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Subsections

Central thrust minor with recoil term


Definition of the observable

The central thrust minor with recoil term is defined as

$\displaystyle T_{m,{\cal C}} \equiv T_{m,{\cal C}} + {\cal R}_{\perp,{\cal C}}\>,$ (13)

where $ {\cal C}$ denotes a central rapidity region, $ T_{m,{\cal C}}$ is the central thrust minor defined in (11) and $ {\cal R}_{\perp,{\cal C}}$ is the normalised transverse recoil of the measured system as defined in eq. (8).

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 $ 1.000 $ $ 0.000$ tabulated $ 2.041 $ $ -0.220$
2 $ 1.000 $ $ 0.000$ tabulated $ 2.041 $ $ -0.220$
3 $ 1.000 $ $ 0.000$ $ \vert sin(\phi)\vert$ $ 2.041 $ $ -\ln(2)$
4 $ 1.000 $ $ 0.000$ $ \vert sin(\phi)\vert$ $ 2.041 $ $ -\ln(2)$

Azimuthal dependence

\begin{figure}\centering \epsfig{file=../OutputAnalysis/tmin_HH_rec.phidep.eps, width=.7\textwidth, angle=0} \end{figure}

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 T
opt. probe region exists T

Information regarding the presence of possible zeros

leg 1 2 3 4
1 good zero good zero no zero no zero
2 good zero good zero no zero no zero
3 no zero no zero no zero no zero
4 no zero no zero no zero no zero

Classification of legs into divergent sequences with shared properties

Sequence number 1 has 2 legs
Legs in the sequence: 1 2
Orientation of the legs: 1 -1
Type of zero: zt_sumvecVf
Position of the divergence: $ \sum_{i \in seq.} R_i = 2.000$

Multiple emission effects

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

Number of events used: 10000

Result for each colour configuration
qq -> qq $ {\cal F}_2 =-0.43291\pm 0.01928$
qg -> qg $ {\cal F}_2 =-0.59285\pm 0.02457$
qg -> gq $ {\cal F}_2 =-0.51659\pm 0.02644$
gq -> gq $ {\cal F}_2 =-0.54736\pm 0.03155$
gq -> qg $ {\cal F}_2 =-0.54268\pm 0.02563$
qq -> gg $ {\cal F}_2 =-0.79862\pm 0.02559$
gg -> qq $ {\cal F}_2 =-0.24394\pm 0.02894$
gg -> gg $ {\cal F}_2 =-0.45071\pm 0.01835$

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

The multiple emission function $ {\cal F}$

Number of events used: 1000000
\begin{figure}\centering \epsfig{file=../OutputAnalysis/tmin_HH_rec.ff.eps, width=.7\textwidth, angle=0} \end{figure}

Collection of automatically generated results

tmin_HH_rec.tar.gz collects all files produced automatically by Caesar.
next up previous
Next: Cone thrust minor with Up: Observables in hadronic dijet Previous: Central thrust minor with
Giulia Zanderighi 2005-05-27