDminSigBckAntktSumNormUnityLog10.png" alt="AllDminSigBckAntktSumNormUnityLog10.png" width='596' height='572' />
   * [[%ATTACHURL%/AllDminSigBckAntktSumNormUnityLog10.eps][AllDminSigBckAntktSumNormUnityLog10.eps]]


-- Main.MichaelWright - 2010-10-06

Attachments

Topic attachments
I	Attachment	History	Action	Size	Date	Who
jpg	ANTIKTDMIN.jpg	r1	manage	22.8 K	2010-10-06 - 13:18	MichaelWright
eps	AllDminSigBckAntKtNormLog10.eps	r1	manage	262.0 K	2010-11-19 - 17:43	MichaelWright
png	AllDminSigBckAntKtNormLog10.png	r1	manage	36.8 K	2010-11-19 - 17:43	MichaelWright
eps	AllDminSigBckAntktNorm.eps	r2 r1	manage	115.9 K	2010-11-17 - 20:45	MichaelWright
jpg	AllDminSigBckAntktNorm.jpg	r1	manage	38.9 K	2010-11-09 - 17:40	MichaelWright
png	AllDminSigBckAntktNorm.png	r2 r1	manage	22.2 K	2010-11-17 - 20:46	MichaelWright
eps	AllDminSigBckAntktNormLuminosity2fb-1.eps	r1	manage	92.8 K	2010-11-11 - 12:19	MichaelWright
jpg	AllDminSigBckAntktNormLuminosity2fb-1.jpg	r2 r1	manage	41.6 K	2010-11-09 - 17:40	MichaelWright
png	AllDminSigBckAntktNormLuminosity2fb-1.png	r1	manage	22.4 K	2010-11-11 - 12:18	MichaelWright
eps	AllDminSigBckAntktNormLuminosityBinWidth.eps	r2 r1	manage	117.4 K	2010-11-17 - 20:47	MichaelWright
png	AllDminSigBckAntktNormLuminosityBinWidth.png	r2 r1	manage	23.3 K	2010-11-17 - 20:47	MichaelWright
eps	AllDminSigBckAntktNormLuminosityBinWidthLog10.eps	r1	manage	289.2 K	2010-11-19 - 17:44	MichaelWright
png	AllDminSigBckAntktNormLuminosityBinWidthLog10.png	r2 r1	manage	37.4 K	2010-11-19 - 18:07	MichaelWright
eps	AllDminSigBckAntktSumNormLuminosity2fb-1.eps	r1	manage	59.5 K	2010-11-11 - 12:20	MichaelWright
jpg	AllDminSigBckAntktSumNormLuminosity2fb-1.jpg	r2 r1	manage	32.3 K	2010-11-09 - 17:41	MichaelWright
png	AllDminSigBckAntktSumNormLuminosity2fb-1.png	r1	manage	17.9 K	2010-11-11 - 12:20	MichaelWright
eps	AllDminSigBckAntktSumNormLuminosityBinWidth.eps	r2 r1	manage	83.0 K	2010-11-17 - 20:47	MichaelWright
png	AllDminSigBckAntktSumNormLuminosityBinWidth.png	r2 r1	manage	19.5 K	2010-11-17 - 20:48	MichaelWright
eps	AllDminSigBckAntktSumNormLuminosityBinWidthLog10.eps	r1	manage	135.7 K	2010-11-19 - 17:44	MichaelWright
png	AllDminSigBckAntktSumNormLuminosityBinWidthLog10.png	r1	manage	26.6 K	2010-11-19 - 17:45	MichaelWright
eps	AllDminSigBckAntktSumNormUnityLog10.eps	r1	manage	132.6 K	2010-11-22 - 11:06	MichaelWright
png	AllDminSigBckAntktSumNormUnityLog10.png	r1	manage	26.8 K	2010-11-22 - 11:06	MichaelWright
eps	AllDminSigBckAntktUnNorm.eps	r2 r1	manage	107.3 K	2010-11-17 - 20:46	MichaelWright
jpg	AllDminSigBckAntktUnNorm.jpg	r1	manage	36.3 K	2010-11-09 - 17:40	MichaelWright
