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# Exclusive Jet Study With Kt, AntiKt and Cambridge Aachen Jet Finders

Legend Info:

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

## Kt Jet Finder

The Kt jet finding algorithm can be broken down into three steps.

1) For each particle i, j in the event the Kt distance is calculated dij = min(P^2ti,P^2tj) ΔR ^2ij / R

Where ΔR ij= (Δetai - Δetaj)^2 + (Δphii - Δphij)^2

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

dij = P^2iB

2) The next step is to find the dmin value for all dij and diB. (Note there are differences between the Inclusive and Exclusive Kt Jet algorithms)

• INCLUSIVE Kt Jet Algorithm:

If dij is the dmin value then the i, j particles are combined ( the particles four momenta are summed together).

if diB is the dmin value then the particle i is a final jet and the particle i is removed from the list.

• Exclusive Kt Jet Algorithm:

If dij is the dmin value and is less than dcut then the i, j particles are combined ( the particles four momenta are summed together).

if diB is the dmin value and is less than dcut then the particle i combined with the beam jet.

3)

• INCLUSIVE Kt Jet Algorithm:

This process is repeated until no more particles are left.

• Exclusive Kt Jet Algorithm:

This process ends when all dij and diB are above the dcut value

Fig1.1
Fig2.1
Fig3.1
Fig4.1

Fig5.1

Fig6.1

Fig7.1
Fig8.1

Fig9.1

## AntiKt Jet Finder

The Anti-Kt Algorithm follows the same procedure as the Kt algorithm explained above. The difference between these two algorithms is the dij and diB definitions.

dij = min(1/P^2ti,1/P^2tj) ΔR ^2ij / R

and

dij = 1/P^2iB

Fig10.1
Fig11.1
Fig12.1
Fig13.1

#### Signal and Background Comparisons (Binned in Log(Dmin))

Fig14.1
Fig15.1
Fig16.1
Fig17.1

###### Signal and Sum of Background Comparisons Normalized (1/sigma dsigma/dDmin [GeV-2] )
Fig18.1

-- MichaelWright - 2010-10-06

Topic attachments
I Attachment History Action Size Date Who Comment
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png AllDminSigBckKtNormLuminosityBinWidth.png r2 r1 manage 22.5 K 2010-11-17 - 20:51 MichaelWright
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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
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jpg AllDminSigBckKtUnNorm.jpg r1 manage 34.8 K 2010-11-09 - 17:39 MichaelWright
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png AllDminSigBckktNormLog10.png r1 manage 36.5 K 2010-11-19 - 17:36 MichaelWright
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jpg SignalBckKt34Dmin.jpg r1 manage 39.5 K 2010-11-02 - 14:45 MichaelWright
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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
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jpg SignalKTDMIN.jpg r1 manage 22.4 K 2010-10-06 - 13:16 MichaelWright
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Topic revision: r13 - 2010-11-22 - MichaelWright

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