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Subsections

Central thrust minor with exponentially suppressed forward term


Definition of the observable

The central thrust minor with exponentially suppressed term is defined as

$\displaystyle T_{m, {\cal E}} \equiv T_{m,{\cal C}} + {\cal E}_{{\cal{\bar C}}}\>,$ (12)

where $ {\cal C}$ denotes a central rapidity region, $ T_{m,{\cal C}}$ is the central thrust minor defined in (11) and $ {\cal E}_{{\cal{\bar C}}}$ is the exponentially suppressed term of eq. (5).

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$ $ \vert sin(\phi)\vert$ $ 1.021 $ $ -\ln(2)$
2 $ 1.000 $ $ 0.000$ $ \vert sin(\phi)\vert$ $ 1.021 $ $ -\ln(2)$
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)$

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

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_sumVsignkx
Position of the divergence: $ \sum_{i \in seq.} R_i = 1.000$

Multiple emission effects

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

Number of events used: 1000

Result for each colour configuration
qq -> qq $ {\cal F}_2 =-0.43650\pm 0.07877$
qg -> qg $ {\cal F}_2 =-0.35702\pm 0.15385$
qg -> gq $ {\cal F}_2 =-0.54390\pm 0.10190$
gq -> gq $ {\cal F}_2 =-0.33256\pm 0.10327$
gq -> qg $ {\cal F}_2 =-0.19740\pm 0.15022$
qq -> gg $ {\cal F}_2 =-0.66947\pm 0.08747$
gg -> qq $ {\cal F}_2 = 0.57724\pm 0.35617$
gg -> gg $ {\cal F}_2 =-0.26448\pm 0.08663$

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

The multiple emission function $ {\cal F}$

Number of events used: 772250
\begin{figure}\centering \epsfig{file=../OutputAnalysis/tmin_HH_exp.ff.eps, width=.7\textwidth, angle=0} \end{figure}

Collection of automatically generated results

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