png	AllDminSigBckAntktUnNorm.png	r2 r1	manage	20.1 K	2010-11-17 - 20:46	MichaelWright
eps	AllDminSigBckKtAntUnNormLog10.eps	r1	manage	254.5 K	2010-11-19 - 17:43	MichaelWright
png	AllDminSigBckKtAntUnNormLog10.png	r1	manage	34.2 K	2010-11-19 - 17:44	MichaelWright
eps	AllDminSigBckKtNorm.eps	r3 r2 r1	manage	110.2 K	2010-11-17 - 20:49	MichaelWright
jpg	AllDminSigBckKtNorm.jpg	r1	manage	37.4 K	2010-11-09 - 17:39	MichaelWright
png	AllDminSigBckKtNorm.png	r2 r1	manage	21.0 K	2010-11-17 - 20:49	MichaelWright
eps	AllDminSigBckKtNormLuminosity2fb-1.eps	r1	manage	89.1 K	2010-11-11 - 12:20	MichaelWright
jpg	AllDminSigBckKtNormLuminosity2fb-1.jpg	r2 r1	manage	40.0 K	2010-11-09 - 17:40	MichaelWright
png	AllDminSigBckKtNormLuminosity2fb-1.png	r1	manage	21.5 K	2010-11-11 - 12:21	MichaelWright
eps	AllDminSigBckKtNormLuminosityBinWidth.eps	r2 r1	manage	112.8 K	2010-11-17 - 20:50	MichaelWright
png	AllDminSigBckKtNormLuminosityBinWidth.png	r2 r1	manage	22.5 K	2010-11-17 - 20:51	MichaelWright
eps	AllDminSigBckKtSumNormLuminosity2fb-1.eps	r1	manage	69.6 K	2010-11-11 - 12:21	MichaelWright
jpg	AllDminSigBckKtSumNormLuminosity2fb-1.jpg	r2 r1	manage	31.4 K	2010-11-09 - 17:40	MichaelWright
eps	AllDminSigBckKtSumNormLuminosityBinWidth.eps	r2 r1	manage	80.4 K	2010-11-17 - 20:51	MichaelWright
png	AllDminSigBckKtSumNormLuminosityBinWidth.png	r2 r1	manage	18.8 K	2010-11-17 - 20:52	MichaelWright
eps	AllDminSigBckKtSumNormLuminosityBinWidthLog10.eps	r1	manage	136.0 K	2010-11-19 - 17:37	MichaelWright
png	AllDminSigBckKtSumNormLuminosityBinWidthLog10.png	r1	manage	26.9 K	2010-11-19 - 17:38	MichaelWright
eps	AllDminSigBckKtSumNormUnityLog10.eps	r1	manage	132.8 K	2010-11-22 - 11:05	MichaelWright
png	AllDminSigBckKtSumNormUnityLog10.png	r1	manage	27.6 K	2010-11-22 - 11:06	MichaelWright
eps	AllDminSigBckKtUnNorm.eps	r3 r2 r1	manage	102.4 K	2010-11-17 - 20:50	MichaelWright
jpg	AllDminSigBckKtUnNorm.jpg	r1	manage	34.8 K	2010-11-09 - 17:39	MichaelWright
png	AllDminSigBckKtUnNorm.png	r2 r1	manage	19.5 K	2010-11-17 - 20:50	MichaelWright
eps	AllDminSigBckktNormLog10.eps	r1	manage	261.7 K	2010-11-19 - 17:36	MichaelWright
png	AllDminSigBckktNormLog10.png	r1	manage	36.5 K	2010-11-19 - 17:36	MichaelWright
eps	AllDminSigBckktNormLuminosityBinWidthLog10.eps	r1	manage	289.0 K	2010-11-19 - 17:37	MichaelWright
png	AllDminSigBckktNormLuminosityBinWidthLog10.png	r1	manage	36.3 K	2010-11-19 - 17:37	MichaelWright
eps	AllDminSigBckktUnNormLog10.eps	r1	manage	253.3 K	2010-11-19 - 17:36	MichaelWright
png	AllDminSigBckktUnNormLog10.png	r1	manage	36.0 K	2010-11-19 - 17:37	MichaelWright
