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Subsections

Cone y3 (kt algorithm, DeltaR, E-scheme) with exponentially suppressed forward term


Definition of the observable

The cone central exponentially suppressed three-jet resolution parameter is defined as eq. (35), however the region $ {\cal C}$ is defined as in eq. (9).

Born event used for the analysis

The hard scale (Q) is taken to be the Born partonic center-of-mass energy.
Rapidity of the center of mass of the outgoing pair: 0.000
Cosine of the angle between outgoing jet and beam (in the partonic CM frame): 0.200

Elementary tests on the observable

Test result
check number of jets T
all legs positive T
globalness T

Single emission properties

leg $ \ell$ $ a_{\ell}$ $ b_{\ell}$ $ g_{\ell}(\phi)$ $ d_{\ell}$ $ \langle \ln g_{\ell}(\phi) \rangle$
1 $ 2.000 $ $ 2.000 $ 1 $ 1.042 $ 0
2 $ 2.000 $ $ 2.000 $ 1 $ 1.042 $ 0
3 $ 2.000 $ $ 0.000$ 1 $ 1.042 $ 0
4 $ 2.000 $ $ 0.000$ 1 $ 1.042 $ 0

Multiple emission tests

Test result
continuously global T
exponentiation (condition 1) T
exponentiation (condition 2a) T
exponentiation (condition 2b) T
exponentiation T
additivity F
eliminate subleading effects F
opt. probe region exists F

Information regarding the presence of possible zeros

No zeroes or small values found.

Multiple emission effects

Second order coefficient $ {\cal F}_2$ of the function $ {\cal F}$

Number of events used: 10

Result for each colour configuration
qq -> qq $ {\cal F}_2 =-1.62575\pm 1.26307$
qg -> qg $ {\cal F}_2 =-0.79226\pm 0.59144$
qg -> gq $ {\cal F}_2 =-0.00009\pm 0.00008$
gq -> gq $ {\cal F}_2 =-0.29188\pm 0.27645$
gq -> qg $ {\cal F}_2 =-0.06308\pm 0.05741$
qq -> gg $ {\cal F}_2 =-0.01215\pm 0.01152$
gg -> qq $ {\cal F}_2 =-2.53971\pm 1.84425$
gg -> gg $ {\cal F}_2 =-0.15705\pm 0.13607$

For a precise definition of the configurations see [3].

The multiple emission function $ {\cal F}$

Number of events used: 148410
\begin{figure}\centering \epsfig{file=../OutputAnalysis/y3_DeltaRE_HH_Cone_exp.ff.eps, width=.7\textwidth, angle=0} \end{figure}

Collection of automatically generated results

y3_DeltaRE_HH_Cone_exp.tar.gz collects all files produced automatically by Caesar.
next up previous
Next: Cone y3 (kt algorithm, Up: Observables in hadronic dijet Previous: Central y3 (kt algorithm,
Giulia Zanderighi 2005-05-27