jpg	AlpgenJimmyttbarlnqqNp0AntiKtDmin.jpg	r1	manage	36.7 K	2010-11-02 - 12:58	MichaelWright
jpg	AlpgenJimmyttbarlnqqNp0KtDmin.jpg	r1	manage	36.1 K	2010-11-02 - 13:08	MichaelWright
jpg	AlpgenJimmyttbarlnqqNp1AntiKtDmin.jpg	r1	manage	37.6 K	2010-11-02 - 13:00	MichaelWright
jpg	AlpgenJimmyttbarlnqqNp1KtDmin.jpg	r1	manage	36.5 K	2010-11-02 - 13:09	MichaelWright
jpg	AlpgenJimmyttbarlnqqNp2AntiKtDmin.jpg	r1	manage	38.3 K	2010-11-02 - 13:00	MichaelWright
jpg	AlpgenJimmyttbarlnqqNp2KtDmin.jpg	r1	manage	36.9 K	2010-11-02 - 13:09	MichaelWright
jpg	AlpgenJimmyttbarlnqqNp3AntiKtDmin.jpg	r1	manage	36.0 K	2010-11-02 - 13:01	MichaelWright
jpg	AlpgenJimmyttbarlnqqNp3KtDmin.jpg	r1	manage	35.9 K	2010-11-02 - 13:09	MichaelWright
jpg	Pythia_ttH120_neglepnu_jj_bb_AntKt_Dmin.jpg	r1	manage	38.1 K	2010-11-02 - 13:07	MichaelWright
jpg	PythiattH120neglepnujjbb.jpg	r1	manage	39.3 K	2010-11-02 - 12:52	MichaelWright
jpg	SignalBckAntiKt01Dmin.jpg	r1	manage	40.9 K	2010-11-02 - 13:16	MichaelWright
jpg	SignalBckAntiKt12Dmin.jpg	r1	manage	41.7 K	2010-11-02 - 13:17	MichaelWright
jpg	SignalBckAntiKt23Dmin.jpg	r1	manage	42.8 K	2010-11-02 - 13:17	MichaelWright
jpg	SignalBckAntiKt34Dmin.jpg	r1	manage	42.0 K	2010-11-02 - 13:17	MichaelWright
jpg	SignalBckAntiKt45Dmin.jpg	r1	manage	40.6 K	2010-11-02 - 13:18	MichaelWright
jpg	SignalBckAntiKt56Dmin.jpg	r2 r1	manage	39.6 K	2010-11-02 - 13:37	MichaelWright
jpg	SignalBckAntiKt67Dmin.jpg	r2 r1	manage	39.7 K	2010-11-02 - 13:38	MichaelWright
jpg	SignalBckAntiKt78Dmin.jpg	r1	manage	39.9 K	2010-11-02 - 13:19	MichaelWright
jpg	SignalBckAntiKt89Dmin.jpg	r1	manage	39.2 K	2010-11-02 - 13:19	MichaelWright
jpg	SignalBckKt01Dmin.jpg	r1	manage	41.9 K	2010-11-02 - 14:44	MichaelWright
jpg	SignalBckKt12Dmin.jpg	r1	manage	41.4 K	2010-11-02 - 14:45	MichaelWright
jpg	SignalBckKt23Dmin.jpg	r1	manage	41.5 K	2010-11-02 - 14:45	MichaelWright
jpg	SignalBckKt34Dmin.jpg	r1	manage	39.5 K	2010-11-02 - 14:45	MichaelWright
jpg	SignalBckKt45Dmin.jpg	r1	manage	40.2 K	2010-11-02 - 14:45	MichaelWright
jpg	SignalBckKt56Dmin.jpg	r1	manage	40.4 K	2010-11-02 - 14:45	MichaelWright
jpg	SignalBckKt67Dmin.jpg	r1	manage	40.5 K	2010-11-02 - 14:46	MichaelWright
jpg	SignalBckKt78Dmin.jpg	r1	manage	39.7 K	2010-11-02 - 14:46	MichaelWright
jpg	SignalBckKt89Dmin.jpg	r1	manage	39.5 K	2010-11-02 - 14:46	MichaelWright
jpg	SignalKTDMIN.jpg	r1	manage	22.4 K	2010-10-06 - 13:16	MichaelWright
eps	fig_07.eps	r1	manage	28.2 K	2010-11-10 - 09:33	MichaelWright
pdf	king_poster.pdf	r1	manage	1328.7 K	2010-11-09 - 17:18	MichaelWright

This topic: ATLAS > WebHome > ExclusiveJetStudy
Topic revision: r13 - 2010-11-22 - MichaelWright